Science with the Murchison Widefield Array
Abstract: Significant new opportunities for astrophysics and cosmology have been identified at low radio frequencies. The Murchison Widefield Array is the first telescope in the Southern Hemisphere designed specifically to explore the low-frequency astronomical sky between 80 and 300 MHz with arcminute angular resolution and high survey efficiency. The telescope will enable new advances along four key science themes, including searching for redshifted 21 cm emission from the epoch of reionisation in the early Universe; Galactic and extragalactic all-sky southern hemisphere surveys; time-domain astrophysics; and solar, heliospheric, and ionospheric science and space weather. The Murchison Widefield Array is located in Western Australia at the site of the planned Square Kilometre Array (SKA) low-band telescope and is the only low-frequency SKA precursor facility. In this paper, we review the performance properties of the Murchison Widefield Array and describe its primary scientific objectives.
Keywords: cosmology: dark ages, reionization, first stars—instrumentation: interferometers—radio continuum: general—radio lines: general—sun: general
The Murchison Widefield Array (MWA111http://mwatelescope.org) is a low-frequency radio telescope operating between 80 and 300 MHz. It is located at the Murchison Radio-astronomy Observatory (MRO) in Western Australia, the planned site of the future Square Kilometre Array (SKA222http://skatelescope.org) low-band telescope, and is one of three telescopes designated as a Precursor for the SKA. The MWA has been developed by an international collaboration, including partners from Australia, India, New Zealand, and the United States. It has begun operations in 2013. In this paper, we review the science capabilities of the telescope and the primary science objectives motivating its design and operation. Details of the technical design and specifications of the MWA as built are presented in a companion article (Tingay et al. 2013), which supercedes the earlier Lonsdale et al. (2009) description of plans for the instrument.
The four key science themes driving the MWA are: 1) searching for redshifted 21 cm emission from the epoch of reionisation (EoR) in the early Universe; 2) Galactic and extragalactic surveys; 3) time-domain astrophysics; and 4) solar, heliospheric, and ionospheric science and space weather. We describe the plans and objectives for each of the key science themes in Sections 2 through 5.
The frequency range targeted by the MWA is one of the more difficult portions of the spectrum for ground-based radio telescopes due to strong distortions of incoming signals by the Earth’s ionosphere and also due to congested terrestrial communications, including FM radio, TV stations, aircraft navigation, and satellite communications. Hence, the low-frequency radio sky remains one of the least explored domains in astronomy. The MRO site mitigates many issues associated with radio interference for the telescope, but processing of MWA observations requires particular care to correct for the ionospheric distortions.
The unifying design theme for the MWA is that of high survey efficiency. Many of the science goals require large areas of the sky to be surveyed and the EoR objective further requires very high surface brightness sensitivity. It was recognized early in the development of the MWA that arcminute angular resolution is a convenient balance between the opposing tensions of maximizing scientific returns and minimizing technical complexity. Arcminute angular scales are sufficient to probe typical ionised bubbles during the EoR, study diffuse and polarized emission structures in the Galaxy, reduce extragalactic source confusion, image bursts in the solar corona near the Sun’s surface, and localize transient events with sufficient precision to allow follow-on searches at other wavelengths. In order to achieve arcminute resolution, the longest baseline of the MWA is 3 km. This distance is within the scale size of a typical isoplanatic patch in the ionosphere, allowing simplying assumptions to be employed for widefield ionospheric calibration and keeping real-time imaging computations within reach of modest computer clusters.
|Number of tiles||128|
|Tile area (m)||21.5|
|Total collecting area (m)||2752|
|Receiver temperature (K)||50|
|Typical sky temperature (K)||350|
|Field of view (deg)||610|
|Angular resolution (arcmin)||2|
|Frequency range (MHz)||80–300|
|Instantaneous bandwidth (MHz)||30.72|
|Spectral resolution (MHz)||0.04|
|Temporal resolution (s)||0.5|
|Minimum baseline (m)||7.7|
|Maximum baseline (m)||2864|
|Estimated confusion limit (mJy)||10|
For frequency-dependent parameters, listed values are given at 150 MHz
where is the Boltzmann constant, is the system temperature, is the effective area of each antenna tile, is the number of antenna tiles, is the correlator efficiency (assumed to be unity), is the instantaneous bandwidth, and is the number of polarizations. For continuum imaging at 150 MHz, this reduces to seconds for in units of MHz and in units of mJy. The intrinsic source confusion limit for the MWA angular resolution of is estimated to be mJy at 150 MHz (Condon 1974; Windhorst et al. 1985; Condon et al. 1998; Subrahmanyan & Ekers 2002). Hence, the MWA will reach the confusion limit in seconds for continuum imaging or within several hours in a single 40 kHz spectral channel.
The surface brightness sensitivity of the MWA varies significantly with angular scale. The MWA antenna layout emphasizes a dense, central core in order to achieve a high surface brightness sensitivity on degree-scales for EoR science. For a typical EoR spectral resolution of 1 MHz, the brightness temperature uncertainty is less than 150 mK after 1 hour of integration on degree-scales, whereas it is approximately 3 K on arcminute-scales.
In the remainder of the paper, we discuss the four key science themes. Section 2 describes the epoch of reionisation science. In Section 3, broad categories of radio astronomy science are discussed within the context of sky surveys. Section 4 describes the time-domain astronomy that will be possible with the MWA and Section 5 presents the primary solar, heliospheric, and ionospheric science goals. We conclude in Section 6.
2 Epoch of Reionisation
One of the most significant events in the history of the intergalactic medium (IGM) was the reionisation of hydrogen. The epoch of reionisation marks the time when the small fraction of matter within galaxies significantly affected their surroundings (and hence future generations of galaxies), ionizing the intergalactic gas and heating it from s of Kelvin to K.
The MWA has been designed with the goal of detecting 21 cm emission from the reionisation epoch. It is one of three new radio arrays specifically targeting this science objective, along with PAPER333http://eor.berkeley.edu and LOFAR444http://www.lofar.org. The 21 cm hyperfine transition line of neutral hydrogen is anticipated to provide an ideal probe of reionisation. Its weak oscillator strength (in contrast to the Ly- line) allows 21 cm photons to propagate from fully neutral environments at high redshifts without appreciable absorption. This property makes it possible to directly observe the neutral hydrogen gas before and during reionisation.
Unlike the continuum emission of the cosmic microwave background (CMB), 21 cm emission contains information in the frequency (or redshift) dimension in addition to in angle, enabling the study of the full history of reionisation. Redshifted 21 cm emission from neutral hydrogen gas in the IGM should appear as a faint, diffuse background in radio frequencies below MHz for redshifts above , where MHz. At these redshifts, the expected unpolarized differential brightness temperature, , of the redshifted 21 cm line relative to the CMB is readily calculable from basic principles (see Furlanetto et al. 2006, for a complete review) and is given by
where is the neutral fraction of hydrogen, is the local over-density in baryons, K is the temperature of CMB at the redshift of interest, is the spin temperature that describes the relative population of the ground and excited states of the 21 cm transition, is the Hubble constant, and is the velocity gradient along the line of sight.
All of these factors contain unique astrophysical information. The dependence on traces the development of the cosmic web (Scott & Rees 1990), while the velocity factor creates line-of-sight distortions that can be used to separate different components of the signal (Barkana & Loeb 2005). The other two factors depend on the ambient radiation fields in the early Universe. The local neutral fraction, , is determined by the ionizing radiation emitted by galaxies and possibly quasars. Theoretical studies suggest that the distribution of neutral gas during reionisation is very inhomogeneous (e.g. McQuinn et al. 2007). Finally, the 21 cm spin temperature, , is determined primarily by three mechanisms that affect the hyperfine level populations: the ambient radiation at 21 cm due to the CMB with , the ultraviolet background that tends to drive to the gas temperature (Wouthuysen 1952; Field 1958), and heating from the cosmological X-ray background (Chen & Miralda-Escudé 2004). By the time the Universe is a few percent ionized, most calculations predict that , such that fluctuations in are not important (e.g. Furlanetto et al. 2006).
Figure 1 illustrates how the factors in Equation 2 combine to create the observable 21 cm signal. The panels in this figure are from the simulations of McQuinn et al. (2007) and are cMpc across or in angle (a small fraction of the MWA field of view). The left panel of Figure 1 shows the expected signal just before reionisation begins, when the fluctuations are dominated by local perturbations in the matter density. In the middle panel, reionisation is underway (), and the large-scale voids in the map signify ionized regions. After reionisation has largely finished (right panel), only localized pockets of neutral hydrogen remain.
The MWA will attempt to probe structures in the redshifted 21 cm background in order to reveal the astrophysics of reionisation. The MWA is expected to be sensitive to the power spectrum of the 21 cm signal over the redshift range (Section 2.1). Its observations have the potential to characterise the nature of the sources that are responsible for ionizing the IGM, chart the evolution of the global neutral fraction, and probe the nature of quasar emissions by constraining the properties of their ionized proximity zones.
2.1 21 cm Power Spectrum
Initial MWA observations aimed at detecting 21 cm emission will focus on two target regions at relatively high Galactic latitudes (see Figure 2). Over the course of one year, approximately 1000 hours of optimal nighttime observations will be divided between these two regions. The signal-to-noise ratio (S/N) in each pixel will be , with the highest S/N on the largest angular modes. Hence, rather than imaging the 21 cm brightness temperature in the target fields, reionisation science with the MWA will focus on statistical measures of the 21 cm emission. The number of independent measurements in a raw, multi-frequency MWA data cube will be . These samples record largely Galactic synchrotron and free-free emission ( K) and extragalactic continuum sources ( K), with only a small contribution from the redshifted 21 cm signal ( mK). The primary approach planned for the MWA is to calculate the power spectrum of spatial fluctuations of the 21 cm signal.
The three-dimensional power spectrum of redshifted 21 cm emission is the square of the Fourier transform of (Eq. 2). It has a large spherically-symmetric component due to the isotropy of space, but has slightly more power for modes that point in the line-of-sight direction that results from peculiar velocities. The predicted components in the full three-dimensional power spectrum can be decomposed into terms with different powers of , where is the cosine of the angle between the line of sight and the wavevector (Kaiser 1987; Barkana & Loeb 2005; McQuinn et al. 2006). Thus,
During reionisation, the term typically dominates, and the most important contribution to is the fluctuations in the neutral fraction (McQuinn et al. 2006).
Averaging over angle to yield loses some statistical information, but at the sensitivity of MWA this loss is minor during reionisation. With one year of the planned observing program, the MWA can constrain at a given redshift and across a range of scales spanning cMpc with total (Morales & Hewitt 2004; Bowman et al. 2006; McQuinn et al. 2006; Beardsley et al. 2013). The sensitivity of the MWA to the spherically-averaged power spectrum is shown in Figure 3.
The properties of the power spectrum, , during reionisation are dominated by the characteristics of the ionized bubbles (Figure 1, middle panel) that are determined by the ionizing radiation produced by the first galaxies and quasars. Figure 3 illustrates how contains information about the reionisation process. It plots for the fiducial model of Lidz et al. (2008) at several neutral fractions. The shape of the power spectrum evolves considerably as the hydrogen in the IGM becomes ionized, with power shifting from small scales initially, to larger scales later when large ionized bubbles have formed. Eventually, the amplitude decreases as hydrogen reionisation completes.
The sensitivity forecasts shown in Figure 3 utilize both the primary and secondary target fields in combination, assuming that each field has been observed over an 8 MHz bandwidth (corresponding to ). The full 32 MHz instantaneous bandwidth of the MWA will yield four such measurements spanning a contiguous redshift range of . Initial observations will focus on the lower redshifts (), where the sensitivity of the instrument is highest due to the lower sky temperature. Observations at low redshifts will crucially demonstrate whether the foreground subtraction is successful, since the quality of the foreground subtraction will be readily apparent at , where no 21 cm signal should be detectable by the MWA since after reionisation (Wyithe & Loeb 2008).
2.1.1 Sources of reionisation
The 21 cm sky contains a wealth of information about the properties of the ionizing sources because they strongly affect the topology of the EoR. Reionisation scenarios dominated by stars in galaxies produce well-defined ionized regions, while “miniquasars” (small accreting black holes) yield more diffuse features (Zaroubi & Silk 2005) and reionisation processes involving decaying/annihilating dark matter particles would be very inhomogeneous (Belikov & Hooper 2009). The 21 cm observations could even distinguish between different stellar reionisation scenarios (Lidz et al. 2008). For example, more massive galaxies produce larger ionized regions (Furlanetto et al. 2004; McQuinn et al. 2007). If it is able to constrain the shape and evolution of the power spectrum, the MWA will reveal the nature of some of the first cosmological objects.
2.1.2 The Neutral Fraction
Existing observations have provided tantalizing hints about reionisation, but even more unanswered questions. CMB observations find that the average redshift of reionisation is (Komatsu et al. 2009), and quasar absorption spectra imply that the Universe was totally ionized by , one billion years after the Big Bang. In addition, several studies have interpreted the large saturated regions at in these absorption spectra as evidence for the end of reionisation (e.g., Fan et al. 2006), but this conclusion is disputed (Becker et al. 2007; Mesinger 2010).
Detection of the 21 cm power spectrum will yield measures of through predictable features that depend on the neutral fraction. As evident in Figure 3, the intensity of cMpc-scale fluctuations in 21 cm brightness temperature briefly fades when reionisation begins and the first galaxies ionize the overdense regions within a couple of cMpc of them. Next, the ionized regions surrounding individual galaxies overlap, creating cMpc ionized regions and an increase in power on these scales. Finally, all of the fluctuations fade as these bubbles overlap, swallowing the neutral hydrogen that remains. Each of these trends can be used to disentangle .
For many possible sources that have been considered in the literature (such as galaxies, quasars, and mini-halos), the amplitude of the power spectrum peaks at %. The MWA could probe the global ionization history by tracking the evolution of this amplitude and shape of the 21 cm power spectrum. Using these features, the volume filling factor of neutral hydrogen (comparable to the mass-averaged neutral fraction) can be constrained after approximately two years of observations to between at significance for the redshift where the power spectrum achieves its maximum amplitude (Lidz et al. 2008). While unlikely, it is possible that the IGM is highly ionized over the range of redshifts measured by the MWA. Lidz et al. (2008) found that a null detection with the MWA at would be able to constrain the neutral fraction to %.
Observations of individual quasar HII regions offer an additional probe of the global neutral hydrogen fraction since the contrast between the ionized HII region and neutral IGM can provide a measurement of the neutral fraction at the redshift of the quasar. Geil et al. (2008) have found that the shape of the quasar HII regions can be recovered from foreground subtracted MWA maps by using the entire data cube to help determine the contrast between the external IGM and ionized interior.
2.2 Quasar HII Regions
The detection of large quasar-generated HII regions in redshifted 21 cm emission late in the epoch of reionisation may be possible with the MWA (Wyithe et al. 2005; Wyithe 2008). Geil et al. (2008) have modeled the observation of quasar HII regions in a partially ionized IGM. Figure 4 shows a simulated example of a recovered quasar HII region with the MWA after approximately one observing season. The recovery is possible only for quasars with positions known a priori. Although the EoR fields will not overlap the Sloan Digital Sky Survey (SDSS) fields, where the existing known quasars reside, the contemporaneous SkyMapper optical survey (Keller et al. 2007) should find around one quasar at , and around 5 quasars at per MWA field.
Like all 21 cm signatures of the reionisation era, the detection of a quasar HII region will need to overcome the difficulties associated with the removal of bright Galactic and extragalactic foregrounds. Geil et al. (2008) find the primary effect of continuum foreground removal is to reduce contrast in the image. In particular, contributions to the 21 cm intensity fluctuations that have a scale length comparable to the frequency bandpass of the observation are removed by foreground subtraction. This loss of contrast, however, does not severely affect the ability of 21 cm observations to measure the size and shape of the HII region. To demonstrate this quantitatively, Geil et al. (2008) modeled the HII region shape as a spheroid described by six parameters and showed that the shape recovered following foreground removal agrees well with the shape derived directly from fitting using the input HII region model.
Using the recovered best-fit shape of the HII region, the global neutral fraction of hydrogen in the IGM can be measured directly from the contrast in intensity between regions that are within and beyond the HII region. However, since foreground removal lowers the observed contrast between the HII region and the IGM, such a measurement of the neutral fraction requires a correction factor. The value of this correction factor depends on the reionisation history and the polynomial used for foreground subtraction and can be accounted for using astrophysical models.
2.3 Non-Gaussian Statistics
During the reionisation epoch, fluctuations in the 21 cm emission are expected to be highly non-Gaussian due to galaxy bias and the patchy structure imparted by the ionized bubbles in the IGM. The power spectrum (or two-point correlation function), therefore, is not a sufficient descriptor of the properties of the field, and additional statistical measures can provide complementary information. Several extensions to the power spectrum have been proposed in this context, including the 21 cm-galaxy cross spectrum (Furlanetto et al. 2006; Wyithe et al. 2007; Lidz et al. 2009), directly measuring the one-point probability distribution function (PDF) of the 21 cm brightness temperature distribution as a function of smoothing scale (Mellema et al. 2006; Ichikawa et al. 2010; Petrovic & Oh 2011) or its higher moments (Wyithe & Morales 2007), the three-point correlation function (bispectrum), matched filters (Datta et al. 2008), the threshold clustering function, and other derived metrics (Barkana & Loeb 2008).
2.4 Foreground Subtraction
The ability of the MWA to achieve its reionisation science is entirely contingent on the successful separation of the 21 cm signal from astrophysical foregrounds. Hence, developing and demonstrating the techniques required to subtract foregrounds is a critical research objective.
2.4.1 Reference Pipeline
The baseline foreground subtraction strategy is a multi-stage process consisting of the following principal stages:
1 - Bright source subtraction. The first step in foreground subtraction is the removal of bright points sources (e.g. extragalactic AGN). This is necessary because the sidelobes of these sources mask the 21 cm signal. Recent theoretical studies have indicated that bright point source subtraction must be complete for sources with flux greater than mJy in order to allow for successful subsequent Galactic continuum foreground subtraction (Liu et al. 2009). The brightest sources in the field will be “peeled” (self-calibrate and subtract) from the raw visibility measurements (Mitchell et al. 2008). Efficient techniques to remove point sources from gridded and integrated maps are also under investigation (Pindor et al. 2011; Bernardi et al. 2011).
2 - Diffuse continuum subtraction. A variety of mechanisms contribute to diffuse continuum emission in the low-frequency radio sky including Galactic synchrotron emission, Galactic free-free emission, extragalactic free-free emission, and a sea of faint extragalactic point sources that are too numerous to identify individually in maps and are, thus, said to be “confused”. All of these foregrounds are significantly stronger than the redshifted 21 cm signal and have considerable angular structure on the sky (see Figure 2 and Santos et al. 2005, their Figure 5). But the emission mechanisms of these foregrounds produce smooth spectra that follow power-law profiles, making them possible to separate from the redshifted 21 cm emission by their long spectral coherence scales compared to the small, MHz spectral coherence of the reionisation signal. A variety of techniques have been proposed to accomplish this separation including polynomial fits along the spectral axis of each pixel in an image map or its uv-map conjugate, Minkowsky-functionals, and non-parametric techniques. The baseline approach planned for the MWA is to fit and subtract a third-order polynomial from each pixel in the uv-domain representations of the bright source cleaned maps. This technique has been demonstrated for the MWA in the limit of perfect instrumental calibration (Liu et al. 2009; Bowman et al. 2009; Liu et al. 2009).
3 - Polarized leakage subtraction. In addition to the foreground issues discussed thus far, gain and phase calibration errors and non-ideal feeds conspire to contaminate all Stokes parameters further. This leakage leads to some portion of the complex linear polarization signal finding its way into the Stokes intensity maps that will be used for the redshifted 21 cm measurements. By using rotation measure (RM) synthesis (Brentjens & de Bruyn 2005, see also § 3.3) to exploit the Fourier relationship between the polarized signal and the Faraday dispersion function, it is possible to identify components of polarized signal with specific Faraday depth. The three-dimensional Stokes data set is first re-sampled along the frequency axis into the natural -basis for Faraday rotated emission. A one-dimensional Fourier transform is then applied along each line of sight. Any feature observed with a non-zero Faraday depth in the three-dimensional RM synthesis map will, by definition, be polarized contamination. By applying an inversion process together with knowledge of the instrument’s specific leakage behaviour, this contamination can be subtracted (Geil et al. 2011).
4 - Statistical template fitting and power spectrum estimation. Many classes of errors and residuals remaining in the maps after the foreground cleaning stages described above can be modeled given sufficient knowledge of the instrumental response (Morales et al. 2006; Bowman et al. 2009; Datta et al. 2010; Morales et al. 2012). The statistical properties of these residuals can be exploited to provide an additional layer of foreground removal by fitting templates of the residual statistical structures during the final redshifted 21 cm power spectrum parameter estimation. This technique is now commonly employed in CMB power spectrum analysis to account for the angular power of faint point sources and the effects of gravitational lensing.
2.4.2 Unified Parameter Estimation
The stages of foreground subtraction outlined above can be performed discretely, resulting in a series of output products, the last of which is used as the input into power spectrum estimation and other statistical tests to extract information from the redshifted 21 cm signal. Alternatively, they can be performed in a unified matrix framework that simultaneously fits models for the foreground contributions and the 21 cm statistical signal (Liu & Tegmark 2011; Tegmark 1997). The latter has the advantage of producing an optimal result that minimizes both bias (from thermal noise and foreground contamination) and correlations between parameters, and yields the smallest possible error bars, but at the expense of a large computational overhead. Advances in processing power and new efforts at sparse matrix reduction have begun to enable the trial application of unified parameter estimation in simulations and preliminary data, and it is expected this approach will ultimately be the preferred technique for data analysis.
3 Galactic and Extragalactic Science
The MWA offers several exciting science opportunities under the collective banner “Galactic and Extragalactic” science. The major input into this science will come from a deep all-sky survey over the MWA frequency range with full polarimetry and spectral resolution. This survey is a critical undertaking as it will also be used by the other science programs as a basis for an all-sky foreground model and the identification of calibrators. The data will also be combined with other new surveys, including GALFACTS and POSSUM (1.4 GHz), S-PASS (2.4 GHz), and Planck (27 GHz to 1 THz) surveys.
The following sections describe a selection of Galactic and extragalactic experiments for which the MWA is well suited. These projects capitalize on three advantages of the MWA’s low observing frequencies: (1) non-thermal sources will be very bright; (2) Faraday rotation and depolarization will be very strong; and (3) along some sightlines free-free absorption will be significant.
3.1 The Cosmic Web
Theory suggests that the infall of baryons into the cosmic web results in high Mach number intergalactic shocks (e.g., Cen & Ostriker 1999; Ryu et al. 2003). When combined with seed magnetic fields, efficient cosmic ray acceleration is possible, resulting in steep-spectrum synchrotron emission (Keshet et al. 2004; Pfrommer et al. 2006; Pfrommer et al. 2008; Skillman et al. 2011; Araya-Melo et al. 2012). This may be a ubiquitous component of the extragalactic radio sky (Keshet et al. 2004), and recent simulations suggest that the majority of the luminous radio shocks can be found in the outskirts of massive galaxy clusters (Araya-Melo et al. 2012). The MWAs centrally condensed antenna configuration provides the theoretical sensitivity required to make the maps of this relativistic cosmic web. However, the accurate subtraction of discrete sources requires long baselines and high image fidelity (Brown 2011). This may limit direct to the densest portions of the web, though statistical detection may be possible (Keshet et al. 2004; Brown et al. 2010).
3.2 Radio Relics and Clusters
The MWA is also well suited for studying the diffuse, steep-spectrum synchrotron emission from clusters of galaxies. These objects, which include the centrally located ’radio halos’ and peripheral ’radio relics’ (Kempner et al. 2004), are probes of relativistic electrons and large-scale magnetic fields in the intra-cluster medium (ICM; Ferrari et al. 2008; Rudnick et al. 2009). Possible mechanisms for accelerating the cosmic ray electrons responsible for this emission are turbulent re-acceleration following a cluster merger (Brunetti et al. 2001; Petrosian 2001) and hadronic collisions between cosmic-ray and thermal protons (Dennison 1980; Blasi & Colafrancesco 1999). Low frequency observations of clusters can probe these different models (Cassano et al. 2010, 2012). The MWA’s surface-brightness sensitivity will enable it to detect very steep-spectrum halos and relics. Predictions for the number of such halos and relics detectable with other low frequency instruments are in the range of several hundred out to (Cassano et al. 2012).
At 150 MHz, the MWA will resolve 1 Mpc structures out to a redshift of 0.2 and 500 kpc structures out to . As with the detection of the cosmic web, confusion will be the major obstacle. Use of complementary higher resolution observations to model and subtract confusing sources or will be required (Brown 2011). The TIFR GMRT Sky Survey (TGSS) that covers 32,000 square degrees north of declination with angular resolution presents a good comparison survey to the MWA for this work.
3.3 Faraday Tomography and Magnetic Fields
The Milky Way and most other spiral galaxies all show well-organized, large-scale magnetic fields, but the processes that amplify and maintain these fields are still not understood. On smaller scales, fluctuations in these magnetic fields regulate the dissipation of large-scale gas flows via a turbulent cascade. However, it is as yet unclear what processes generate turbulence in the interstellar medium (ISM), and how the subsequent spectrum and outer scale of turbulence depend on the surrounding conditions.
Polarized radio waves experience Faraday rotation when they propagate through a magnetized plasma. The amount of rotation depends on the square of the wavelength, and on the path integral of along the line of sight (where is the electron density of the ISM, and is the magnetic field strength parallel to the line of sight). By exploiting this phenomenon, the MWA will provide a new view of the large- and small-scale properties of otherwise unobservable magnetic fields in the Milky Way.
At the low observing frequencies of the MWA, small rotation measures have substantial effects on the distribution of polarized emission from the sky. This emission directly traces invisible foreground magnetic fields, which imprint their structure on the smooth polarized synchrotron emission from the Milky Way via foreground Faraday rotation. By imaging the polarized sky at a range of frequencies, the MWA will provide direct measurements of the turbulent cascade in the local interstellar medium, and will reveal the detailed magnetic geometries of discrete large-scale structures such as the Local Bubble, the North Polar Spur and the Magellanic Clouds. Using the high spectral resolution of the MWA, we can also apply RM synthesis techniques (see also § 2.4.1) to isolate overlapping RM components. An example is provided in Fig. 5, which shows the turbulent pattern seen at 188 MHz in a large region of the sky. The MWA will provide a unique tomographic view of magneto-ionized gas, allowing the identification of multiple emitting and rotating regions along the same line of sight.
The MWA is expected to make the largest contributions to Galactic science by observing at mid- and high-latitude regions. Depolarisation is already severe in the inner Galactic plane at 1.4 GHz (Reich et al. 1990; Wolleben et al. 2006; Haverkorn et al. 2006) and it is likely that much of the inner Galactic plane will appear completely depolarised below 300 MHz, although Bernardi et al. (2009) have detected polarized emission at arcminute scales at 150 MHz. Regions at mid and high latitudes, on the other hand, show considerable diffuse Galactic polarised structure at 350 MHz (Haverkorn et al. 2003b; de Bruyn et al. 2006; Schnitzeler et al. 2009). The high sensitivity of the MWA to extended structure will enable it to map the diffuse polarised emission down to very low intensities, thus making visible weak Galactic magnetic fields in the local interstellar medium and Galactic extended disk and halo that are undetectable at higher frequencies. RM synthesis across the entire MWA frequency band will result in a RM resolution of 0.3 rad m, which gives unprecedented detail in RM structure, allowing detailed studies of e.g. interstellar magnetised turbulence, or magnetism in old supernova remnants. Increasing depolarisation as a function of decreasing frequency will give independent measurements of the amount and scale of fluctuations in the magneto-ionised medium (Sokoloff et al. 1998; Gaensler et al. 2001).
A powerful new additional probe of the magnetised ISM comes from the polarisation gradient, in which the spatial derivatives of Stokes and are combined to reveal locations on the sky at which the electron density or magnetic field strength show sharp fluctuations (Gaensler et al. 2011). Application of the polarisation gradient at higher frequencies reveals a complex tangled network of narrow filaments (see Figure 6). These structures are a superset of the “polarisation canals” seen in many radio polarisation images (Haverkorn & Heitsch 2004; Fletcher & Shukurov 2007; Schnitzeler et al. 2009), and directly reveal the locations of shocks, cusps and shear in the turbulent ISM. Calculation of the polarisation gradient for magnetohydrodynamic simulations of interstellar turbulence shows that the intensity, alignment and morphology of these filaments depend sensitively on input parameters such as the sonic Mach number and magnetic field strength (Burkhart et al. 2012). By applying statistical metrics such as the genus and kurtosis, one can directly compare observations of the polarisation gradient with a grid of simulations, and thereby extract quantitative information on the otherwise unobservable turbulent parameters of the ISM.
Two effects distinguish the applicability of this technique for MWA data. First, the “polarisation horizon” (Uyaniker et al. 2003) at the MWA’s low observing frequencies is very nearby ( pc, depending on observing frequency and Galactic coordinates; Bernardi et al. 2013), meaning that we can probe small-scale local features. Second, the change in electron density or magnetic field strength needed to produce a fluctuation in or is very small (since the amount of Faraday rotation is proportional to ). For these two reasons, application of the polarisation gradient to MWA data should provide a detailed view of turbulence in the solar neighbourhood, and will be able to extend studies of the global turbulent cascade to smaller amplitudes and smaller angular scale than has been possible from previous observations.
Rotation measures from extragalactic polarised point sources can be used to probe the intervening medium between the source and the observer, where generally the Galactic RM component dominates. Little is known about the polarisation percentages of extragalactic point sources at low frequencies. At 1.4 GHz, the expected number of linearly polarised sources down to a sensitivity of 1 mJy is about per steradian (Beck & Gaensler 2004). The number of polarised sources may decrease at low frequencies due to increased internal depolarisation. At 1.4 GHz, Mesa et al. (2002) found a median polarisation fraction of 2.2% for sources above 80 mJy in the NVSS and Taylor et al. (2009) have compiled a catalog from the NVSS of over 30,000 polarised sources detected at better than and selected for polarisation fraction larger than 0.5%. The average polarisation fraction of sources in this catalog is %. At 350 MHz Schnitzeler et al. (2009) found an average polarisation fraction of 3% for polarized sources brighter than 3 mJy (see also Haverkorn et al. 2003c). Bernardi et al. (2013), have surveyed 2400 square degrees at 188 MHz using the 32-element MWA development system. They achieved noise levels of 15 mJy in polarisation and found only one polarized source, PMN J0351-2744, which had a polarization fraction of 1.2% and an RM of +34 rad m. The source was detected at 20 . They also placed an upper limit of % on the polarisation fraction of over one hundred other bright sources above 4 Jy and detected diffuse polarised emission from the Galaxy with a peak level of 13 K.
Beam depolarization is likely to be partially responsible for the lack of detected sources by Bernardi et al. (2013) since the MWA demonstrator had only 15 arcmin resolution. Using 1% polarization fraction as a lower limit, along with source flux counts from the 6C survey (Hales et al. 1988) and the ratio of polarised sources to unpolarized sources of 14% found by Banfield et al. (2011), we estimate the number of sources that will be detectable by the MWA assuming a fiducial sensitivity of 1 mJy to be approximately source per square degree. These extragalactic source RMs will provide a “grid” (Beck & Gaensler 2004; Taylor et al. 2009) that can be used to model large-scale magnetic fields in the Milky Way and, if deeper observations can provide a sufficiently dense grid, in nearby galaxies. Provided that polarisation calibration is accurate enough, the MWA will observe point source RM values with superb precision.
3.4 The Magellanic Clouds
The Magellanic System, consisting of the Large Magellanic Cloud (LMC), Small Magellanic Cloud (SMC), and other components, such as the Magellanic Stream and the Bridge and Leading Arm, is the Milky Way’s most significant neighbour. The Clouds and the Milky Way are engaged in a three-body interaction allowing us to study at close hand the effect of dynamical interaction processes on the physical structure, star-formation, magnetic fields and chemistry of such galaxies. The location of the Clouds in the deep southern sky makes them ideal candidates to observe with the MWA in preparation for much more detailed studies at similar frequencies with the SKA.
A comparison of radio and far-infared emission in the Magellanic Clouds and other nearby galaxies allows for a more detailed study of the correlation of cosmic rays, magnetic fields and star-formation than is possible for distant galaxies. At GHz frequencies, ATCA and IRAS studies allowed Hughes et al. (2006) to find that the radio/far-infrared (FIR) relation breaks down at pc (3 arcmin). Residual correlation at smaller scales remains due to the thermal component of the radio emission. Low-frequency observations of 6C galaxies have shown that the radio/FIR correlation remains good at 151 MHz (Fitt et al. 1988). Such observations are useful for further separating thermal and non-thermal sources of emission, for the study of synchrotron spectral aging and cosmic ray diffusion, and for allowing k-corrections in cosmological studies.
The Magellanic Clouds are among only a handful of galaxies where the magnetic field can be studied via both Faraday rotation of the polarized emission from background sources (sensitive to the line of sight field) and the polarized component of the diffuse emission (sensitive to the field direction in the plane of the sky). Studies of the Clouds at GHz frequencies (Haynes et al. 1986; Gaensler et al. 2005a; Mao et al. 2008) have been useful in determining field strengths and morphology. Low-frequency observations will contribute by locating regions, perhaps associated with wind-blown superbubbles, of warm ionized gas unseen in X-rays, and by allowing more detailed studies of Faraday structures. The MWA will investigate the existence of a possible pan-Magellanic magnetic field via the old relativistic electron population which will have travelled far from its source.
3.5 Cosmic Ray Mapping
One of the most exciting possibilities of the MWA survey at the lowest frequencies is the mapping of the three-dimensional cosmic ray emissivity of the Milky Way. Within the MWA frequency range below approximately 200 MHz, Galactic HII regions turn optically thick, blocking emission from the synchrotron background of the Galaxy. Typical optical depths of HII regions are expected to be to 5. These HII regions, therefore, appear in absorption relative to the surroundings and the residual surface brightness at these positions allows a direct measurement of the integrated emissivity of cosmic-ray electrons out to the HII region.
Nord et al. (2006) used 74 MHz VLA observations of HII regions to detect such absorption against the Galactic synchrotron background. They found 92 regions with absorption features, 42 of which have measured distances. While such features have been seen since the 1950s, previous observations had poor resolution. The 10 arcmin VLA beam allowed for better spatial resolution while still remaining sensitive to low surface brightness. A number of surveys at higher frequencies have been conducted. Paladini et al. (2003) have compiled a catalog of 1442 diffuse and compact HII regions based on 24 prior surveys, although a number of regions are omitted in their catalog due to their emphasis on regions of order 10 arcmin (for an example of more recent identifications, see Bania et al. 2010). Approximately 800 of these regions have radio line velocity measurements providing distances. Paladini et al. (2004) report on the distribution of the HII regions, most of which have Galactic latitude within degrees of the plane and are distributed throughout the disk, with the spiral arm structure of the Galaxy evident in their distribution.
Because many Galactic HII regions have well-constrained distance estimates, MWA measurements of the synchrotron absorption features will allow for a three-dimensional map of the relativistic gas content in the Milky Way (e.g. Sun et al. 2008). For HII regions with kinematic distance degeneracies, MWA detections may be able to break the ambiguities. Since the MWA will have a view of the inner and outer Galaxy, it can provide the first accounting of the overall distribution of Galactic cosmic rays and of the large-scale magnetic fields that cause them to emit. In addition, due to its ability to measure the absorption in HII regions as function of frequency, the MWA should be able to yield the cosmic ray electron emissivity spectrum in the direction of the HII regions. As noted by Nord et al. (2006), multi-frequency observations should lead, therefore, to the mapping of the emissivity spectrum of cosmic rays.
Combined with the MWA’s expected abilitity to detect and characterise supernova remnants (described below) these measurements will open new probes into the full energy budget of the Galaxy, including the role of supernovae in the production of energetic cosmic rays, as well as the diffusion and aging of the cosmic rays.
3.6 Galactic Supernova Remnants
Statistical studies of supernova rates suggest that there should be supernova remnants (SNRs) in our Galaxy (Li et al. 1991; Tammann et al. 1994), in stark contrast to the SNRs currently known (Green 2004; Brogan et al. 2006). This deficit is likely due to the observational selection effects, which discriminate against the identification both of old, faint, large SNRs, and young, small SNRs. Discovery of these ‘missing’ SNRs, and hence a characterisation of the full SNR population, is crucial for understanding the production and energy density of Galactic cosmic rays and the overall energy budget of the interstellar medium.
Recent studies have demonstrated that low-frequency interferometric maps are a very efficient way of identifying new SNRs, because of the comparatively steep radio spectra of these systems. Most notable has been the survey of Brogan et al. (2006), shown in Fig.7, which tripled the number of known SNRs in a 40 deg patch of the Galactic plane. The MWA will have a unique view of virtually all the inner Galaxy. The high-quality images that we expect to derive, across a range of frequencies, will provide a superb data set from which to identify hundreds of previously unidentified SNRs. Additionally, attempts to uncover old, faint sources will be greatly enhanced by development of new detection algorithms which we plan to implement on MWA data (e.g., circle Hough transforms, see Hollitt & Johnston-Hollitt 2012). These sources will be of interest both as a statistical ensemble, and because among them will be individual objects with unique or extreme properties.
3.7 Radio Recombination Lines
Low-frequency radio recombination lines (RRLs) are a sensitive tool for probing interstellar plasma. Below 100 MHz, carbon RRLs have been detected, but only in absorption, indicating an association with cold ( K) neutral gas or molecular clouds. At frequencies above 100 MHz, both carbon and hydrogen recombination lines have been observed, with the hydrogen lines likely associated with normal HII regions as at higher frequencies. Both carbon and hydrogen lines have been found in observations along the Galactic plane as far as degrees off the plane in Galactic latitude.
Measurements of RRLs in the MWA frequency range will provide an opportunity to study both emission and absorption processes. They will enable new studies of diffuse photodissociation zones that lie between molecular clouds and the general ISM and yield estimates for electron temperature and density in these regions. Carbon RRLs at 75 MHz exhibit a linewidth range from 5 to 50 km s (Erickson et al. 1995), corresponding to 1–12 kHz. Although, the MWA spectral resolution is not ideal for such narrow lines, single-pixel RRL observations have previously been used with much success (Alves et al. 2012). Sensitivity can also be regained by stacking different transitions within the observing band.
4 Time-domain Astrophysics
Systematic exploration of the time domain is becoming a dominant frontier in astronomy, and significant resources have been deployed across the electromagnetic spectrum in order to probe and understand transient and time-variable phenomena. Radio transients vary on time scales ranging from less than one second to many days. The sources are compact objects or energetic/explosive events, and each type is being investigated at the forefront of astrophysics.
Radio observations can provide keys to understanding the explosive and transient Universe by directly measuring the effects of magnetic fields and non-thermal processes that drive the outbursts (e.g., Cordes et al. 2004). Even more intriguingly, synergies with multi-messenger astronomy (correlating electromagnetic transients with events detected in gravitational waves or neutrinos) have the potential to unlock substantial new physics. The MWA spans the upper frequencies associated with coherent radio sources and the lower frequencies of non-thermal magnetohydrodynamic processes. This makes observations of transients with the MWA particularly useful for understanding the non-equilibrium processes that drive dynamic astrophysical systems.
The potential sources of radio transient emission fall into five broad categories: coronal emission from nearby stars/substellar objects, emission from compact objects such as neutron stars and accreting black holes, explosive events such as gamma-ray bursts (GRBs) and radio supernovae, planetary emission from nearby systems, and new phenomena discovered through the opening of new regions of observational phase space. Of these, the first three are known sources of transient radio emission (at least at some frequencies), while the last two categories constitute more speculative targets. However, there are firm theoretical expectations that these latter objects should give rise to transient radio emission, and our searches will be far deeper than previous surveys.
First, we discuss in detail some of the expected physical constraints to be gained from the MWA observations of known sources of transients (§ 4.1). We then explore some of the more speculative science targets that we hope to explore with the new phase space opened up by the MWA (§ 4.2). We describe the new capabilities afforded by the MWA in § 4.3 and in § 4.4 we discuss observations of pulsars, which can be both steady and transient sources.
4.1 Known Transient Targets
4.1.1 Low-Mass Stars and Brown Dwarfs
Magnetized plasmas in stellar coronae (the outer layers of a star’s magenetosphere) produce strong radio emission through non-thermal, collective, and/or coherent processes. This emission reflects local properties such as density and magnetic field strength, and can be used to understand magnetic field generation, magnetospheric structure, angular momentum evolution, magnetic flaring mechanisms and accretion processes. Furthermore, magnetic fields provide one of the few indirect probes of stellar interiors.
While radio studies of late-type stars and active binaries are well-established (see Güdel 2002 for a review), radio observations of the lowest mass stars and brown dwarfs — objects incapable of sustained core hydrogen fusion (Kumar 1962) — have only recently been demonstrated, and comprise a relatively new tool in this active field of research. M dwarfs with masses 0.1–0.5 are a dominant stellar component of the Galaxy, comprising 70% of all stars. They are also known to exhibit high levels of magnetic activity, with strong surface magnetic fields (2–4kG, compared to 10G on the Sun; Saar & Linsky 1985; Johns-Krull & Valenti 1996) and substantial filling factors (50–80% of the surfaces of M dwarfs are covered by magnetic fields; Johns-Krull & Valenti 1996). Magnetic radio emission from M dwarfs has been observed in many nearby systems, both flaring and quiescent, predominantly in the 1–10GHz band. These studies have confirmed the existence of large-scale, organized magnetic fields around stars with fully convective interiors (Donati et al. 2006), despite the loss of the dynamo that powers the Solar field (Parker 1955).
For even lower mass stars and brown dwarfs, the detection of both quiescent and flaring radio emission was initially a surprise (Berger et al. 2001), as the flux from these sources is orders of magnitude greater than that expected from the Güdel-Benz relation555A correlation between radio flux and X-ray luminosity that extends over several orders of magnitude; see Güdel & Benz 1993.. Several late-type sources have now been detected at GHz frequencies (Fig. 8), in many cases despite the absence of optical or X-ray emission (see Berger 2006 for a review). Indeed, while H and X-ray luminosities relative to bolometric luminosities appear to decline with spectral type, relative radio emission inexorably increases up to the substellar regime (see Burgasser & Putman 2005; Berger 2006; Audard et al. 2007). Understanding why radio emission is so prominent among these very low mass objects, and whether such emission correlates with age, rotation or other physical parameters, remain outstanding questions.
Radio flares in particular demonstrate that this emission is associated with magnetic events, occurring over timescales of microseconds to minutes (e.g., Osten & Bastian 2006). The brightness temperatures of bursting emissions frequently exceed K, indicating coherent processes as confirmed by high circular polarizations (30–100%). Yet radio variability from these sources is remarkably diverse, from strong (30mJy peak flux), narrowband, fully polarized, bursting emission with frequency drifts (Burgasser & Putman 2005); to periodic bursts suggestive of pulsar-like beaming (Hallinan et al. 2007, and Fig. 8); to order-of-magnitude variations spanning years (Antonova et al. 2007). It has even been suggested that the observed “quiescent” emission from these sources may be the result of low-level, sustained electron cyclotron maser emission (e.g., Hallinan et al. 2007). The physical origin of transient radio bursts from low-mass stars, their incidence rates (duty cycle estimates range from 1–30%) and their spectral characteristics are either poorly constrained or entirely unknown. These questions have a direct impact on whether low mass stars comprise a significant fraction of radio transients in general (e.g., Kulkarni & Phinney 2005; Kaplan et al. 2008).
The MWA has the potential to contribute substantially to our understanding of both quiescent and flaring magnetic emission from low mass stars and brown dwarfs. By sampling the 80–300MHz band, MWA observations can be used to constrain the peak frequency () and spectral indices about , enabling determination of coronal field strengths (currently estimated at 10–100G; Burgasser & Putman 2005; Berger 2006), electron densities and the fundamental nature of the emission. Audard et al. (2007) argue that radio emission from very low mass stars may in fact peak in the 100MHz range if it arises from electron cyclotron emission from weak fields (MHz for 10–100 G fields; see also Osten et al. 2006). The sensitivity of the MWA is essential for this work, given the intrinsic faintness, but variable nature, of radio emission from low-mass stars; estimates range over Jy to 100mJy at 100MHz at a distance of 10pc, depending on the emission mechanism. Similarly, the MWA’s wide-field capabilities are necessary to build up statistically robust samples, particularly given the roughly uniform distribution of nearby low-mass stars in the vicinity of the Sun. High spectral resolution observations enabled by the MWA will permit studies of field dynamics and remote determinations of physical parameters such as the heights of magnetic reconnection regions, electron speeds, and the density profile of the stellar coronae.
While a variety of neutron stars can produce transient or steady radio emission (discussed in more detail in § 4.4), some subclasses of neutron stars can give rise to extremely energetic, explosive phenomena. With magnetic fields of G, magnetars (Duncan & Thompson 1992; Thompson & Duncan 1995) undergo catastrophic reconnection events known as “giant flares” that release erg. With each flare the magnetars release blobs of relativistic plasma (Frail et al. 1999; Gaensler et al. 2005b; Cameron et al. 2005) with peak fluxes of hundreds of mJy at frequencies from 200MHz up to 100GHz (Fig. 8). Such events are detected through high-energy satellites, but the radio monitoring provides vital diagnostics of the flare properties and energetics.
Beyond this, some magnetars unexpectedly have steady radio emission that is modulated at the X-ray pulse period (2–12s). Prior searches for steady-state radio emission from magnetars had not been successful (e.g., Kaplan et al. 2002), but Halpern et al. (2005) found a radio source coincident with the magnetar XTE J1810–197 (also Camilo et al. 2006, and others). Monitoring the magnetars through both individual pulses and phase-averaged emission, looking for both giant flares and the onset of bright phases, will help understand the duty cycles of the radio-bright phases and hence unravel the puzzles that they present.
4.1.3 X-ray Binaries
Relativistic outflows or jets are a widespread yet transient consequence of accretion onto compact objects. Radio jets are seen for black-hole binaries (BHBs) and some neutron-star binaries (NSBs). These sources are collectively called “microquasars” (Fig. 8), since they exhibit scaled-down and rapidly evolving versions of the jets in active galactic nuclei. Microquasars exhibit several types of jets with different ranges of radio power and ejection timescale. Their study is crucially dependent on the correlated variations in radio and X-ray properties.
The most common type of jet in microquasars is the quasi-steady jets associated with the X-ray hard state (Fender et al. 2004; McClintock & Remillard 2006) that can persist for months in some sources. Steady jets are estimated to be mildly relativistic (i.e. 0.7; see Fender 2006), but there is uncertainty about the baryonic content and hence the scale of the mass outflow and the fraction of accretion energy needed to power such jets.
Impulsive ejections are also produced by BHBs and some NSBs and the brightest of these are seen as bipolar radio jets that move with velocities as high as (Mirabel & Rodríguez 1999). Impulsive jets are associated with X-ray state transitions (Fender et al. 2004). In two BHBs superluminal radio ejections, coinciding with major X-ray flares, led to the appearance of X-ray jets (more than one year later), that were imaged with Chandra as the jets impacted the local ISM (Tomsick et al. 2003; Corbel et al. 2005). Smaller and more frequent ejections in BHBs are seen as correlated X-ray and radio flares with 10min timescales and radio-band delays (Eikenberry et al. 2000; Wilms et al. 2007). The available X-ray data usually reveal recurrent and abrupt changes in flux and spectral components that associate the small jets with instability cycles in the inner accretion disk.
Study of the connection between disks and jets is fundamentally based on correlated X-ray and radio behaviour, as outlined above. During the last decade, the primary limitation for this enterprise has been the absence of dedicated radio instruments that can partner with X-ray facilities, but the MWA will radically change this landscape. Additional partners for jet investigations arise with Fermi (10 keV to 300 GeV), and the recent expansions of TeV Observatories (e.g., HESS and VERITAS; 50 GeV to 50 TeV).
Recent measurements with the GMRT (150–1450 MHz) in India have shown variable radio emission in GRS 1915+105 (Ishwara-Chandra et al. 2005, see Fig. 8) and Sco X–1 (Pandey et al. 2005), with spectra that do not exhibit self-absorption cutoff at low frequencies. This is interpreted as emission from the outer regions of a compact jet and from an optically-thin impulsive jet, respectively (also see Pandey et al. 2006, 2007).
Overall, the MWA has the capability to monitor many known sources for which X-ray activity is detected, establishing outburst statistics and extending the spectra down to low frequencies where the total energetics are constrained. These observations can help to measure the burst luminosity function and the X-ray/radio correlation, and investigate their dependences on various intrinsic source parameters such as mass and X-ray luminosity. The MWA will provide data archives for the two microquasars that are reliable sources of jets: SS 433 and GRS 1915+105, as well as the BHBs and NSBs with the fastest outburst recurrence time (1–2 years: 4U 1630–47, and GX339–4, Aql X–1, 4U 1608–52, and the rapid burster). These monitoring observations will also find new outbursts of known sources, acting as a trigger for observations across the electromagnetic spectrum. Finally, the MWA has the potential to discover new sources: the large majority of the known BHBs and candidates are transient sources that were discovered because of their X-ray outbursts (Remillard & McClintock 2006).
4.2 Serendipitous Transient Sources
Beyond the source categories discussed above, there are a number of object classes which we might hope to see (see Cordes et al. 2004 and Fender et al. 2006). These vary from the local to the cosmological, and the population predictions also span a wide range. Currently, low-frequency transient radio emission has been proposed but not observed for these objects, and there are only limited observational constraints. Such sources are among the most exciting possibilities for the MWA transient surveys (§ 4.3). Those surveys cover a large area of unexplored phase space — orders of magnitude in several different parameters — and provide a real opportunity to discover unique sources.
4.2.1 Extra-Solar Planets
In the Solar System, Jupiter is a strong source of low-frequency radio emission produced by cyclotron maser processes in its magnetosphere (Gurnett 1974; Wu & Lee 1979). Observations have established that many of the Jovian planets discovered around other stars (e.g., Marcy et al. 2005) have magnetic fields (Shkolnik et al. 2003), although the field strengths are not known. By analogy, many of those planets should have similar emission. This would then be a novel way of directly detecting the planetary companions, something that has only been possible in a few special cases otherwise (Charbonneau et al. 2002). This would allow an unprecedented probe of the planetary systems, such as estimating properties of the planetary magnetosphere, measuring its rotation rate, and observing the interaction between the star and planet (Lazio et al. 2004). Grießmeier et al. (2007) discuss theoretical expectations for radio emission from known extrasolar planets. Most of the sources are predicted to emit at the microJansky level between 10–200 MHz. A handful of planets are expected to emit at the mJy level in the MWA bandpass. Their results are heavily model-dependent and MWA observations of the currently known exoplanet population will help constrain further models.
There have been a number of searches for emission from such planets (e.g., Farrell et al. 1999; Bastian et al. 2000; Zarka et al. 2001; Lazio et al. 2004; Lazio & Farrell 2007). There are no detections to date, although the results are not very constraining. The emission is predicted to be very sporadic and bursty, and it is difficult to search effectively for such emission with pointed instruments like the VLA. Instead, new instruments like the MWA are likely to be the best way to detect extra-solar planets (Lazio et al. 2004).
4.2.2 Explosive Events
Gamma Ray Bursts and radio supernovae may both produce short and long duration transient radio signals. The afterglow emission from each type will provide signals at the upper frequencies accessible to the MWA that are delayed from the initial explosion (due both to plasma in the ISM and to changing opacities) and slowly brighten over a few weeks to months (Morales et al. 2005). These afterglows can be important diagnostics for explosion energetics (Soderberg et al. 2007, 2010) and can help understand particle acceleration in the nearby Universe (Chakraborti et al. 2011). While the long timescales at low frequencies make the MWA unfavorable for discovery of such events, the rarity of the more extreme ones mean that the very large FOV may compensate
GRBs, supernovae, and other explosions may also produce prompt pulses of coherent emission during the initial explosion (Colgate & Noerdlinger 1971; Nakar & Piran 2011). The theorized prompt signals are produced by coherent emission near the explosive shock. Proposed mechanisms include current oscillations (Usov & Katz 2000), synchrotron maser activity behind the shock (Sagiv & Waxman 2002), or collective plasma modes as seen in solar bursts (Moortgat & Kuijpers 2005). Models by Hansen & Lyutikov (2001) and Benz & Paesold (1998) also predict detectable emission, depending on the plasma environment and dynamics of the GRB. Some of these signals will be accompanied by bursts of radiation at other wavelengths, while some may offer the potential for multi-messenger astronomy by correlating radio and gravitational-wave signals (Nakar & Piran 2011; Palenzuela et al. 2010).
Detection of such prompt emission from GRBs offers a number of unique insights into the properties of the bursts, the intergalactic medium, and cosmology (Morales et al. 2005). First, the details of the emission that we see depend heavily on the specific model for the shock structure, as discussed above. Second, we can use the emission as a probe of the media through which it propagates: we will see delays and dispersion from the local plasma, the host galaxy’s ISM, the intergalactic medium (details of which can depend on cosmic reionisation), and the Milky Way’s ISM (Inoue 2004).
Past searches for prompt radio emission from GRBs (Dessenne et al. 1996; Benz & Paesold 1998; Balsano 1999) were all unsuccessful. Other projects attempted to perform blind surveys for radio transients (Amy et al. 1989; Baird et al. 1976; Katz et al. 2003). All of these attempts have suffered from constraints inherent in narrowband receivers and simple transient identification systems. More modern projects like GASE and ETA (Morales et al. 2005; Patterson et al. 2008) were designed to correct many of these problems, with digital baseband recording and interference rejection through de-dispersion, but the collecting areas are still very small.
4.2.3 New Opportunities
Above we discussed two classes of sources that are expected to emit low-frequency radio transients, and where detection of such transients would enable us to make significant advances in our understanding of such objects, but where we do not know the source properties enough to consider them “guaranteed” science. Beyond even those classes are additional objects that may be found with blind searches (e.g., neutron star binary inspiral events that may produce radio precursors; Hansen & Lyutikov 2001).
To date, systematic transient searches with radio telescopes have yielded some results, but they have largely been difficult to interpret (e.g., Matsumura et al. 2007, 2009), due to poor statistics, limited localization, and a long time before follow-up. However, there have been successes that, while enigmatic, hint at the potential offered by the MWA. We do not give a full review here, but point to particular detections that hold promise for the MWA.
While searching for transient events at the Galactic Centre (GC), Hyman et al. (2002) found two sources, one of which is an X-ray binary, but the other remains unclassified, although it varies on long timescales (months). Later searches (Hyman et al. 2005, also see Hyman et al. 2009) found a much more rapidly variable source, with flares on timescales of minutes that repeated (sometimes) every 77min (GCRT J1745 in Fig. 8). The positional coincidence with the GC, along with the greatly increasing source density near the Centre, suggests it is at a distance of about 8 kpc, but this could be a selection effect because all the fields searched for transients in the program were in that direction. Bower et al. (2005) found another transient near the GC, but they deduced that it was an X-ray binary with a jet outburst interacting with the dense medium in that region.
For searches of high-latitude fields, Bower et al. (2007) followed by Frail et al. (2012) searched archival VLA data at cm wavelengths and identified at least one very faint (sub-mJy) transient source. Jaeger et al. (2012) did repeated observations at a frequency of 325 MHz (closer to the MWA band) and did identify one significant transient of unknown origin, although they consider several possibilities including a distant flare star. Only recently have surveys moved beyond examinations of archival data (e.g., Bannister et al. 2011), with a wide range of flux limits and timescales, to systematic examinations of the variable sky (e.g., Lenc et al. 2008; Croft et al. 2011). It is becoming clear that radio transients, are rare but promissing targets that will lead to advances in a number of areas of astrophysics.
4.3 Planned Searches
We will conduct a continuous search for transient radio emission in each image produced by the MWA’s real-time system, looking for changes from the previously observed sky on timescales ranging from 8 s to months (eventually using the high-quality integrated data from the sky surveys). This search will be more than six orders of magnitude more sensitive than previous transient surveys in the band and will cover a much broader range of frequencies, transient durations, and dispersion delays.
Eventually the full transient capabilities of the MWA will: 1) cover 0.25 steradian instantaneously,—approximately 3% of the visible sky—with full polarization coverage; 2) search blindly over that area orders of magnitude deeper than previous work; 3) simultaneously record light curves and spectra for hundreds of sources and conduct routine observation of tens of thousands of sources per week; 4) obtain typical exposures of days/source, with hundreds–to–thousands of hours for sources in selected areas (Galactic plane, EOR fields) over one year; and 5) record full electric field time-series for a subset of observations.
New sources detected by the MWA will have relatively poor (approximately arcminute) localization. This will hinder interpretation as many possible counterparts will be present at other wavelengths (e.g., Kaplan et al. 2008). Prompt multi-wavelength follow-up with wide-field imaging instruments will be crucial to help mitigate this, as detection of contemporaneous variability at other wavelengths will significantly improve the localization of sources and will pave the way for more detailed follow-up observations such as spectroscopy.
Source confusion will limit the sensitivity of the MWA for source detection. However, time variability is a classic way to help beat the confusion limit (i.e., searches for pulsars with single-dish telescopes). Subtracting images of the sky taken over successive time periods will help beat down the confusion noise and allow transients to emerge, especially when correlated with observations at other wavelengths. Finally, examination of polarised images that have much lower background source levels will allow searches for bright and highly polarized transients like GCRT J17453009 (Hyman et al. 2005).
With approximately 2000 now known (Fig. 9), pulsars offer opportunities to study a range of astrophysical phenomena, from the microscopic to the Galactic. The MWA’s wide coverage in frequency and large collecting area, makes it a unique instrument for low frequency detection and detailed studies of pulsars and fast transients. The areas of pulsar science that the MWA would probe at low-frequencies include pulsar phenomenology and pulsar searches, in general, and single-pulse and giant pulse studies, in particular. This is highlighted by the successful detection of giant pulses from the Crab Nebula pulsar at 200 MHz with only three prototype MWA antenna tiles (Bhat et al. 2007).
The MWA will be able to observe at rates faster than the 0.5–8 s correlator integrations using a voltage capture system capable of recording, for several hours, correlator input data. This system will provide kHz Nyquist sampled channels of undetected voltages from each of the 128 antennas of the the MWA that will enable high time-resolution studies of several types of objects, including pulsars and fast transients over the deg tile beam.
It is at MWA frequencies that pulsar emission peaks (Maron et al. 2000; Kondratiev et al. 2012) and that interstellar propagation effects are easiest to study, but this wavelength range has been neglected for years because of difficulties in processing the data and the increasing prevalence of radio frequency interference (RFI). This has left the low-frequency pulsar population largely unconstrained. Since low frequencies select against distant objects (especially for fast pulsars) the MWA will provide important new constraints for the local, low-frequency population. As a baseline, in an 8 hour pointing at 200 MHz we should have a 8 sensitivity limit of 1.8 mJy for long-period pulsars. When corrected to 1400 MHz using a spectral index of (Maron et al. 2000), this would be 0.05 mJy, comparable to or better than ongoing surveys like the High Time Resolution Universe survey (Keith et al. 2010) or the Green Bank 350 MHz Driftscan Survey (Boyles et al. 2013; Lynch et al. 2013).
Studies of individual pulsars help address a number of areas of astrophysics, providing unique insight into the as-yet poorly understood pulsar emission mechanism and astrophysical plasmas (Melrose 2003). Assembling an average pulse profile from thousands of individual pulses can help investigate the emission further, probing the emission altitude, beam geometry, and inclination of the magnetic field from the spin axis (Jenet et al. 2001; Gupta & Gangadhara 2003; Kondratiev et al. 2012; Hassall et al. 2012). Statistics derived from average pulse profiles may be among the best probes of complicated phenomena like core-collapse supernova (e.g., Johnston et al. 2005). Longer timescale variations in the emission can directly constrain the density of the magnetospheric plasma (Kramer et al. 2006).
Single-pulse studies should be possible666The fractional magnitude of pulse-to-pulse variation in the conal profiles is expected to be close to unity. Therefore, although desirable, it is not crucial to have the ability to detect individual pulses from the sequences for assessing primary parameters of these fluctuations, since the detection of relatively stable fluctuation features/properties benefits from the total integration time in quite the same way as the average profile estimation does. for a sample of pulsars in excess of 100, with the full MWA system at frequencies MHz (Kondratiev & the LOFAR Pulsar Working Group 2012). In cases of bright pulsars, we aim to probe the polar emission regions at different heights in greater details to study single-pulse fluctuations simultaneously across a wide range of radio frequencies, believed to come from different heights from the star surface. Mapping of the emission patterns corresponding to different heights simultaneously will enable tomography of the pulsar emission cone (Maan et al. 2013; Asgekar & Deshpande 2001; Deshpande & Rankin 1999). The wide bandwidth of MWA can probe a large fraction of the emission cone, and at larger distances from the star than higher-frequency telescopes, revealing much needed clues about the mechanism of pulsar radio emission, which is still poorly understood even after 40 years of pulsar studies.
4.4.1 Rotating Radio Transients
While observations of pulsars with regular steady pulses reveal much about those sources, it is in sources where the pulsar emission becomes irregular that we can hope to gain disproportionate insight about the pulsar emission mechanism and the relation of pulsars to other more exotic classes of neutron stars. In particular, the rotating radio transients (RRATs; McLaughlin et al. 2006 and Figure 9) likely serve as links to other more extreme populations. The RRATS emit only sporadic dispersed radio bursts of between 2 and 30 ms in duration that are separated by 4 min to 3 hr, but nonetheless are identifiable as rotating neutron stars by their long-term spin-down. Initial estimates suggest that there could be as many RRATs as traditional pulsars (McLaughlin et al. 2006; Keane et al. 2010), but their properties do not appear the same, as they occupy different parts of the diagram (see Figure 9).
The study of RRATs and sources with and without radio emission may help link the canonical rotation-powered pulsars—neutron stars that emit primarily in the radio and that are powered by rotational energy—to other classes of neutron stars that are powered via other energy sources. In particular, the X-ray and -ray sources known as magnetars (Woods & Thompson 2006), which manifest observationally as the currently777http://www.physics.mcgill.ca/ pulsar/magnetar/main.html 11 confirmed anomalous X-ray pulsars (AXPs) and 9 soft gamma-ray repeaters (SGRs), are powered by decay of superstrong ( G) magnetic fields. In contrast, the soft X-ray sources known as isolated neutron stars (INS; Kaplan 2008) are powered by residual heat, but may be the decayed remnants of old magnetars (Kaplan & van Kerkwijk 2009). There is currently a great deal of interest in linking radio pulsars to these populations. At least two magnetars have been seen as transient radio pulsars (Camilo et al. 2006, 2007), while radio searches for the INS have so far been negative (Johnston 2003; Kaplan et al. 2003; Kondratiev et al. 2009). The populations may be linked via RRATs: the X-ray and timing characteristics of the RRATs offer tantalizing clues to their relation to both magnetars (Lyne et al. 2009) and the INS (Popov et al. 2006; McLaughlin et al. 2007), but as yet nothing firm has been established (Keane & Kramer 2008).
Identification of RRATs relies on detecting single, dispersed pulses rather than steady repeating pulses (as in Keane et al. 2011; Burke-Spolaor & Bailes 2010). They do appear as repeating transients and so many of the techniques required will be similar to those for other transients (Lorimer et al. 2007; Keane et al. 2012). We will also explore the bispectrum techniques of Law & Bower (2012), which enable computationally simple searches for dispersed pulses at the expense of signal-to-noise, although the small area of each antenna leads to a low signal-to-noise ratio on each baseline, making such searches (Law et al. 2012) significantly less sensitivity than traditional beamforming.
4.4.2 Interstellar Medium
Beyond the study of pulsars themselves, variations in individual pulses with time and frequency can be used to probe the properties of the ISM (Hassall et al. 2012) and the Galactic magnetic field (Noutsos et al. 2008), as well as the solar corona (Ord et al. 2007). Signals of short intrinsic duration do not survive passage through interplanetary, interstellar, or intergalactic plasma unscathed (Rickett 1990; Cordes et al. 1991; Taylor & Cordes 1993) and are distorted via dispersion (Cordes & Lazio 2002), scintillation (Rickett 1969), scattering (Bhat et al. 2004), and Faraday rotation.
Dispersion makes lower frequencies arrive later. Compared to a signal at infinite frequency, a signal of frequency arrives with a time delay . Dispersive delay can be both an advantage and a disadvantage. A radio counterpart to a transient event, such as a gamma-ray burst, observed with a high-energy satellite, would be delayed by several minutes to hours before it arrives in the MWA band. This delay is beneficial since it allows time to prepare for the event at low frequencies (e.g., Cordes & McLaughlin 2003; Macquart 2007). But the converse is also true. If the MWA provides the first detection of a transient signal, it may be too late for other facilities at higher frequencies to observe it.
Scattering is the result of multi-path propagation in ionized media. While it has other effects, such as spectral and angular broadening, we are primarily concerned with temporal broadening here. This leads to information on time scales shorter than the scattering time being lost, and this time scales as . Because of this steep scaling this tends to set a minimum useful timescale for low-frequency observations. The scattering timescale becomes comparable to the standard MWA correlator integration time of 0.5 seconds in the Galactic plane for objects beyond kpc (Cordes & Lazio 2002). Hence, the MWA will be most sensitive to scattering effects for sources within this distance.
5 Solar, Heliospheric, and Ionospheric Science
The MWA will make significant contributions to the fields of solar, heliospheric, and ionospheric science through a diverse set of novel radio measurements, as described here and in earlier papers (Bastian 2004; Cairns 2004; Oberoi & Kasper 2004; Salah et al. 2005; Oberoi & Benkevitch 2010). These measurements directly address space weather, defined as the study of the impact of the Sun on the Earth and its neighborhood. Space weather effects are mostly driven by solar flares and coronal mass ejections (CMEs) that produce electromagnetic radiation (from X-rays to radio wavelengths), energetic particles, shock waves, changes in magnetic fields, and fast-moving plasma outflows that couple to the magnetosphere, ionosphere, neutral atmosphere, and surface of the Earth. These responses can directly affect humanity’s environment, technology, and society (Scherer et al. 2005; Warmuth & Mann 2004). The MWA will be able to observe and track CMEs, shocks, and other plasma structures from points close to their inception through their journey to the Earth and beyond, and it will be able to characterise their impact on the terrestrial ionosphere, making it a powerful instrument for space weather studies.
5.1 Solar Science
Even the quiet radio Sun is a time-variable, spectrally and morphologically complex, extended source. Emission features are especially remarkable during periods of high solar activity. The active Sun produces both broadband () and narrowband () emissions at frequencies from below 1 MHz to approximately 30 GHz (e.g., Wild et al. 1963; Bastian et al. 1998; Cane et al. 2002; Karlický 2003; Cairns 2011). Variations in the emission can occur over time scales ranging from less than a millisecond to the eleven-year cycle of solar activity. The complexity of solar radio emission presents a challenging radio imaging problem, but the unprecedented instantaneous dynamic range, wide-bandwidth, high spectral resolution, and full-Stokes capability of the MWA will enable spectroscopic imaging of the dynamic Sun.
The physical sources of solar radio emission in the MWA band fall into three distinct catagories: 1) thermal emission produced by hot electrons in all layers of the solar atmosphere, but especially the solar corona (McLean & Labrum 1985); 2) gyro-synchrotron and synchrotron emission with broad power-law spectra in frequency, created by electrons accelerated in magnetic loops and by shocks driven by coronal mass ejections (Bastian et al. 2001); and 3) intense bursts of nearly-coherent narrow-band emissions that are produced as the so-called type I, II, III, IV, and V bursts (e.g., Wild et al. 1963; McLean & Labrum 1985; Cane et al. 2002; Cairns 2011). The presence of mulitple different emission mechanisms, along with propagation effects like refraction and scattering, endow radio observations with a rich and unique coronal diagnostics capability.
5.1.1 Electron Density and Temprature
Large gradients in electron density and temperature from the solar chromosphere to the coronal regions have the consequence that the optical depth to radio waves tends to be a sensitive function of the ray path, which itself is determined by the refraction due to the density gradients. The optical depth of ray paths at different frequencies is dominated by contributions from different coronal heights. Spectral imaging by the MWA, therefore, should make it possible to construct a three-dimensional distribution of electron density and temperature in the lower corona for the quiescent Sun.
5.1.2 Electron Acceleration and Radio Bursts
Solar radio bursts are one of the primary remote signatures of electron acceleration in the corona and inner heliosphere. A wealth of information about bursts has been amassed, primarily from studies of their emission in frequency-time dynamic spectra. Their imaging studies remain rare. The standard models for these bursts involve generation of radiation near the electron plasma frequency, , as well as near , where:
for electron number density, , in m. This mechanism involves generation of electrostatic Langmuir waves and their conversion into radio emission via various linear and nonlinear processes (Ginzburg & Zhelezniakov 1958; Melrose 1980; Robinson & Cairns 2000; Cairns 2011). At MWA frequencies, beams of energetic electrons typically move away from the Sun, hence emission frequency is expected to decrease with time since the coronal electron density decreases with radius.
We will focus on type II and III bursts with the MWA. Type II bursts are associated with suprathermal electrons accelerated at magnetohydrodynamic shocks to speeds of – km s, whereas type IIIs are due to bursts of electrons moving at speeds of order one third of the speed of light, produced in magnetic reconnection sites during solar flares (Wild et al. 1963; Melrose 1980; Nelson & Melrose 1985; Bastian et al. 1998; Robinson & Cairns 2000; Cairns 2011).
Several major unresolved questions exist. The first is whether type II bursts are associated with a blast wave (i.e., a freely propagating shock) or the bow wave found upstream of a CME that is expanding into the heliosphere (Cane & Erickson 2005; Vršnak & Cliver 2008; Cairns 2011). The second problem is that estimates of density profiles that are derived by applying the plasma frequency relation to time-dependent spectra (Cairns et al. 2009; Lobzin et al. 2010), have tended to be much shallower than expected, as shown in Figure 10. The density profile is coupled to the formation mechanism of the corona, hence discrepancy with models casts doubt on the source of energetic electrons. Lastly, unresolved theoretical issues exist due to the relatively small levels of circular polarization observed in type II and III bursts, despite existing theories predicting essentially 100% circular polarization in the sense of the o mode (lefthand) (Nelson & Melrose 1985; Suzuki & Dulk 1985; Cairns 2011).
The rapid spectroscopic imaging capability of MWA will address these issues by localizing burst emission. An initial example of this capability is shown in Figure 11, in which the MWA development system imaged a solar burst at 15 arcminute angular resolution (Oberoi et al. 2011). The 2 arcminute angular resolution of the full MWA will be nearly an order of magnitude better. This will help to determine the shock mechanism by providing radio positions to compare with CME observations (e.g. from STEREO), and it will improve density profile estimates by eliminating the need to infer burst location based on plasma frequency. In combination with the recent detailed models for the source regions and dynamics spectra of type II burst emission, as reviewed by Cairns (2011), the MWA images and dynamic spectra should help to determine definitively the relationship between type II bursts, CMEs, and shocks and to provide strong tests of our understanding of the propagation of events between the source and Earth.
5.1.3 Direct Imaging of Emission from CME Plasma
Though CMEs are routinely imaged in visible light using coronagraphs, and CME-driven shocks produce broadband radio emissions over several hundred MHz to as narrow as 20 kHz, the CME plasma itself has been difficult to observe directly. Meter and decimeter frequencies are regarded as the most suitable in which to try to image the synchrotron, gyrosynchrotron, and/or thermal bremsstrahlung emission from the CME plasma (Bastian & Gary 1997). Such measurements offer very useful and unique diagnostic capabilities, including the ability to constrain the CME magnetic field remotely. To date, however, only a few events have been confidently interpreted this way (e.g. Bastian et al. 2001; Maia et al. 2000). Observing these events is particularly challenging for existing instruments due to the large contrasts between the inherent brightness of the non-thermal emission from the CME plasma (weak) and solar disc (strong), and other phenomenon which are often simultaneously present (e.g. noise storms), and the large angular scales of this relatively weak emission. With its significantly higher dynamic range imaging ability and higher sensitivity to extended emission scales, owing to its numerous short baselines, the MWA should be the most suitable instrument yet for direct imaging of emissions from the CME plasma.
5.2 Heliospheric Science
With an increasing reliance on the robust functioning of satellites, humankind is now more affected by space weather than ever before. Reliable predictions of space weather are needed to protect our technological assets in orbit as well as humans in space. The largest of the space weather events are caused by CMEs, and the geo-effectiveness of CMEs is closely tied to the presence of a southward directed magnetic field in the CME or behind the CME-driven shock. Currently the only operational means of obtaining this information is from the in-situ observations by the near-Earth satellites. This approach suffers from two significant disadvantages: 1) These measurements provide a lead time of only a few hours, consequently the advance warning comes so close to the event itself that it leaves little opportunity to take any remedial measures. 2) At these crucial times, interactions between the CME’s magnetic field and plasma significantly alter the coupling between Earth’s ionosphere and magnetosphere and the solar wind, leading to major changes in energetic particle flux, plasma density, plasma motion, magnetic and electric fields, and ionospheric activity. Degradation in satellite hardware and communication performance then occur, as well as many other space weather effects.
5.2.1 Faraday Rotation
Observation of Faraday rotation of background polarized radio sources is the only known remote sensing technique sensitive to the orientation and magnitude of the interplanetary magnetic field. Changes in FR associated with the passage of the solar corona or CMEs through the line of sight to spacecraft were convincingly detected using the telemetry signal from the Pioneer 6 and Helios satellites (Stelzried et al. 1970; Bird 1982; Bird et al. 1985). More recently, coronal FR has been detected using VLA observations of radio galaxies as the Sun passes in front of them (Mancuso & Spangler 2000; Spangler & Whiting 2009). The ability to routinely monitor and track CME magnetic fields would revolutionize the field of space weather.
Faraday rotation measurements have been applied to many interesting studies of the nature of the solar corona and the solar wind, including to determine the mean magnetic field in the corona (Patzold et al. 1987), to measure the power spectrum of coronal waves and turbulence as a function of distance (Efimov et al. 1996), to suggest the existence of intermittent waves at single locations (Chashei et al. 1999), to support theoretical models of wave dissipation as a coronal heating mechanism (Hollweg et al. 1982), and to study the structure of the heliospheric current sheet (Mancuso & Spangler 2000).
Studies so far have been severely limited by the paucity of suitable linearly polarized sources and the narrow fields of view of existing instrumentation (Spangler & Whiting 2009). Observations using the WSRT at 340–370 MHz have lead to detection of polarized extra-galactic sources exhibiting typical polarized intensities of 20 mJy and readily measurable RMs (Wieringa et al. 1993; Haverkorn et al. 2003a, c, d). In the few areas of the sky investigated in detail, these efforts reveal about one suitable polarized source every 4 square degrees, as well as patches of diffuse polarized emission (Bernardi et al. 2013), suggesting that there will be sufficiently numerous background sources to chart CMEs.
The combination of the sensitivity of the MWA, its low frequency of operation, and its wide field of view, along with the availability of a large number of polarized sources with sufficient flux density, present the possibility of being able to measure the coronal and heliospheric FR simultaneously to several different lines of sight and out to much larger distances from the Sun ( 50 solar radii) than previously accessible. No measurements of FR due to CME plasma are available yet at large solar offsets, hence we rely on simulations to build quantiative expectations. Jensen et al. (2010) estimate the RM from CMEs to be 0.05 rad m (12 at 150 MHz) at about 0.4 AU. Liu et al. (2007) also arrive at a similar estimate and also show that the FR time series from instruments like the MWA during the CME passage may be used to infer the helicity and size of the CME.
For multiple reasons, these are rather challenging measurements to make (Oberoi & Lonsdale 2013). Ionospheric RM, is 1–10 rad m, more than an order of magnitude larger than the expected heliospheric or CME RM signature. This implies that we will need to achieve ionospheric RM calibration accuracies of a few percent over large fields of view in order to study heliospheric RM. The quiet solar flux density is 10–10 Jy, hence detecting 20 mJy sources requires polarimetric imaging dynamic range of about 10, in the vicinity of a strong and variable Sun.
5.2.2 Interplanetary Scintillation
As radio waves from a distant compact radio source propagate through the turbulent and inhomogeneous solar wind plasma, the incident plane wavefronts pick up phase corrugations corresponding to density inhomogeneities. These phase corrugations develop into intensity fluctuations by the time the wavefronts arrive at Earth-based telescope. Due to the motion of the solar wind, the interference pattern produced by these intensity fluctuations is swept past the telescope giving rise to observed scintillations.
The evolution and dynamics of solar wind in the inner heliosphere dominates space weather effects. However, there are few techniques available to study the solar wind in this vast region. Historically, interplanetary scintillation (IPS) was the first remote sensing technique used to investigate the solar wind in this region (Hewish et al. 1964). More recently, routine availability of observations from heliospheric imagers (e.g., STEREO) that image very large parts of the heliosphere using white light scattered from from the solar wind electrons, have emerged as very useful tools for investigations in the inner heliosphere. These techniques, along with local in-situ sampling provided by most satellite based instrumentation, complement each other well since they cover different spatial scales and have lead to a more complete characterisation of the solar wind than would have been possible with either of the datasets (e.g. Jackson et al. 2007; Dorrian et al. 2008).
Several new instruments are coming online to study IPS. Apart from the MWA, the new facilities include the LOFAR (Bisi et al. 2011; Fallows et al. 2012) and Mexico Array Telescope (Mejia-Ambriz et al. 2010). In addition, the Ooty Radio Telescope in India (Manoharan, P. K., private communication) and Solar Wind Imaging Facility (SWIFT) in Japan (Tokumaru et al. 2011) are both undegoing considerable upgrades which will substantially improve their scientific capabilities.
For the MWA, the primary IPS observable will be the power spectrum of observed intensity fluctuations, although we a will also employ a less commonly used observable, the normalized co-spectrum obtained from simultaneous observations at frequencies differing by a factor of 2 (Scott et al. 1983; Zhang 2007). Under the assumption of weak scattering, the interplanetary medium can be regarded as a collection of thin screens placed along the line-of-sight, and the IPS observable can be modeled as a weighted sum of the contributions from each of the thin screens. The physical parmeters to which IPS is sensitive are: 1) the velocity of the solar wind; 2) the level of electron density fluctuations, , 3) the spectral index of the power spectrum, 4) the inner scale for the power law governing ; and 5) the axial ratio of .
Using an inversion process, it is possible to extract the global 3D distribution of IPM parameters (Jackson et al. 1998; Kojima et al. 1998; Asai et al. 1998; Oberoi 2000; Bisi et al. 2008, 2010; Dorrian et al. 2010; Xiong et al. 2011). The most important bottleneck currently constraining the fidelity and resolution of inversion of IPS data, and hence its science output, are the sparseness (both in space and time) and the non-uniformity of the sampling of the heliosphere afforded by the present generation instrumentation (Oberoi & Benkevitch 2010). The MWA will represent a significant advance in addressing the bottleneck of limited heliospheric sampling when its voltage capture system is completed. The MWA will have a sensitivity of 70 mJy (1 second, 30.72 MHz), comparable to that of the SWIFT transit facility currently under commissioning in Japan. The MWA will boost the number of independent IPS measurements by up to a factor of 30 over what is possible with most present day systems. The southern hemisphere location of the MWA also complements the heliospheric coverage provided by the existing facilities, all of which happen to be in the northern hemisphere. Combining these data with other MWA observations like solar imaging and FR observations, and the observations from other sources like STEREO, SDO and HINODE, will provide a very comprehensive dataset for charaterizing the inner heliosphere, monitoring and tracking CME evolution from close to the Sun to our terrestrial neighborhood. Further, the software framework being developed for handling the MWA IPS data could provide a common data repository, interface, and analysis tools for IPS data from observatories across the world (Oberoi & Benkevitch 2010).
5.3 Ionospheric Science
Propagation through the dynamic and structured magnetoionic ionospheric plasma leaves an imprint on the incident low radio frequency radiation from astronomical sources. In order to arrive at the true properties of the incident radiation, the ionospheric distortion must be identified and removed. The MWA can tackle this long standing challenge by measuring the refractive shift in the apparent position of dozens of bright and relatively compact sources at a cadence of 8 seconds. The ionospheric calibration information thus comprises of a time series of vectors showing the refractive shift of calibrator sources from their fiducial positions. To first order, the magnitude of the shift is directly proportional to the ionospheric gradient in the total electron content (TEC) towards the fiducial sky position of the calibrator source. This information for all the observed calibrator sources leads to a series of differential TEC maps and an accuracy of 0.01 TECU (1 TECU electrons m). These maps, produced routinely as a part of the MWA calibration will form the primary data products for ionospheric science. The MWA beam will sample a region about km km at a height of km and the expected calibrator source density corresponds to spatial scales of km at this ionospheric height.
The high-precision and dense sampling of the ionosphere provided by the MWA offers new opportunities for ionospheric science. The three areas of ionospheric research that the MWA will make significant contributions are in: 1) the measuring of waves in TEC associated with travelling ionospheric disturbances (TIDs); 2) the development of storm enhanced density (SED) and sharp TEC gradients associated with space weather events; and 3) the tracking of the onset and evolution of scintillation associated with the development of ionospheric irregularities.
5.3.1 Traveling Ionospheric Disturbances
TIDs are manifestations of middle-scale ionospheric irregularities arising as response to acoustic gravity waves. TIDs are frequently observed at high and middle latitudes (Bristow et al. 1996; Nicolls & Heinselman 2007; Oliver et al. 1994, 1997; Djuth et al. 2004), and their activity and amplitudes vary depending on latitude, longitude, local time, season, and solar cycle (e.g. Kotake et al. 2006; Hernández-Pajares et al. 2006). They can be generated by auroral sources at the high latitude thermosphere, the passage of the solar terminator (Galushko et al. 2003), and storms, hurricanes and tornados in the troposphere. Detailed information about the sources, energetics, and scale sizes of energy coupling from the lower atmosphere to the upper atmosphere, along with resulting ionospheric effects, is critical to developing a deep understanding of overall upper atmospheric energy balance. Measurements of TIDs at the VLA have been made since the early 1990s (Jacobson & Erickson 1993; Jacobson et al. 1995) and recent observations have been reported by Helmboldt et al. (2012, 2012). The fine grid over which the MWA calibration solutions will provide differential TEC measurements will provide detailed measurements of the propagation of TIDs over the array and TEC gradients or irregularities.
5.3.2 Storm Enhanced Density
The MWA is well-sited to contribute to coordinate international investigations of the SED phenomenon (Foster 1993). This process is responsible for some of the largest space weather effects at mid-latitudes (Coster & Foster 2007) since it produces severe, temporally dependent electron density gradients. These gradients will be obvious in the differential TEC measurements made by the MWA. The geographic/geomagnetic pole offset in the southern hemisphere is anticipated to influence the development of SED near the MWA (Coster et al. 2007; Foster & Coster 2007; Foster & Erickson 2013). SED associated gradients have a practical consequence, as they cause large errors in GPS range measurements, and significantly degrade the high precision positioning information provided by GPS systems. The MWA’s longitude (E) is very close to the longitude being extensively instrumented in the Asian sector as part of the Chinese Meridian project (), and the conjugate longitude of W is within the field of view of the US sponsored chain of incoherent scatter radars, in particular Millstone Hill. The combination of simultaneous measurements from these distributed sensors thus provides a unique way to determine mesoscale response to geomagnetic disturbances in the coupled geospace system. In particular, it will be possible to investigate whether there is a seasonal and universal time dependence of geomagnetic storm response by comparing American and Asian/Australian sector response to solar wind and CME forcing. Such effects have been predicted theoretically (Foster & Erickson 2013) but have not yet been confirmed by observations.
5.3.3 Ionospheric Scintillation
Ionospheric scintillation can be defined as the rapid fluctuation of radio-frequency signal phase and/or amplitude, generated as a signal passes through the ionosphere. MWA observations using voltage capture capabilities will be uniquely suited for the exploration of ionospheric irregularities and scintillation. A voltage capture system that can record raw antenna voltages from the full array for 24 hours will be added to the MWA by the end of 2013. This system should provide the ability to create array-beams in post-processing that use the entire bandwidth and collecting area of the MWA, and that can be pointed independently anywhere within the MWA field-of-view. Such a system will provide scintillation measurements at multiple positions across the visible ionospheric region.
MWA array-beam observations will be augmented by data from specially designed GPS receivers at and near the MWA site that can measure L-band scintillation statistics. GPS TEC data from these receivers, when combined with data from a large number of newly deployed GPS receivers on the Australian continent, will provide important contextual information about the regional distribution of TEC around the MWA site. Other satellite based remote sensing platforms, including COSMIC, DMSP, and JASON, will also be available during overflights to provide further information about background ionospheric plasma and electrodynamic conditions in the ionosphere. A similar approach has been followed previously in the Combined Radio Interferometry and COSMIC Experiment in Tomography (CRICKET) campaign utilizing the VLA (Dymond et al. 2008; Coker et al. 2009). This mix of data types allows for ionospheric specification from the global scale down to the regional scale.
The MWA is a unique low-frequency instrument with high survey efficiency and arcminute angular resolution. It will provide deep integrations on EoR target regions that could enable the first detection of the redshifted 21 cm signal and detailed characterisation of diffuse Galactic emisison and faint extragalactic source populations. The planned full-Stokes southern hemisphere sky survey will include the Galactic Centre, Galactic plane, and the Large and Small Magellanic Clouds, making the MWA particurly well-suited to identifying the missing population of SNRs, and thereby constraining the total energy budget of the Galaxy.
Long integrations in the EoR fields and regular obserations along the Galactic plane will enable sensitive searches for pulsars and transient events on timescales from seconds to days. Blind surveys for both rare and faint events are planned, as well as targeted obsrevations of known transient sources, including X-ray binaries, neutron stars, pulsars, and low-mass stellar objects.
The MWA will open new windows into space weather and solar physics and provide new measurements of solar bursts throughout their journey from the surface of the Sun to the Earth and on to the outer Solar System. High-dynamic range spectroscopic imaging will show the origin of bursts in the solar corona, while monitoring of interplanetary scintillation will probe the interstellar wind. As events reach the Earth, the MWA’s calibration system will yield detailed measurements of ionospheric disturbances traveling over the telescope.
The telescope is complementary to other new low-frequency radio telescopes, falling between LOFAR and PAPER in both sensitivity and angular resolution. It is the only low-frequency SKA precursor and is located on the very radio-quiet site planned for the SKA low-band telescope. The combination of ASKAP and MWA at the MRO will yield a comprehensive program of precursor science for the SKA over the comining years. The MWA posseses a versatile design with excess infrastructure capability that will allow the telescope and its users to embrace new scientific and technological opportunities over the coming decade, hopefully providing an enduring and fruitful future for the instrument.
This scientific work makes use of the Murchison Radio-astronomy Observatory. We acknowledge the Wajarri Yamatji people as the traditional owners of the Observatory site. Support for the MWA comes from the U.S. National Science Foundation (grants AST-0457585, PHY-0835713, CAREER-0847753, and AST-0908884), the Australian Research Council (LIEF grants LE0775621 and LE0882938), the U.S. Air Force Office of Scientic Research (grant FA9550-0510247), and the Centre for All-sky Astrophysics (an Australian Research Council Centre of Excellence funded by grant CE110001020). Support is also provided by the Smithsonian Astrophysical Observatory, the MIT School of Science, the Raman Research Institute, the Australian National University, and the Victoria University of Wellington (via grant MED-E1799 from the New Zealand Ministry of Economic Development and an IBM Shared University Research Grant). The Australian Federal government provides additional support via the National Collaborative Research Infrastructure Strategy, Education Investment Fund, and the Australia India Strategic Research Fund, and Astronomy Australia Limited, under contract to Curtin University. We acknowledge the iVEC Petabyte Data Store, the Initiative in Innovative Computing and the CUDA Center for Excellence sponsored by NVIDIA at Harvard University, and the International Centre for Radio Astronomy Research (ICRAR), a Joint Venture of Curtin University and The University of Western Australia, funded by the Western Australian State government.
- Alves et al. (2012) Alves, M. I. R., Davies, R. D., Dickinson, C., Calabretta, M., Davis, R., & Staveley-Smith, L. 2012, MNRAS, 422, 2429
- Amy et al. (1989) Amy, S. W., Large, M. I., & Vaughan, A. E. 1989, Proceedings of the Astronomical Society of Australia, 8, 172
- Antonova et al. (2007) Antonova, A., Doyle, J. G., Hallinan, G., Golden, A., & Koen, C. 2007, A&A, 472, 257
- Araya-Melo et al. (2012) Araya-Melo, P. A., Aragón-Calvo, M. A., Brüggen, M., & Hoeft, M. 2012, MNRAS, 423, 2325
- Asai et al. (1998) Asai, K., Kojima, M., Tokumaru, M., Yokobe, A., Jackson, B. V., Hick, P. L., & Manoharan, P. K. 1998, Journal of Geophysical Research, 103, 1991
- Asgekar & Deshpande (2001) Asgekar, A., & Deshpande, A. A. 2001, MNRAS, 326, 1249
- Audard et al. (2007) Audard, M., Osten, R. A., Brown, A., Briggs, K. R., Güdel, M., Hodges-Kluck, E., & Gizis, J. E. 2007, A&A, 471, L63
- Baird et al. (1976) Baird, G. A., Meikle, W. P. S., Jelley, J. V., Palumbo, G. G. C., & Partridge, R. B. 1976, Ap&SS, 42, 69
- Balsano (1999) Balsano, R. J. 1999, Ph.D. thesis, Princeton University
- Banfield et al. (2011) Banfield, J. K., George, S. J., Taylor, A. R., Stil, J. M., Kothes, R., & Scott, D. 2011, ApJ, 733, 69
- Bania et al. (2010) Bania, T. M., Anderson, L. D., Balser, D. S., & Rood, R. T. 2010, ApJ, 718, L106
- Bannister et al. (2011) Bannister, K. W., Murphy, T., Gaensler, B. M., Hunstead, R. W., & Chatterjee, S. 2011, MNRAS, 412, 634
- Barkana & Loeb (2005) Barkana, R., & Loeb, A. 2005, ApJ, 624, L65
- Barkana & Loeb (2008) Barkana, R., & Loeb, A. 2008, MNRAS, 384, 1069
- Bastian (2004) Bastian, T. S. 2004, Planetary and Space Science, 52, 1381
- Bastian et al. (1998) Bastian, T. S., Benz, A. O., & Gary, D. E. 1998, ARA&A, 36, 131
- Bastian et al. (2000) Bastian, T. S., Dulk, G. A., & Leblanc, Y. 2000, ApJ, 545, 1058
- Bastian & Gary (1997) Bastian, T. S., & Gary, D. E. 1997, Journal of Geophysical Research, 102, 14031
- Bastian et al. (2001) Bastian, T. S., Pick, M., Kerdraon, A., Maia, D., & Vourlidas, A. 2001, ApJ, 558, L65
- Beardsley et al. (2013) Beardsley, A. P., et al. 2013, MNRAS, 429, L5
- Beck & Gaensler (2004) Beck, R., & Gaensler, B. M. 2004, New Astronomy Reviews, 48, 1289
- Becker et al. (2007) Becker, G. D., Rauch, M., & Sargent, W. L. W. 2007, ApJ, 662, 72
- Belikov & Hooper (2009) Belikov, A. V., & Hooper, D. 2009, Phys. Rev. D, 80, 035007
- Benz & Paesold (1998) Benz, A. O., & Paesold, G. 1998, A&A, 329, 61
- Berger (2006) Berger, E. 2006, ApJ, 648, 629
- Berger et al. (2001) Berger, E., et al. 2001, Nature, 410, 338
- Bernardi et al. (2009) Bernardi, G., et al. 2009, A&A, 500, 965
- Bernardi et al. (2013) Bernardi, G., et al. 2013, ApJ, submitted
- Bernardi et al. (2011) Bernardi, G., Mitchell, D. A., Ord, S. M., Greenhill, L. J., Pindor, B., Wayth, R. B., & Wyithe, J. S. B. 2011, MNRAS, 413, 411
- Bhat et al. (2004) Bhat, N. D. R., Cordes, J. M., Camilo, F., Nice, D. J., & Lorimer, D. R. 2004, ApJ, 605, 759
- Bhat et al. (2007) Bhat, N. D. R., et al. 2007, ApJ, 665, 618
- Bird (1982) Bird, M. K. 1982, Space Science Reviews, 33, 99
- Bird et al. (1985) Bird, M. K., et al. 1985, Solar Physics, 98, 341
- Bisi et al. (2011) Bisi, M. M., Fallows, R. A., Jensen, E. A., Breen, A., Xiong, M., & Jackson, B. V. 2011, AGU Fall Meeting Abstracts, C2020
- Bisi et al. (2010) Bisi, M. M., Jackson, B. V., Breen, A. R., Dorrian, G. D., Fallows, R. A., Clover, J. M., & Hick, P. P. 2010, Solar Physics, 265, 233
- Bisi et al. (2008) Bisi, M. M., Jackson, B. V., Hick, P. P., Buffington, A., Odstrcil, D., & Clover, J. M. 2008, Journal of Geophysical Research (Space Physics), 113, 0
- Blasi & Colafrancesco (1999) Blasi, P., & Colafrancesco, S. 1999, Astroparticle Physics, 12, 169
- Bower et al. (2005) Bower, G. C., Roberts, D. A., Yusef-Zadeh, F., Backer, D. C., Cotton, W. D., Goss, W. M., Lang, C. C., & Lithwick, Y. 2005, ApJ, 633, 218
- Bower et al. (2007) Bower, G. C., Saul, D., Bloom, J. S., Bolatto, A., Filippenko, A. V., Foley, R. J., & Perley, D. 2007, ApJ, 666, 346
- Bowman et al. (2006) Bowman, J. D., Morales, M. F., & Hewitt, J. N. 2006, ApJ, 638, 20
- Bowman et al. (2009) Bowman, J. D., Morales, M. F., & Hewitt, J. N. 2009, ApJ, 695, 183
- Boyles et al. (2013) Boyles, J., et al. 2013, ApJ, 763, 80
- Brentjens & de Bruyn (2005) Brentjens, M. A., & de Bruyn, A. G. 2005, A&A, 441, 1217
- Bristow et al. (1996) Bristow, W. A., Greenwald, R. A., & Villain, J. P. 1996, Journal of Geophysical Research, 101, 15685
- Brogan et al. (2006) Brogan, C. L., Gelfand, J. D., Gaensler, B. M., Kassim, N. E., & Lazio, T. J. W. 2006, ApJ, 639, L25
- Brown et al. (2010) Brown, S., Farnsworth, D., & Rudnick, L. 2010, MNRAS, 402, 2
- Brown (2011) Brown, S. D. 2011, Journal of Astrophysics and Astronomy, 32, 577
- Brunetti et al. (2001) Brunetti, G., Setti, G., Feretti, L., & Giovannini, G. 2001, MNRAS, 320, 365
- Burgasser & Putman (2005) Burgasser, A. J., & Putman, M. E. 2005, ApJ, 626, 486
- Burke-Spolaor & Bailes (2010) Burke-Spolaor, S., & Bailes, M. 2010, MNRAS, 402, 855
- Burkhart et al. (2012) Burkhart, B., Lazarian, A., & Gaensler, B. M. 2012, ApJ, 749, 145
- Cairns (2004) Cairns, I. H. 2004, Planetary and Space Science, 52, 1423
- Cairns (2011) Cairns, I. H. 2011, Coherent Radio Emissions Associated with Star System Shocks, ed. M. P. Miralles & J. Sánchez Almeida 267
- Cairns et al. (2009) Cairns, I. H., Lobzin, V. V., Warmuth, A., Li, B., Robinson, P. A., & Mann, G. 2009, ApJ, 706, L265
- Cameron et al. (2005) Cameron, P. B., et al. 2005, Nature, 434, 1112
- Camilo et al. (2007) Camilo, F., Ransom, S. M., Halpern, J. P., & Reynolds, J. 2007, ApJ, 666, L93
- Camilo et al. (2006) Camilo, F., Ransom, S. M., Halpern, J. P., Reynolds, J., Helfand, D. J., Zimmerman, N., & Sarkissian, J. 2006, Nature, 442, 892
- Cane & Erickson (2005) Cane, H. V., & Erickson, W. C. 2005, ApJ, 623, 1180
- Cane et al. (2002) Cane, H. V., Erickson, W. C., & Prestage, N. P. 2002, Journal of Geophysical Research (Space Physics), 107, 1315
- Cassano et al. (2012) Cassano, R., Brunetti, G., Norris, R. P., Röttgering, H. J. A., Johnston-Hollitt, M., & Trasatti, M. 2012, A&A, 548, A100
- Cassano et al. (2010) Cassano, R., Brunetti, G., Röttgering, H. J. A., & Brüggen, M. 2010, A&A, 509, A68
- Cen & Ostriker (1999) Cen, R., & Ostriker, J. P. 1999, ApJ, 514, 1
- Chakraborti et al. (2011) Chakraborti, S., Ray, A., Soderberg, A. M., Loeb, A., & Chandra, P. 2011, Nature Communications, 2
- Charbonneau et al. (2002) Charbonneau, D., Brown, T. M., Noyes, R. W., & Gilliland, R. L. 2002, ApJ, 568, 377
- Chashei et al. (1999) Chashei, I. V., Bird, M. K., Efimov, A. I., Andreev, V. E., & Samoznaev, L. N. 1999, Solar Physics, 189, 399
- Chen & Miralda-Escudé (2004) Chen, X., & Miralda-Escudé, J. 2004, ApJ, 602, 1
- Coker et al. (2009) Coker, C., Thonnard, S. E., Dymond, K. F., Lazio, T. J. W., Makela, J. J., & Loughmiller, P. J. 2009, Radio Science, 44, 0
- Colgate & Noerdlinger (1971) Colgate, S. A., & Noerdlinger, P. D. 1971, ApJ, 165, 509
- Condon (1974) Condon, J. J. 1974, ApJ, 188, 279
- Condon et al. (1998) Condon, J. J., Cotton, W. D., Greisen, E. W., Yin, Q. F., Perley, R. A., Taylor, G. B., & Broderick, J. J. 1998, AJ, 115, 1693
- Corbel et al. (2005) Corbel, S., Kaaret, P., Fender, R. P., Tzioumis, A. K., Tomsick, J. A., & Orosz, J. A. 2005, ApJ, 632, 504
- Cordes & Lazio (2002) Cordes, J. M., & Lazio, T. J. W. 2002, astro-ph/0207156
- Cordes et al. (2004) Cordes, J. M., Lazio, T. J. W., & McLaughlin, M. A. 2004, New Astronomy Review, 48, 1459
- Cordes & McLaughlin (2003) Cordes, J. M., & McLaughlin, M. A. 2003, ApJ, 596, 1142
- Cordes et al. (1991) Cordes, J. M., Weisberg, J. M., Frail, D. A., Spangler, S. R., & Ryan, M. 1991, Nature, 354, 121
- Coster et al. (2007) Coster, A. J., Colerico, M. J., Foster, J. C., Rideout, W., & Rich, F. 2007, Geophysical Research Letters, 34, L18105
- Coster & Foster (2007) Coster, A. J., & Foster, J. C. 2007, The Radio Science Bulletin, 321
- Croft et al. (2011) Croft, S., Bower, G. C., Keating, G., Law, C., Whysong, D., Williams, P. K. G., & Wright, M. 2011, ApJ, 731, 34
- Datta et al. (2010) Datta, A., Bowman, J. D., & Carilli, C. L. 2010, ApJ, 724, 526
- Datta et al. (2008) Datta, K. K., Majumdar, S., Bharadwaj, S., & Choudhury, T. R. 2008, MNRAS, 391, 1900
- de Bruyn et al. (2006) de Bruyn, A. G., Katgert, P., Haverkorn, M., & Schnitzeler, D. H. F. M. 2006, Astronomische Nachrichten, 327, 487
- de Oliveira-Costa et al. (2008) de Oliveira-Costa, A., Tegmark, M., Gaensler, B. M., Jonas, J., Landecker, T. L., & Reich, P. 2008, MNRAS, 388, 247
- Dennison (1980) Dennison, B. 1980, ApJ, 239, L93
- Deshpande & Rankin (1999) Deshpande, A. A., & Rankin, J. M. 1999, ApJ, 524, 1008
- Dessenne et al. (1996) Dessenne, C. A.-C., et al. 1996, MNRAS, 281, 977
- Djuth et al. (2004) Djuth, F. T., Sulzer, M. P., Gonzáles, S. A., Mathews, J. D., Elder, J. H., & Walterscheid, R. L. 2004, Geophysical Research Letters, 31, L16801
- Donati et al. (2006) Donati, J.-F., Forveille, T., Cameron, A. C., Barnes, J. R., Delfosse, X., Jardine, M. M., & Valenti, J. A. 2006, Science, 311, 633
- Dorrian et al. (2008) Dorrian, G. D., Breen, A. R., Brown, D. S., Davies, J. A., Fallows, R. A., & Rouillard, A. P. 2008, grl, 35, 24104
- Dorrian et al. (2010) Dorrian, G. D., et al. 2010, Solar Physics, 265, 207
- Duncan & Thompson (1992) Duncan, R. C., & Thompson, C. 1992, ApJ, 392, L9
- Dymond et al. (2008) Dymond, K., et al. 2008, in COSPAR Meeting, Vol. 37, 37th COSPAR Scientific Assembly, 775
- Efimov et al. (1996) Efimov, A. I., Bird, M. K., Andreev, V. E., & Samoznaev, L. N. 1996, Astronomy Letters, 22, 785
- Eikenberry et al. (2000) Eikenberry, S. S., Matthews, K., Muno, M., Blanco, P. R., Morgan, E. H., & Remillard, R. A. 2000, ApJ, 532, L33
- Erickson et al. (1995) Erickson, W. C., McConnell, D., & Anantharamaiah, K. R. 1995, ApJ, 454, 125
- Fallows et al. (2012) Fallows, R. A., Asgekar, A., Bisi, M. M., Breen, A. R., & ter-Veen, S. 2012, Solar Physics
- Fan et al. (2006) Fan, X., et al. 2006, AJ, 132, 117
- Farrell et al. (1999) Farrell, W. M., Desch, M. D., & Zarka, P. 1999, Journal of Geophysical Research, 104, 14025
- Fender (2006) Fender, R. 2006, in Compact stellar X-ray sources, ed. W. Lewin & M. van der Klis (Cambridge, UK: Cambridge University Press), 381
- Fender et al. (2004) Fender, R. P., Belloni, T. M., & Gallo, E. 2004, MNRAS, 355, 1105
- Fender et al. (2006) Fender, R. P., et al. 2006, in VI Microquasar Workshop: Microquasars and Beyond
- Ferrari et al. (2008) Ferrari, C., Govoni, F., Schindler, S., Bykov, A. M., & Rephaeli, Y. 2008, Space Science Reviews, 134, 93
- Field (1958) Field, G. 1958, Proceedings of the IRE, 46, 240
- Fletcher & Shukurov (2007) Fletcher, A., & Shukurov, A. 2007, in EAS Publications Series, Vol. 23, EAS Publications Series, ed. M.-A. Miville-Deschênes & F. Boulanger, 109
- Foster (1993) Foster, J. C. 1993, Journal of Geophysical Research, 98, 1675
- Foster & Coster (2007) Foster, J. C., & Coster, A. J. 2007, Journal of Atmospheric and Solar-Terrestrial Physics, 69, 1241
- Foster & Erickson (2013) Foster, J. C., & Erickson, P. J. 2013, J. Atm. Solar-Terr. Phys. (submitted)
- Frail et al. (1999) Frail, D. A., Kulkarni, S. R., & Bloom, J. S. 1999, Nature, 398, 127
- Frail et al. (2012) Frail, D. A., Kulkarni, S. R., Ofek, E. O., Bower, G. C., & Nakar, E. 2012, ApJ, 747, 70
- Furlanetto et al. (2006) Furlanetto, S. R., Oh, S. P., & Briggs, F. H. 2006, Phys. Rep., 433, 181
- Furlanetto et al. (2004) Furlanetto, S. R., Zaldarriaga, M., & Hernquist, L. 2004, ApJ, 613, 1
- Gaensler et al. (2005a) Gaensler, B., Haverkorn, M., Staveley-Smith, L., Dickey, J., McClure-Griffiths, N., Dickel, J., & Wolleben, M. 2005a, in The Magnetized Plasma in Galaxy Evolution, ed. K. T. Chyzy, K. Otmianowska-Mazur, M. Soida, & R.-J. Dettmar, 209
- Gaensler et al. (2001) Gaensler, B. M., Dickey, J. M., McClure-Griffiths, N. M., Green, A. J., Wieringa, M. H., & Haynes, R. F. 2001, ApJ, 549, 959
- Gaensler et al. (2011) Gaensler, B. M., et al. 2011, Nature, 478, 214
- Gaensler et al. (2005b) Gaensler, B. M., et al. 2005b, Nature, 434, 1104
- Galushko et al. (2003) Galushko, V. G., Beley, V. S., Koloskov, A. V., Yampolski, Y. M., Paznukhov, V. V., Reinisch, B. W., Foster, J. C., & Erickson, P. 2003, Radio Science, 38, 060000
- Geil et al. (2011) Geil, P. M., Gaensler, B. M., & Wyithe, J. S. B. 2011, MNRAS, 418, 516
- Geil et al. (2008) Geil, P. M., Wyithe, J. S. B., Petrovic, N., & Oh, S. P. 2008, MNRAS, 390, 1496
- Ginzburg & Zhelezniakov (1958) Ginzburg, V. L., & Zhelezniakov, V. V. 1958, Soviet Astronomy, 2, 653
- Green (2004) Green, D. A. 2004, Bulletin of the Astronomical Society of India, 32, 335
- Grießmeier et al. (2007) Grießmeier, J.-M., Zarka, P., & Spreeuw, H. 2007, A&A, 475, 359
- Güdel (2002) Güdel, M. 2002, ARA&A, 40, 217
- Güdel & Benz (1993) Güdel, M., & Benz, A. O. 1993, ApJ, 405, L63
- Gupta & Gangadhara (2003) Gupta, Y., & Gangadhara, R. T. 2003, ApJ, 584, 418
- Gurnett (1974) Gurnett, D. A. 1974, Journal of Geophysical Research, 79, 4227
- Hales et al. (1988) Hales, S. E. G., Baldwin, J. E., & Warner, P. J. 1988, MNRAS, 234, 919
- Hallinan et al. (2007) Hallinan, G., et al. 2007, ApJ, 663, L25
- Halpern et al. (2005) Halpern, J. P., Gotthelf, E. V., Becker, R. H., Helfand, D. J., & White, R. L. 2005, ApJ, 632, L29
- Hansen & Lyutikov (2001) Hansen, B. M. S., & Lyutikov, M. 2001, MNRAS, 322, 695
- Hassall et al. (2012) Hassall, T. E., et al. 2012, A&A, 543, A66
- Haverkorn et al. (2006) Haverkorn, M., Gaensler, B. M., McClure-Griffiths, N. M., Dickey, J. M., & Green, A. J. 2006, ApJS, 167, 230
- Haverkorn & Heitsch (2004) Haverkorn, M., & Heitsch, F. 2004, A&A, 421, 1011
- Haverkorn et al. (2003a) Haverkorn, M., Katgert, P., & de Bruyn, A. G. 2003a, A&A, 403, 1045
- Haverkorn et al. (2003b) Haverkorn, M., Katgert, P., & de Bruyn, A. G. 2003b, A&A, 403, 1031
- Haverkorn et al. (2003c) Haverkorn, M., Katgert, P., & de Bruyn, A. G. 2003c, A&A, 403, 1031
- Haverkorn et al. (2003d) Haverkorn, M., Katgert, P., & de Bruyn, A. G. 2003d, A&A, 404, 233
- Haynes et al. (1986) Haynes, R. F., Murray, J. D., Klein, U., & Wielebinski, R. 1986, A&A, 159, 22
- Helmboldt et al. (2012) Helmboldt, J. F., Lane, W. M., & Cotton, W. D. 2012, Radio Science
- Helmboldt et al. (2012) Helmboldt, J. F., Lazio, T. J. W., Intema, H. T., & Dymond, K. F. 2012, Radio Science, 47, 0
- Hernández-Pajares et al. (2006) Hernández-Pajares, M., Juan, J. M., & Sanz, J. 2006, Journal of Geophysical Research (Space Physics), 111, A07S11
- Hewish et al. (1964) Hewish, A., Scott, P. F., & Wills, D. 1964, Nature, 203, 1214
- Hollitt & Johnston-Hollitt (2012) Hollitt, C., & Johnston-Hollitt, M. 2012, PASA, 29, 309
- Hollweg et al. (1982) Hollweg, J. V., Bird, M. K., Volland, H., Edenhofer, P., Stelzried, C. T., & Seidel, B. L. 1982, Journal of Geophysical Research, 87, 1
- Hyman et al. (2002) Hyman, S. D., Lazio, T. J. W., Kassim, N. E., & Bartleson, A. L. 2002, AJ, 123, 1497
- Hyman et al. (2005) Hyman, S. D., Lazio, T. J. W., Kassim, N. E., Ray, P. S., Markwardt, C. B., & Yusef-Zadeh, F. 2005, Nature, 434, 50
- Hyman et al. (2009) Hyman, S. D., Wijnands, R., Lazio, T. J. W., Pal, S., Starling, R., Kassim, N. E., & Ray, P. S. 2009, ApJ, 696, 280
- Ichikawa et al. (2010) Ichikawa, K., Barkana, R., Iliev, I. T., Mellema, G., & Shapiro, P. R. 2010, MNRAS, 406, 2521
- Inoue (2004) Inoue, S. 2004, MNRAS, 348, 999
- Ishwara-Chandra et al. (2005) Ishwara-Chandra, C. H., Rao, A. P., Pandey, M., Manchanda, R. K., & Durouchoux, P. 2005, Chinese Journal of Astronomy and Astrophysics Supplement, 5, 87
- Jackson et al. (1998) Jackson, B. V., Hick, P. L., Kojima, M., & Yokobe, A. 1998, Journal of Geophysical Research, 103, 12049
- Jackson et al. (2007) Jackson, B. V., Hick, P. P., Buffington, A., Bisi, M. M., Kojima, M., & Tokumaru, M. 2007, Astronomical and Astrophysical Transactions, 26, 477
- Jacobson et al. (1995) Jacobson, A. R., Carlos, R. C., Massey, R. S., & Wu, G. 1995, Journal of Geophysical Research, 100, 1653
- Jacobson & Erickson (1993) Jacobson, A. R., & Erickson, W. C. 1993, Annales Geophysicae, 11, 869
- Jaeger et al. (2012) Jaeger, T. R., Hyman, S. D., Kassim, N. E., & Lazio, T. J. W. 2012, AJ, 143, 96
- Jenet et al. (2001) Jenet, F. A., Anderson, S. B., & Prince, T. A. 2001, ApJ, 558, 302
- Jensen et al. (2010) Jensen, E. A., Hick, P. P., Bisi, M. M., Jackson, B. V., Clover, J., & Mulligan, T. 2010, Sol. Phys., 265, 31
- Johns-Krull & Valenti (1996) Johns-Krull, C. M., & Valenti, J. A. 1996, ApJ, 459, L95
- Johnston (2003) Johnston, S. 2003, MNRAS, 340, L43
- Johnston et al. (2005) Johnston, S., Hobbs, G., Vigeland, S., Kramer, M., Weisberg, J. M., & Lyne, A. G. 2005, MNRAS, 364, 1397
- Kaiser (1987) Kaiser, N. 1987, MNRAS, 227, 1
- Kaplan (2008) Kaplan, D. L. 2008, in American Institute of Physics Conference Series, Vol. 968, Astrophysics of Compact Objects, ed. Y.-F. Yuan, X.-D. Li, & D. Lai, 129
- Kaplan et al. (2008) Kaplan, D. L., Hyman, S. D., Roy, S., Bandyopadh yay, R. M., Chakrabarty, D., Kassim, N. E., Lazio, T. J. W., & Ray, P. S. 2008, ApJ, 687, 262
- Kaplan et al. (2002) Kaplan, D. L., Kulkarni, S. R., Frail, D. A., & van Kerkwijk, M. H. 2002, ApJ, 566, 378
- Kaplan et al. (2003) Kaplan, D. L., Kulkarni, S. R., & van Kerkwijk, M. H. 2003, ApJ, 588, L33
- Kaplan & van Kerkwijk (2009) Kaplan, D. L., & van Kerkwijk, M. H. 2009, ApJ, 705, 798
- Karlický (2003) Karlický, M. 2003, Space Science Review, 107, 81
- Katz et al. (2003) Katz, C. A., Hewitt, J. N., Corey, B. E., & Moore, C. B. 2003, PASP, 115, 675
- Keane & Kramer (2008) Keane, E. F., & Kramer, M. 2008, MNRAS, 391, 2009
- Keane et al. (2011) Keane, E. F., Kramer, M., Lyne, A. G., Stappers, B. W., & McLaughlin, M. A. 2011, MNRAS, 415, 3065
- Keane et al. (2010) Keane, E. F., Ludovici, D. A., Eatough, R. P., Kramer, M., Lyne, A. G., McLaughlin, M. A., & Stappers, B. W. 2010, MNRAS, 401, 1057
- Keane et al. (2012) Keane, E. F., Stappers, B. W., Kramer, M., & Lyne, A. G. 2012, MNRAS, 425, L71
- Keith et al. (2010) Keith, M. J., et al. 2010, MNRAS, 409, 619
- Keller et al. (2007) Keller, S. C., et al. 2007, Publications of the Astronomical Society of Australia, 24, 1
- Kempner et al. (2004) Kempner, J. C., Blanton, E. L., Clarke, T. E., Enßlin, T. A., Johnston-Hollitt, M., & Rudnick, L. 2004, in The Riddle of Cooling Flows in Galaxies and Clusters of galaxies, ed. T. Reiprich, J. Kempner, & N. Soker, 335
- Keshet et al. (2004) Keshet, U., Waxman, E., & Loeb, A. 2004, ApJ, 617, 281
- Kojima et al. (1998) Kojima, M., Tokumaru, M., Watanabe, H., Yokobe, A., Asai, K., Jackson, B. V., & Hick, P. L. 1998, Journal of Geophysical Research, 103, 1981
- Komatsu et al. (2009) Komatsu, E., et al. 2009, ApJS, 180, 330
- Kondratiev et al. (2012) Kondratiev, V., Stappers, B., & the LOFAR Pulsar Working Group. 2012, in IAU Symposium 291: Neutron Stars and Pulsars: Challenges and Opportunities after 80 years, ed. J. van Leeuwen, arXiv:1210.7005
- Kondratiev & the LOFAR Pulsar Working Group (2012) Kondratiev, V., & the LOFAR Pulsar Working Group. 2012, in IAU Symposium 291: Neutron Stars and Pulsars: Challenges and Opportunities after 80 years, ed. J. van Leeuwen, arXiv:1210.6994
- Kondratiev et al. (2009) Kondratiev, V. I., McLaughlin, M. A., Lorimer, D. R., Burgay, M., Possenti, A., Turolla, R., Popov, S. B., & Zane, S. 2009, ApJ, 702, 692
- Kotake et al. (2006) Kotake, N., Otsuka, Y., Tsugawa, T., Ogawa, T., & Saito, A. 2006, Journal of Geophysical Research (Space Physics), 111, A04306
- Kramer et al. (2006) Kramer, M., Lyne, A. G., O’Brien, J. T., Jordan, C. A., & Lorimer, D. R. 2006, Science, 312, 549
- Kulkarni & Phinney (2005) Kulkarni, S. R., & Phinney, E. S. 2005, Nature, 434, 28
- Kumar (1962) Kumar, S. S. 1962, AJ, 67, 579
- Law & Bower (2012) Law, C. J., & Bower, G. C. 2012, ApJ, 749, 143
- Law et al. (2012) Law, C. J., Bower, G. C., Pokorny, M., Rupen, M. P., & Sowinski, K. 2012, ApJ, 760, 124
- Lazio & Farrell (2007) Lazio, T. J. W., & Farrell, W. M. 2007, ApJ, 668, 1182
- Lazio et al. (2004) Lazio, T. J. W., Farrell, W. M., Dietrick, J., Greenlees, E., Hogan, E., Jones, C., & Hennig, L. A. 2004, ApJ, 612, 511
- Lenc et al. (2008) Lenc, E., Garrett, M. A., Wucknitz, O., Anderson, J. M., & Tingay, S. J. 2008, ApJ, 673, 78
- Li et al. (1991) Li, Z., Wheeler, J. C., Bash, F. N., & Jefferys, W. H. 1991, ApJ, 378, 93
- Lidz et al. (2009) Lidz, A., Zahn, O., Furlanetto, S. R., McQuinn, M., Hernquist, L., & Zaldarriaga, M. 2009, ApJ, 690, 252
- Lidz et al. (2008) Lidz, A., Zahn, O., McQuinn, M., Zaldarriaga, M., & Hernquist, L. 2008, ApJ, 680, 962
- Liu & Tegmark (2011) Liu, A., & Tegmark, M. 2011, Phys. Rev. D, 83, 103006
- Liu et al. (2009) Liu, A., Tegmark, M., Bowman, J., Hewitt, J., & Zaldarriaga, M. 2009, MNRAS, 398, 401
- Liu et al. (2009) Liu, A., Tegmark, M., & Zaldarriaga, M. 2009, MNRAS, 394, 1575
- Liu et al. (2007) Liu, Y., Manchester, W. B., IV, Kasper, J. C., Richardson, J. D., & Belcher, J. W. 2007, ApJ, 665, 1439
- Lobzin et al. (2010) Lobzin, V. V., Cairns, I. H., Robinson, P. A., Warmuth, A., Mann, G., Gorgutsa, R. V., & Fomichev, V. V. 2010, ApJ, 724, 1099
- Lonsdale et al. (2009) Lonsdale, C. J., et al. 2009, IEEE Proceedings, 97, 1497
- Lorimer et al. (2007) Lorimer, D. R., Bailes, M., McLaughlin, M. A., Narkevic, D. J., & Crawford, F. 2007, Science, 318, 777
- Lynch et al. (2013) Lynch, R. S., et al. 2013, ApJ, 763, 81
- Lyne et al. (2009) Lyne, A. G., McLaughlin, M. A., Keane, E. F., Kramer, M., Espinoza, C. M., Stappers, B. W., Palliyaguru, N. T., & Miller, J. 2009, MNRAS, 400, 1439
- Maan et al. (2013) Maan, Y., et al. 2013, ApJS, 204, 12
- Macquart (2007) Macquart, J.-P. 2007, ApJ, 658, L1
- Maia et al. (2000) Maia, D., Pick, M., Vourlidas, A., & Howard, R. 2000, ApJ, 528, L49
- Mancuso & Spangler (2000) Mancuso, S., & Spangler, S. R. 2000, ApJ, 539, 480
- Mao et al. (2008) Mao, S. A., Gaensler, B. M., Stanimirović, S., Haverkorn, M., McClure-Griffiths, N. M., Staveley-Smith, L., & Dickey, J. M. 2008, ApJ, 688, 1029
- Marcy et al. (2005) Marcy, G., Butler, R. P., Fischer, D., Vogt, S., Wright, J. T., Tinney, C. G., & Jones, H. R. A. 2005, Progress of Theoretical Physics Supplement, 158, 24
- Maron et al. (2000) Maron, O., Kijak, J., Kramer, M., & Wielebinski, R. 2000, A&AS, 147, 195
- Matsumura et al. (2007) Matsumura, N., et al. 2007, AJ, 133, 1441
- Matsumura et al. (2009) Matsumura, N., et al. 2009, AJ, 138, 787
- McClintock & Remillard (2006) McClintock, J. E., & Remillard, R. A. 2006, in Compact stellar X-ray sources, ed. W. Lewin & M. van der Klis (Cambridge, UK: Cambridge University Press), 157
- McLaughlin et al. (2006) McLaughlin, M. A., et al. 2006, Nature, 439, 817
- McLaughlin et al. (2007) McLaughlin, M. A., et al. 2007, ApJ, 670, 1307
- McLean & Labrum (1985) McLean, D. J., & Labrum, N. R. 1985, Solar radiophysics: Studies of emission from the sun at metre wavelengths
- McQuinn et al. (2007) McQuinn, M., Lidz, A., Zahn, O., Dutta, S., Hernquist, L., & Zaldarriaga, M. 2007, MNRAS, 377, 1043
- McQuinn et al. (2006) McQuinn, M., Zahn, O., Zaldarriaga, M., Hernquist, L., & Furlanetto, S. R. 2006, ApJ, 653, 815
- Mejia-Ambriz et al. (2010) Mejia-Ambriz, J. C., Villanueva-Hernandez, P., Gonzalez-Esparza, J. A., Aguilar-Rodriguez, E., & Jeyakumar, S. 2010, Solar Physics, 265, 309
- Mellema et al. (2006) Mellema, G., Iliev, I. T., Pen, U.-L., & Shapiro, P. R. 2006, MNRAS, 372, 679
- Melrose (1980) Melrose, D. B. 1980, Space Science Review, 26, 3
- Melrose (2003) Melrose, D. B. 2003, Plasma Physics and Controlled Fusion, 45, 523
- Mesa et al. (2002) Mesa, D., Baccigalupi, C., De Zotti, G., Gregorini, L., Mack, K.-H., Vigotti, M., & Klein, U. 2002, A&A, 396, 463
- Mesinger (2010) Mesinger, A. 2010, MNRAS, 407, 1328
- Mirabel & Rodríguez (1999) Mirabel, I. F., & Rodríguez, L. F. 1999, ARA&A, 37, 409
- Mitchell et al. (2008) Mitchell, D. A., Greenhill, L. J., Wayth, R. B., Sault, R. J., Lonsdale, C. J., Cappallo, R. J., Morales, M. F., & Ord, S. M. 2008, IEEE Journal of Selected Topics in Signal Processing, vol. 2, issue 5, pp. 707-717, 2, 707
- Moortgat & Kuijpers (2005) Moortgat, J., & Kuijpers, J. 2005, in 22nd Texas Symposium on Relativistic Astrophysics, ed. P. Chen, E. Bloom, G. Madejski, & V. Patrosian, 326
- Morales et al. (2006) Morales, M. F., Bowman, J. D., & Hewitt, J. N. 2006, ApJ, 648, 767
- Morales et al. (2012) Morales, M. F., Hazelton, B., Sullivan, I., & Beardsley, A. 2012, ApJ, 752, 137
- Morales & Hewitt (2004) Morales, M. F., & Hewitt, J. 2004, ApJ, 615, 7
- Morales et al. (2005) Morales, M. F., Hewitt, J. N., Kasper, J. C., Lane, B., Bowman, J., Ray, P. S., & Cappallo, R. J. 2005, in ASP Conf. Ser., Vol. 345, From Clark Lake to the Long Wavelength Array: Bill Erickson’s Radio Science, ed. N. Kassim, M. Perez, W. Junor, & P. Henning (San Fransisco: ASP), 512
- Nakar & Piran (2011) Nakar, E., & Piran, T. 2011, Nature, 478, 82
- Nelson & Melrose (1985) Nelson, G. J., & Melrose, D. B. 1985, Type II bursts, ed. McLean, D. J. & Labrum, N. R. 333
- Nicolls & Heinselman (2007) Nicolls, M. J., & Heinselman, C. J. 2007, Geophysical Research Letters, 34, L21104
- Nijboer et al. (2009) Nijboer, R. J., Pandey-Pommier, M., & de Bruyn, A. G. 2009, SKA Memo #113, http://www.skatelescope.org/publications/
- Nord et al. (2006) Nord, M. E., Henning, P. A., Rand, R. J., Lazio, T. J. W., & Kassim, N. E. 2006, AJ, 132, 242
- Noutsos et al. (2008) Noutsos, A., Johnston, S., Kramer, M., & Karastergiou, A. 2008, MNRAS, 386, 1881
- Oberoi (2000) Oberoi, D. 2000, Ph.D. thesis, Indian Institue of Science
- Oberoi & Benkevitch (2010) Oberoi, D., & Benkevitch, L. 2010, Solar Physics, 265, 293
- Oberoi & Kasper (2004) Oberoi, D., & Kasper, J. C. 2004, Planetary and Space Science, 52, 1415
- Oberoi & Lonsdale (2013) Oberoi, D., & Lonsdale, C. J. 2013, Radio Science, in press
- Oberoi et al. (2011) Oberoi, D., et al. 2011, ApJ, 728, L27
- Oliver et al. (1994) Oliver, W. L., Fukao, S., Yamamoto, Y., Takami, T., Yamanaka, M. D., Yamamoto, M., Nakamura, T., & Tsuda, T. 1994, Journal of Geophysical Research, 99, 6321
- Oliver et al. (1997) Oliver, W. L., Otsuka, Y., Sato, M., Takami, T., & Fukao, S. 1997, Journal of Geophysical Research, 102, 14499
- Ord et al. (2007) Ord, S. M., Johnston, S., & Sarkissian, J. 2007, Solar Physics, 245, 109
- Osten & Bastian (2006) Osten, R. A., & Bastian, T. S. 2006, ApJ, 637, 1016
- Osten et al. (2006) Osten, R. A., Hawley, S. L., Bastian, T. S., & Reid, I. N. 2006, ApJ, 637, 518
- Paladini et al. (2003) Paladini, R., Burigana, C., Davies, R. D., Maino, D., Bersanelli, M., Cappellini, B., Platania, P., & Smoot, G. 2003, A&A, 397, 213
- Paladini et al. (2004) Paladini, R., Davies, R. D., & De Zotti, G. 2004, MNRAS, 347, 237
- Palenzuela et al. (2010) Palenzuela, C., Lehner, L., & Liebling, S. L. 2010, Science, 329, 927
- Pandey et al. (2007) Pandey, M., Rao, A. P., Ishwara-Chandra, C. H., Durouchoux, P., & Manchanda, R. K. 2007, A&A, 463, 567
- Pandey et al. (2006) Pandey, M., Rao, A. P., Pooley, G. G., Durouchoux, P., Manchanda, R. K., & Ishwara-Chandra, C. H. 2006, A&A, 447, 525
- Pandey et al. (2005) Pandey, M. D., Rao, A. P., Manchanda, R. K., Durouchoux, P., Ishwara-Chandra, C. H., & Kulkarni, V. K. 2005, Bulletin of the Astronomical Society of India, 33, 382
- Parker (1955) Parker, E. N. 1955, ApJ, 122, 293
- Patterson et al. (2008) Patterson, C. D., Ellingson, S. W., Martin, B. S., Deshpande, K., Simonetti, J. H., Kavic, M., & Cutchin, S. E. 2008, arXiv:0812.1255
- Patzold et al. (1987) Patzold, M., Bird, M. K., Volland, H., Levy, G. S., Seidel, B. L., & Stelzried, C. T. 1987, Solar Physics, 109, 91
- Petrosian (2001) Petrosian, V. 2001, ApJ, 557, 560
- Petrovic & Oh (2011) Petrovic, N., & Oh, S. P. 2011, MNRAS, 413, 2103
- Pfrommer et al. (2008) Pfrommer, C., Enßlin, T. A., & Springel, V. 2008, MNRAS, 385, 1211
- Pfrommer et al. (2006) Pfrommer, C., Springel, V., Enßlin, T. A., & Jubelgas, M. 2006, MNRAS, 367, 113
- Pindor et al. (2011) Pindor, B., Wyithe, J. S. B., Mitchell, D. A., Ord, S. M., Wayth, R. B., & Greenhill, L. J. 2011, PASA, 28, 46
- Popov et al. (2006) Popov, S. B., Turolla, R., & Possenti, A. 2006, MNRAS, 369, L23
- Readhead (1994) Readhead, A. C. S. 1994, ApJ, 426, 51
- Reich et al. (1990) Reich, W., Reich, P., & Fuerst, E. 1990, A&AS, 83, 539
- Remillard & McClintock (2006) Remillard, R. A., & McClintock, J. E. 2006, ARA&A, 44, 49
- Rickett (1969) Rickett, B. J. 1969, Nature, 221, 158
- Rickett (1990) Rickett, B. J. 1990, ARA&A, 28, 561
- Robinson & Cairns (2000) Robinson, P. A., & Cairns, I. H. 2000, in Radio Astronomy at Long Wavelengths, 37
- Rogers & Bowman (2008) Rogers, A. E. E., & Bowman, J. D. 2008, AJ, 136, 641
- Rudnick et al. (2009) Rudnick, L., et al. 2009, in Astro2010: The Astronomy and Astrophysics Decadal Survey, Science White Papers, no. 253, arXiv: 0903.0824
- Ryu et al. (2003) Ryu, D., Kang, H., Hallman, E., & Jones, T. W. 2003, ApJ, 593, 599
- Saar & Linsky (1985) Saar, S. H., & Linsky, J. L. 1985, ApJ, 299, L47
- Sagiv & Waxman (2002) Sagiv, A., & Waxman, E. 2002, ApJ, 574, 861
- Salah et al. (2005) Salah, J. E., Lonsdale, C. J., Oberoi, D., Cappallo, R. J., & Kasper, J. C. 2005, in Society of Photo-Optical Instrumentation Engineers (SPIE) Conference Series, Vol. 5901, Society of Photo-Optical Instrumentation Engineers (SPIE) Conference Series, ed. S. Fineschi & R. A. Viereck, 124
- Santos et al. (2005) Santos, M. G., Cooray, A., & Knox, L. 2005, ApJ, 625, 575
- Scherer et al. (2005) Scherer, K., Fichtner, H., Heber, B., & Mall, U. 2005, Space Weather: The Physics Behind a Slogan.
- Schnitzeler et al. (2009) Schnitzeler, D. H. F. M., Katgert, P., & de Bruyn, A. G. 2009, A&A, 494, 611
- Scott & Rees (1990) Scott, D., & Rees, M. J. 1990, MNRAS, 247, 510
- Scott et al. (1983) Scott, S. L., Rickett, B. J., & Armstrong, J. W. 1983, A&A, 123, 191
- Shkolnik et al. (2003) Shkolnik, E., Walker, G. A. H., & Bohlender, D. A. 2003, ApJ, 597, 1092
- Skillman et al. (2011) Skillman, S. W., Hallman, E. J., O’Shea, B. W., Burns, J. O., Smith, B. D., & Turk, M. J. 2011, ApJ, 735, 96
- Soderberg et al. (2010) Soderberg, A. M., et al. 2010, Nature, 463, 513
- Soderberg et al. (2007) Soderberg, A. M., et al. 2007, ApJ, 661, 982
- Sokoloff et al. (1998) Sokoloff, D. D., Bykov, A. A., Shukurov, A., Berkhuijsen, E. M., Beck, R., & Poezd, A. D. 1998, MNRAS, 299, 189
- Spangler & Whiting (2009) Spangler, S. R., & Whiting, C. A. 2009, in IAU Symposium, Vol. 257, IAU Symposium, ed. N. Gopalswamy & D. F. Webb, 529
- Stelzried et al. (1970) Stelzried, C. T., Levy, G. S., Sato, T., Rusch, W. V. T., Ohlson, J. E., Schatten, K. H., & Wilcox, J. M. 1970, Solar Physics, 14, 440
- Subrahmanyan & Ekers (2002) Subrahmanyan, R., & Ekers, R. D. 2002, ArXiv Astrophysics e-prints
- Sun et al. (2008) Sun, X. H., Reich, W., Waelkens, A., & Enßlin, T. A. 2008, A&A, 477, 573
- Suzuki & Dulk (1985) Suzuki, S., & Dulk, G. A. 1985, Bursts of Type III and Type V, ed. McLean, D. J. & Labrum, N. R. 289
- Tammann et al. (1994) Tammann, G. A., Loeffler, W., & Schroeder, A. 1994, ApJS, 92, 487
- Taylor et al. (2009) Taylor, A. R., Stil, J. M., & Sunstrum, C. 2009, ApJ, 702, 1230
- Taylor & Cordes (1993) Taylor, J. H., & Cordes, J. M. 1993, ApJ, 411, 674
- Tegmark (1997) Tegmark, M. 1997, Phys. Rev. D, 55, 5895
- Thompson & Duncan (1995) Thompson, C., & Duncan, R. C. 1995, MNRAS, 275, 255
- Tingay et al. (2013) Tingay, S. J., et al. 2013, Publications of the Astronomical Society of Australia, 30
- Tokumaru et al. (2011) Tokumaru, M., Kojima, M., Fujiki, K., Maruyama, K., Maruyama, Y., Ito, H., & Iju, T. 2011, Radio Science, 46, 0
- Tomsick et al. (2003) Tomsick, J. A., Corbel, S., Fender, R., Miller, J. M., Orosz, J. A., Tzioumis, T., Wijnands, R., & Kaaret, P. 2003, ApJ, 582, 933
- Usov & Katz (2000) Usov, V. V., & Katz, J. I. 2000, A&A, 364, 655
- Uyaniker et al. (2003) Uyaniker, B., Landecker, T. L., Gray, A. D., & Kothes, R. 2003, ApJ, 585, 785
- Vršnak & Cliver (2008) Vršnak, B., & Cliver, E. W. 2008, Solar Physics, 253, 215
- Warmuth & Mann (2004) Warmuth, A., & Mann, G. 2004, in Lecture Notes in Physics, Berlin Springer Verlag, Vol. 656, Lecture Notes in Physics, Berlin Springer Verlag, ed. K. Scherer, H. Fichter, & B. Herber, 49
- Wieringa et al. (1993) Wieringa, M. H., de Bruyn, A. G., Jansen, D., Brouw, W. N., & Katgert, P. 1993, A&A, 268, 215
- Wild et al. (1963) Wild, J. P., Smerd, S. F., & Weiss, A. A. 1963, ARA&A, 1, 291
- Wilms et al. (2007) Wilms, J., Pottschmidt, K., Pooley, G. G., Markoff, S., Nowak, M. A., Kreykenbohm, I., & Rothschild, R. E. 2007, ApJ, 663, L97
- Windhorst et al. (1985) Windhorst, R. A., Miley, G. K., Owen, F. N., Kron, R. G., & Koo, D. C. 1985, ApJ, 289, 494
- Wolleben et al. (2006) Wolleben, M., Landecker, T. L., Reich, W., & Wielebinski, R. 2006, A&A, 448, 411
- Woods & Thompson (2006) Woods, P. M., & Thompson, C. 2006, in Compact stellar X-ray sources, ed. W. Lewin & M. van der Klis (Cambridge, UK: Cambridge University Press), 547
- Wouthuysen (1952) Wouthuysen, S. A. 1952, AJ, 57, 31
- Wu & Lee (1979) Wu, C. S., & Lee, L. C. 1979, ApJ, 230, 621
- Wyithe (2008) Wyithe, J. S. B. 2008, MNRAS, 387, 469
- Wyithe & Loeb (2008) Wyithe, J. S. B., & Loeb, A. 2008, MNRAS, 383, 606
- Wyithe et al. (2005) Wyithe, J. S. B., Loeb, A., & Barnes, D. G. 2005, ApJ, 634, 715
- Wyithe et al. (2007) Wyithe, J. S. B., Loeb, A., & Schmidt, B. P. 2007, MNRAS, 380, 1087
- Wyithe & Morales (2007) Wyithe, J. S. B., & Morales, M. F. 2007, MNRAS, 379, 1647
- Xiong et al. (2011) Xiong, M., Breen, A. R., Bisi, M. M., Owens, M. J., Fallows, R. A., Dorrian, G. D., Davies, J. A., & Thomasson, P. 2011, Journal of Atmospheric and Solar-Terrestrial Physics, 73, 1270
- Zarka et al. (2001) Zarka, P., Treumann, R. A., Ryabov, B. P., & Ryabov, V. B. 2001, Ap&SS, 277, 293
- Zaroubi & Silk (2005) Zaroubi, S., & Silk, J. 2005, MNRAS, 360, L64
- Zhang (2007) Zhang, X. 2007, Chinese Journal of Astronomy and Astrophysics, 7, 712