The enigma of GCIRS 3

The enigma of GCIRS 3

Constraining the properties of the mid-infrared reference star of the central parsec of the Milky Way with optical long-baseline interferometry.thanks: Based on observations obtained at the European Southern Observatory, Paranal, Chile (programs 073.B-0249, 075.B-0113, 077.B-0028).
J.-U. Pott I. Physikalisches Institut, University of Cologne, Zülpicher Str. 77, D-50937 Köln, Germany
pott@ph1.uni-koeln.de European Southern Observatory (ESO), Karl-Schwarzschildstr. 2, D-85748 Garching bei München, Germany
   A. Eckart I. Physikalisches Institut, University of Cologne, Zülpicher Str. 77, D-50937 Köln, Germany
pott@ph1.uni-koeln.de
   A. Glindemann European Southern Observatory (ESO), Karl-Schwarzschildstr. 2, D-85748 Garching bei München, Germany    R. Schödel I. Physikalisches Institut, University of Cologne, Zülpicher Str. 77, D-50937 Köln, Germany
pott@ph1.uni-koeln.de
   T. Viehmann I. Physikalisches Institut, University of Cologne, Zülpicher Str. 77, D-50937 Köln, Germany
pott@ph1.uni-koeln.de
   M. Robberto Space Telescope Science Institute, 3700 San Martin Drive, Baltimore, MD 21218, USA
Received ¡date¿ / Accepted ¡date¿
Key Words.:
Galaxy: center – AGB: dust shells – Techniques: interferometric
offprints: J.-U. Pott, now at W.M. Keck Observatory: jpott@keck.hawaii.edu
Abstract

Context:GCIRS 3 is the most prominent MIR-source in the central parsec of the Galaxy. NIR spectroscopy has failed to solve the enigma of its nature. The properties and peculiarities of extreme individual objects in the central stellar cluster contribute to our knowledge of star and dust formation close to a supermassive black hole.

Aims:We initiated an unprecedented interferometric experiment to understand the nature of GCIRS 3, where we investigate its properties as a spectroscopic and interferometric reference star at 10 m.

Methods:VLT/VISIR imaging separates a compact source from diffuse, surrounding emission. The VLTI/MIDI instrument was used to measure spectroscopically resolved visibility moduli at an angular resolution of 10 mas of that compact 10 m source, still unresolved by a single VLT. Recent NIR/MIR photometry data were added to enable simple SED- and full radiative transfer-modeling of the data.

Results:The luminosity and size estimates show that IRS 3 is probably a cool carbon star enshrouded by a complex dust distribution. Blackbody temperatures were derived. The coinciding interpretation of single telescope and interferometric data confirm dust emission from several different spatial scales. The interferometric data resolve the inner rim of dust formation. Despite observed deep silicate absorption towards GCIRS 3, we favor a carbon-rich circumstellar dust shell. The silicate absorption most probably takes place in the outer diffuse dust, which is mostly ignored by MIDI measurements, but very observable in complementary VLT/VISIR data. This indicates physically and chemically distinct conditions of the local dust, changing with the distance to GCIRS 3.

Conclusions:We have demonstrated that optical long baseline interferometry at infrared wavelengths is an indispensable tool for investigating sources at the Galactic center. Our findings suggest further studies of the composition of interstellar dust and the shape of the 10 m silicate feature in this extraordinary region.

1 Introduction

Figure 1: Flux-calibrated Lucy-Richardson deconvolved image at 8.59 m after restoration with a 250 mas Gaussian beam. The pixel scale is 75 mas per pixel. The logarithmic contours levels are 1.67 mJy. The flux scale is given on top. IRS 3 and Sgr A* are highlighted. Details of the data reduction are given in Schödel et al. (2007b).

At a distance of 7.6 kpc (Eisenhauer et al., 2005), the center of the Milky Way is by far the closest center of a large spiral galaxy. Its astrophysical properties can be studied on a unique angular scale of 40 mpc/arcsec, which is two orders of magnitude smaller than the angular scale at the nucleus of M31, the next comparable galaxy (McConnachie et al., 2005). Star formation and the kinematics of the central stellar cluster can be studied in the region of direct influence of the supermassive black hole (SMBH) at the dynamic center of the Milky Way (Eckart & Genzel, 1996; Ghez et al., 2000; Schödel et al., 2002).

The active history of star formation, despite the tidal forces of the SMBH, is manifested in the existence of numerous massive, young stars in the central cluster (Krabbe et al., 1995; Genzel et al., 2000; Eckart et al., 2004; Moultaka et al., 2004). The 7 most luminous (L), moderately hot blue supergiants (K) provide about 50% of the flux ionizing the region (Blum et al., 1995; Krabbe et al., 1995; Najarro et al., 1997). Schröder et al. (2003) have shown that a few tens of carbon-rich supergiants can produce about 50% of the mass loss of a large stellar sample with solar neighborhood characteristics. Thus, similar to the ionizing flux, the mass loss and dust-formation properties of a stellar cluster can be dominated by a few prominent stars. These facts underline the importance of studying individual extreme objects like GCIRS~3 111in the following IRS 3 to understand properties of the entire surrounding stellar environment.

The recent advent of mid infrared2223-20 m covering the atmospheric , , , and windows (MIR) instruments on 8 m class telescopes enables us to study in detail the thermal dust at the Galactic center (GC) at unprecedented angular resolution. The investigation of the circum- and interstellar dust distribution at the GC uncovers stellar mass loss, zones of wind interaction, formation history, evolution, and kinematics.

Photometric and spectral properties of dusty stars at the GC have recently been published by Moultaka et al. (2004) and Viehmann et al. (2005, 2006). Despite an average optical extinction of 25 (Scoville et al., 2003; Viehmann et al., 2005), near-infrared spectroscopy and imaging reveal the nature of the underlying dust-embedded stars in most cases, since the dust extinction is wavelength-dependent and decreases from the optical towards longer wavelengths.

This article focuses on the most prominent of the MIR bright dusty sources, IRS~3, the embedded stellar source, which still eludes any spectral classification (Paumard et al., 2006; Tanner et al., 2006). It is located within the central 20”. A recent state-of-the-art narrow-band MIR image at 8.6 m with an angular resolution of only 250 mas is shown in Fig. 1. The extended and diffuse dust emission surrounding IRS 3 is visible at unprecedented angular resolution in this image.

The NIR extinction studies reveal a spatial variation of only 10% () of the interstellar extinction over this region (Scoville et al., 2003; Moultaka et al., 2004; Schödel et al., 2007a).

In contrast, narrow-band, -band photometry and spectroscopic observations are interpreted to indicate a significant amount of additional 10 m silicate absorption along the line of sight towards IRS 3 with respect to other parts of the central 20” (Becklin et al., 1978; Roche & Aitken, 1985; Viehmann et al., 2006). The published intrinsic optical depths of about , in addition to the average (e.g. Roche & Aitken, 1985), still underestimate the true value due to source confusion problems. While our new high-resolution VISIR data clearly indicate that more than 50% of the -flux is diffuse, extended emission at 0.3” resolution, one byproduct of the MIDI observations is the calibrated, low-resolution spectra of the compact emission, which show (IRS 3) to be much larger than the value given above.

Rieke et al. (1978) found the spectro-photometric MIR properties of IRS 3 to resemble either young stars or OH/IR stars. The latter interpretation is opposed by the lack of OH-maser emission. With an MIR color temperature of  400 K, the central emission of IRS 3 was found to be (together with the nearby GCIRS 7) the hottest and most compact of the sources dominating the thermal dust irradiation from the GC (Rieke et al., 1978; Gezari et al., 1985; Smith et al., 1990). Extended dust emission around IRS 3 interacting with external stellar winds has been found in recent and band observations (Viehmann et al., 2005). While hot star hypotheses are given by some authors (Krabbe et al., 1995; Tanner et al., 2003), the lack of ionizing gas leads Roche & Aitken (1985) to the assumption of IRS 3 being a cool dust-enshrouded star.

Within the past two years we collected a unique dataset of optical long-baseline interferometric (OLBI) data of IRS 3 at 10 m. These constitute the first successful OLBI observation of an object within the central parsec of our galaxy, opening the window to NIR/MIR GC observations at highest angular resolution (Pott et al., 2005a). In this article we show that the OLBI data strongly support the former hypothesis of a cool dust-enshrouded star. Furthermore our results shed light on the amount and spectral shape of the interstellar 10 m extinction towards IRS 3 at unprecedented angular resolution. Since MIDI is a relatively new instrument, the achievable precision of visibility measurements of such distant, challenging targets is not common knowledge yet. In Sect. 2 we therefore describe the observations, the extensive data-reduction and calibration efforts, and the evaluation of different data reduction techniques in some detail to ease and stimulate similar experiments and the comparison of their outcomes. Then the immediate observational results are given (Sect. 3), followed by a detailed discussion of the results in the astrophysical context (Sect. 4) and a summary of our conclusions in Sect.5.

2 Observations and data reduction

Baseline PB PA Airmass Accuracy
[m] [deg E of N] [1] %
#1 night: 2004-07-07  -  5 calibrators
U2-U3 45.7 46 1.03 12
U2-U3 42.3 52 1.16 12
U2-U3 37.0 55 1.45 12
U2-U3 26.4 53 2.63 14
#2 night: 2004-07-08 -  8 calibrators
U2-U3 44.9 11 1.38 19
U2-U3 43.5 50 1.11 14
#3 night: 2005-05-25 -  7 calibrators
U3-U4 45.8 89 1.36 14
#4 night: 2005-06-23 -  4 calibrators
U3-U4 45 89 1.39 23
U3-U4 46.8 90 1.33 16
#5 night: 2005-06-27 -  4 calibrators
U3-U4 54 139 1.29 11
#6 night: 2005-07-20 -  7 calibrators
U3-U4 58.6 101 1.07 22
U3-U4 59.6 124 1.08 22
#7 night: 2005-08-23 -  2 calibrators
U3-U4 62.5 112 1.00 20
U3-U4 54.9 136 1.25 21
Table 1: Observing log of IRS 3. The wavelength dependent has been estimated for each night on the basis of regularly conducted calibrator measurements, typically about once per hour (Sect. 2). The number of calibrators used per night is given, and the applied parameters are given in Table 2.
Name Spectral Diameter Flux dens. Night 333The night in which the calibrator was used
type [mas] [Jy 12m]
HD107446 K3.5III 4.420.03 22.0 4
HD109379 G5II 3.250.02 15.1 1
HD123139 K0IIIb 5.340.03 36.4 3
HD134505 G8III 2.50 0.01 8.4 4
HD142804 M1III 2.790.04 8.0 7
HD152820 K5III 2.620.01 7.5 3,4
HD160668 K5III 2.280.01 5.7 3,5
HD165135 K0III 3.480.02 15.5 1-7
HD169767 G9III 2.160.01 5.9 3
HD169916 K1IIIb 4.000.03 20.1 4
HD173484 M4III 3.430.04 11.9 5,6
HD177716 K1IIIb 3.760.03 17.1 2
HD178345 K0II 2.490.01 7.6 5-7
HD188512 G8IV 2.070.01 5.9 1-3
HD192947 G6/G8III 2.330.02 7.5 1
HD213009 G7III 2.080.02 5.9 5
HD218594 K1III 3.180.02 12.4 3
HD220704 K4III 3.450.02 13.2 7
Table 2: Parameters of the calibrators used for estimating the transfer function.
Figure 2: Part of the science data taken on 2005-05-25. We overplot the different reduction methods (coherent and incoherent fringe averaging and static and dynamic detector apertures) to demonstrate the different results. The labelling indicates the artificial wavelength shifts successively applied to increase the readability of the plot. The relative errors of each method is given. The rightmost error bars present the merged, maximum error bars. We based our analysis on these merged data.

In 2004 we started an observing campaign to study the brightest MIR-excess sources in the central parsec with MIDI at the highest angular resolution available today. The MID-Infrared interferometric instrument (MIDI) combines the light of two 8.2m unit telescopes of the ESO Paranal Observatory in Chile (Leinert et al., 2003). We used the standard 0.5”2” slit and dispersed the light over the entire band (8-13 m) with the prism providing a spectral resolution of . The first MIR fringes of IRS 3 were recorded successfully on the night of 7 July 2004. The whole dataset comprises 14 independent visibility measurements of IRS 3 with interlaced calibration measurements. The projected baseline length (PB) and position angle (PA) of each measurement are given in Table 1 for the beginning of the fringe measurement. The last column gives the median relative uncertainty obtained for the calibrated visibility outside the low-flux region of the silicate absorption.

2.1 Interferometric calibrator stars

In Table 2 we list the used calibrators with their main features. The angular diameter ascertainments result from fitting Atlas9 and Marcs model atmosphere spectral energy distributions (SEDs) to optical and NIR photometry. The chosen models (Kurucz, 1992, 1994; Plez et al., 1992) adopt solar metallicity. Details of the model fitting are given in van Boekel (2004, chapter 5). The modeled 12m flux densities listed in Table 2 are consistent within 5% with the work of Cohen et al. (1999), who present a list of absolutely calibrated infrared spectra. Furthermore, none of those calibrators shows an MIR-excess, defined as having a measured 12 m flux density more than 3  above the synthetic spectra fitted to the optical-NIR data. Such an MIR-excess would indicate the existence of (extended) dust shells. Dust shells, which can be expected to exist around K-M giants, radiate the stellar flux at longer wavelengths and decrease the visibility amplitudes of the entire object; i.e., they deteriorate the calibrator properties. The absence of an MIR-excess also makes all visibility calibrators usable as potential photometric calibrators, down to the 5% uncertainty, which is often not reached due to atmospheric and instrumental variability. The photometric variability and the fitting uncertainty of the angular diameter of all the calibration stars in Table 2 affect the accuracy of the derived transfer functions by less then 1% at all VLTI baselines ( 200 m).

2.2 Calibration and absolute accuracy

Figure 3: The influence of faulty background estimation on the final accuracy for data from 2005-05-25. The standard reduction is plotted (solid line) with respective uncertainties (small errorbars to the right of larger ones). It suggests a significant deviation from a smooth, flat visibility spectrum (dotted line: weighted quadratic fit over the silicate absorption feature). In particular the visibility increase (solid line) at  11 m towards the absorption center cannot be confirmed if we consider the impact of background subtraction errors (large error bars). To demonstrate the flux dependence of the importance of background accuracy, we overplotted the total flux spectrum (in Jy).
Figure 4: Transfer functions in gray, derived from the individual calibrator measurements of 2005-05-25. The error bars around 5% indicate the statistical error of the single data frames of one measurement, which is slightly smaller than the absolute variation in the over the night. The mean , which we used for this night, is overplotted in bold solid black style with the standard deviation. The two remote (gray), highlighted with a diamond symbol, were rejected from calculating the mean because of abnormal behavior relative to the average of the good .
Figure 5: Different analyses of the , derived from calibrator measurements on 2005-05-25. To increase the clarity of the plot, the wavelengths of two overplots have been shifted, as indicated by the respectively shifted labeling. Left error bars: average (mean & standard deviation) of the individual . The two other data sets are averaged in normalized space (division of the individual by their integral). Central: maximum differential fluctuation between adjacent spectral channels, presenting a conservative maximum of the spectral shape error of . Right: standard deviation of the normalization factor, representing the order of magnitude of the variability of transmission between the and measurement.

The immediate measurand, the raw visibility , is the ratio of measured correlated () and total flux (). The final quantity of interest is the calibrated visibility (), which is computed by dividing the raw visibility () by the interferometric transfer function () of the observation. Propagation of errors relates the uncertainties to each other:

(1)
(2)

The is derived from the measurement of a calibrator star and its intrinsic visibility (Eq. 2). The uncertainty of the diameter of the calibrator is usually too small to affect (Table 2). Thus suffers twice from the accuracy of the estimation of (Eq. 1). This central accuracy can be estimated by means of the following considerations and investigations of calibrator data sets.

All constant defects of are corrected for by multiplication with and thus have only a minor influence on the final accuracy; e.g., the time delay between the measurement of and is only used a few minutes in the high-sensitivity mode of MIDI. This reduces the variation of atmospheric transmission in the thermal infrared, due to airmass difference and temporal fluctuations, to such a level that a small and time-constant impact on the quotient / can be assumed. We prove this by the following test, visualized in Fig. 5. If the atmospheric and instrumental flux transmission change randomly at a significant level between the and measurements, the orders of magnitude of and the resulting are affected and the absolute accuracy of the calibrated visibility is worse than the relative spectral accuracy. To derive this spectral accuracy we linearly normalize each individual of a night by dividing through the integral over a fixed part of the -band and estimate the maximum scatter in each spectral channel. If this scatter is significantly smaller than the scatter of the normalization factors, a strong transmission variability has been observed (assuming constant intrinsic visibility). Figure 5 shows that this is not the case. Note in the same figure the increase in the shape error around the atmospheric ozone absorption band at 9.7 m and at the borders of the -band, where the applicability of simple linear normalization decreases.

Faulty and unequal background suppression during reduction of both data sets also does not vary on a significant level for the bright calibrator stars. The influence of background noise for faint science targets is discussed at the end of the section.

As a matter of fact, Leinert et al. (2004) state that the accuracy of is dominated by the accuracy of the overlap between the interfering beams, which critically relies on the wavefront corrections during observations. This is difficult to quantify and thus cannot be easily incorporated into the . Usually the quality of the beam overlap does not vary statistically during one observation. This means that there is no mean overlap accuracy to correctly describe a single observation and that the , if derived from one calibrator measurement, may not be applicable to a subsequent science observation. We confirm this on the basis of our dataset. A single observation of both and consists of several frames that are averaged during data reduction. We estimate the standard deviation of the subsequent scans and analyze the background in chopped photometry data to derive a statistical uncertainty for each measurement of . The resulting total statistical uncertainty is similar for the individual calibrator observations, but it cannot fully explain the larger scatter of individually estimated over the respective observing night. Figure 4 demonstrates that the standard deviation over several calibrators is only as small as expected from the estimated uncertainty of the individual measurements ( 5%), if outliers are rejected from the average. That means that the absolute accuracy of the visibility measurement can change significantly with each new pointing.

Furthermore, the overnight scatter of is significantly reduced in the 2005 data due to the more stable VLTI feeding by the higher-order AO-system Macao instead of the earlier tip-tilt-only correction of the Strap units (Arsenault et al., 2003). This also confirms the dominating influence of varying beam overlap and flux concentration between different pointings on the visibility accuracy.

The above given tests and considerations underline the origin of the accuracy of the measurement and justify the accuracy of a single measurement only being given by the statistics of several calibrator measurements. We calculated the mean and standard deviation of the different to quantify and . Note that the presented estimation of errors even holds for an extended calibrator with visibilities significantly lower than one, provided that the diameter of the calibrator is known at sufficient precision. Although will systematically change over the night with changing projected baseline length, this effect is annihilated by calculating (Eq. 2).

Since the number of calibrators per night is typically around 8, one strongly deviating from the others can influence the mean and standard deviation significantly. To avoid this situation we did not use the median, but rejected the anomalous manually (on average one per night, Fig. 4). This has the advantage that the mean and standard deviation of the resulting sample better represents the spectral shape of the reducing the probability of artificial spectral features in the calibrated visibility spectrum.

To complete Eq. 1, we have to know the relative uncertainty of of the measured target. Qualitatively the origin is similar, as discussed above for the calibrators, but the flux of the science targets can be significantly smaller than the calibrator fluxes. Since our calibrators cover a range of 5-35 Jy, we searched for any flux dependence of on the basis of our data. We checked for every night whether on average the scatter of the of the fainter calibrators is greater than the scatter of the of brighter ones, but did not find any such flux dependence. Thus we assume a flux-independent relative uncertainty of resulting in the uncertainty of the calibrated visibility:

(3)

This estimation might still underestimate the relative accuracy of the final calibrated visibility of the science target, since IRS 3 was observed with an off-axis AO-guide star, which decreases the AO performance with respect to the on-axis guiding on the calibrators. We compared the PSF of the photometric data of IRS 3 with the calibrator measurements and specified three datasets with calibrator-like PSF. These are highlighted throughout the analysis and provide the tightest constraints on our interpretation of the data (cf. Sect. 2.4 & 3).

If the correlated flux drops significantly below 5 Jy and approaches the sensitivity limits, an increase in the relative uncertainties will probably occur due to the increased influence of noise; but outside the deep silicate absorption, the correlated spectrum of IRS 3 is above this limit. Furthermore, imperfect background subtraction has an increasing influence on the final accuracy with decreasing source flux. To account for this, we estimated the background level by reducing sky-frames without the source. Typically the background randomly varies between zero and a value close to , where is the sum of the mean and standard deviation of all spectral channels of the background frames. This leads to a maximum background induced error interval of

(4)

which dominates the flanks of the strong silicate absorption towards IRS 3. A putative increase in visibility towards the absorption center, which appears to be present after applying the standard reduction, cannot be verified after incorporating the background uncertainty (Fig. 3). Indeed, not all datasets show such an increase after the standard reduction.

2.3 Data reduction

We used the data reduction package Mia+Ews provided by the MIDI consortium444See the ESO web pages for general information and links (http://www.eso.org/instruments/midi/). Currently the data reduction package is provided on: http://www.strw.leidenuniv.nl/nevec/MIDI/.. This package offers two different methods for reducing the data: incoherent averaging of the fringe power in each spectral bin over several scans, and coherent averaging of the single dispersed scans. In the band, the latter method can provide the differential phase information in addition to the visibility amplitude, if the atmospheric and instrumental delay and dispersion have been removed properly. A more detailed description of both methods and their realization in Mia+Ews is given by Leinert et al. (2004) and Jaffe (2004), respectively. Since noise always contributes positively to the power spectrum, it is not automatically reduced by averaging incoherently over several scans. In contrast, the coherent integration reduces the statistical noise of the fringe data by averaging, which makes this method favorable at very low correlated flux (below about 1 Jy) and low SNR. Correlated fluxes down to 0.1 Jy could be estimated by this method (Jaffe, private communication). Since our MIDI data is usually well above this limit, we found consistent results of both reduction algorithms throughout the complete dataset (Fig. 2).

The constantly changing baseline projection due to earth rotation limits the integration times of the measurement. To reduce the noise level, which is intrinsically high in the thermal infrared, only the pixels with the highest SNR should be considered by the reduction algorithm. This is achieved by detector aperture masks, which can lead to reduced SNR if the chosen aperture is too large, too small, or misplaced with respect to the incident source photons. This effect is strongly enhanced by beam distortions and motions that are only partially corrected by the AO system, which holds especially for our data since we had to lock the AO on an off-axis guide star 35” away from the GC. Therefore we reduced the full dataset four times: with both coherent and incoherent fringe averaging and by applying two different apertures (or detector masks), a wide standard one with fixed location and width and a narrower one that is chosen dynamically for the PSF of every observation to trace the beam maximum and to have an optimized width (this is the narrow mask in Fig. 2).

After calibrating the data and estimating its accuracy as described in Sect. 2.2, the four spectra were averaged. To estimate the accuracy conservatively, we selected a maximum including all four uncertainty intervals (Fig. 2).

Note that the apparent correlation between systematically higher visibilities and the use of the narrower mask in this figure is not a general systematic effect, but depends on the data set. Other data show an apparent correlation between visibility and averaging method, independent of the chosen mask. Consequently we do not prefer one single reduction method over another but use the merged data. Furthermore, the differences are significant with respect to the intrinsic uncertainties, resulting in clearly increased uncertainties of the merged data. The mean final relative accuracy of each merged scientific dataset is given in Table 1.

2.4 Photometric Calibration

MIDI observations provide the astronomer with spectra of the total flux of the target in addition to the visibility modulus. We flux-calibrated the spectra on the basis of the regularly observed interferometric calibrator stars, typically late type giants (Sect. 2.1). We fitted an airmass-dependent system response to the calibrator measurements of each night to flux-calibrate the science data (for a more detailed description see van Boekel et al., 2005). Spectra that were obviously faulty were not taken into account. Such a time-independent system response model makes it possible to use all the good calibrator measurements of the night, which is especially favorable if the broad band spectrum of the science target is not known. Furthermore, the airmass dependence can minimize the impact of larger distances between the calibrators and the target. In some nights only one star was closer than 10 to the target because of scheduling requirements. On normal nights, incorporating airmass-dependence reduced the calibration uncertainties by up to 5%. But then the model includes uncertainties due to varying atmospheric transmission and the instrumental throughput over the night, resulting in final photometric accuracies of about 5-10%, which dominate the intrinsic uncertainties of the used calibrator spectra.

The Gaussian detector masks (Sect.2.3) that are typically applied do not affect the visibility calculation but only the photometry. If the science target is not completely unresolved by the single telescope PSF (Fig. 14) or if such a weighting mask is not well-centered on the brightest pixels, the measured flux is decreased. We reduced the photometry separately without applying any mask to take care of any such bias. Furthermore, it turned out that a lot of datasets on the target have at least one beam of significantly lower quality than the other one. Since the calibrator measurements do not show such a strong beam variation, this effect is assumed to result from the use of an off-axis AO guide star during the observations of IRS 3, decreasing the accuracy of the wave-front correction (Sect.2.3). A manual selection of good datasets facilitates a final photo-spectrometric accuracy of less than 10%, which is decreased towards low fluxes due to the remaining background. The result is shown in the lower spectrum in Fig. 10).

3 Results

In this section we present the direct results of our interferometric measurements. First the measured and calibrated data are shown. Then in the following sections we discuss how the observed spectra constrain the underlying brightness distribution. This discussion outlines the average properties of IRS 3 in the MIR at MIDI resolution.

3.1 Visibility moduli

Julian date PB 555PB and PA stand for projected baseline length and position angle and characterize the interferometric resolution at the time of the observation. PA 5 Visibility
[m] [deg E of N] 8-8.7 m 11.8-13 m
 #1 night: 2004-07-07
2453194.7 45.7 46 0.17 0.05 0.27 0.04
2453194.7 42.3 52 0.20 0.06 0.28 0.04
2453194.8 37.0 55 0.24 0.07 0.34 0.04
2453194.9 26.4 53 0.47 0.19 0.53 0.10
 #2 night: 2004-07-08
2453195.5 44.9 11 0.22 0.06 0.32 0.06
2453195.7 43.5 50 0.22 0.05 0.26 0.04
 #3 night: 2005-05-25
2453516.6 45.8 89 0.17 0.03 0.25 0.04
 #4 night: 2005-06-23
2453545.5 45 89 0.10 0.05 0.18 0.05
2453545.5 46.8 90 0.11 0.04 0.22 0.04
 #5 night: 2005-06-27
2453549.8 54 139 0.13 0.02 0.22 0.03
 #6 night: 2005-07-20
2453572.5 58.6 101 0.10 0.04 0.21 0.05
2453572.7 59.6 124 0.08 0.03 0.18 0.04
 #7 night: 2005-08-23
2453606.5 62.5 112 0.05 0.02 0.15 0.04
2453606.6 54.9 136 0.05 0.02 0.12 0.04
Table 3: Measured mean visibility moduli below and above the silicate absorption, centered at 9.8 m.
Figure 6: Calibrated visibility spectra ordered following the interferometric resolution to show the dependence on the projected baseline length (given to the right). Each curve is plotted in a different style. For the sake of clarity we plotted only errorbars for the solid curves, and the other curves have uncertainties on a similar relative scale. The gray dotted lines show the used linear interpolation over the deep silicate absorption, where we do not have reliable data. Note the different scaling of the panels.

The measured visibility moduli are given in Table 3 . Following Sect. 2.2 we did not find within the uncertainties any deviation from a smooth visibility slope over the full band. Since no correlated fluxes have been measured at the center of the silicate absorption, we give the mean visibility and its accuracy for two adjacent wavelength intervals in Table 3. The fully calibrated visibility spectra are shown in Fig. 6. Note the two outliers at the bottom of the upper and the middle panels. With respect to their projected baseline length, they show visibilities too low to be consistent with the other data. This is most probably an artefact due to bad beam overlap at those observing times.

3.2 Probing the circular symmetry in uv-space

Figure 7: uv-coverage of all our observations. The overplotted ring indicates a uv-radius of 5 M. We have investigated the degree of circular symmetry along this annulus (Fig. 8). North is up, East to the left.
Figure 8: Measured visibilities at a uv-radius of 5 M. To guide the reader’s eye we have overplotted a horizontal representing total circular symmetry, which was fitted to the data of best photometric quality in both beams (three thick error bars). If a linear correlation with arbitrary slope is fitted to the full dataset, and a negative slope shows a  10% smaller reduced , which could indicate asymmetry or a wavelength-dependent size (Sect. 3.2).
Figure 9: Azimuthal data average in both panels. Upper panel: error bars represent the data taken at 8.5 (gray) and 12.5 m (black & diamonds), respectively. In the lower panel, the same spectral average (black solid line and error bars) is shown with all measured visibilities (error bars in light gray). The three datasets with the best beam quality are highlighted in dark gray. To calculate the average, we interpolated linearly over the silicate absorption where necessary.

Circular symmetry in uv-space implies circular symmetry of the brightness distribution. To probe the variation in the measured visibility with changing position angle (PA), we compared our data at a fixed uv-radius, where most data were obtained. In Fig. 7 we show the uv-coverage of the entire dataset, overplotted with a ring of constant uv-radius (5 M). Note that the definition of uv-radius (= projected baselinelength/observing wavelength) leads to radial lines in the figure and to the situation where along the circle datapoints at different PA might be observed at different wavelengths. The uv-radius gives the angular resolution and should show similar visibilities at different PA in the case of circular symmetry. In Fig. 8 the mean visibilities at 5 M of each dataset are plotted. The overplotted horizontal indicates that the full dataset still conforms to total circular symmetry. Although some data points do not perfectly coincide with circular symmetry, it has to be remembered that the shown error bars of single measurements may be underestimated, since their estimation relies on averaging several calibrator measurements of the observing night, leading to an average uncertainty that may be exceeded in individual cases.

On the other hand, the drawn horizontal shows that a slight deviation from circular symmetry is possible. The values around PA=(120) appear to lie on average below the values at smaller PA. Possible reasons for such circular asymmetry are discussed in Sect. 4.4.

But it has to be mentioned that the data points with the best photometric quality (used to fit the horizontal in Fig. 8) have nearly identical visibilities at different PA. And a comparison with the uv-coverage (Fig. 7) shows that the longer wavelength spectral channels have been considered at those PA with a tendency towards lower visibilities (Fig. 8), i.e. the possibly indicated deviation from circular symmetry in Fig. 8 might in fact derive from the slightly wavelength-dependent size of IRS 3. We do not expect to observe wavelength-dependent sizes due to line emission or absorption of a certain layer, since the visibility spectrum over the band is apparently free of spectral line features within the uncertainties.

But a slight change in the shape and the size scale of the brightness distribution of the dust can be expected due to typically lower temperatures of larger, outer dust layers dominating at longer wavelengths. This interpretation can easily explain the deviations from perfect circular symmetry in Fig. 8 and is further backed up by a slight increase of size with wavelength indicated by the wavelength dependent analysis of the data (Sect. 3.4.2).

Circular symmetry implies a vanishing differential phase, which remains in the data after coherent averaging and calibration. We did not find differential phases along the band spectrum larger than the remaining scatter of less than 5 around zero. Based on the circular symmetry found, we show the PA-averaged data plotted over the uv-radius in the lower panel of Fig. 9. Also the black solid line in both panels is the wavelength average of all data and lies smoothly between data sets at 8.5  and 12.5 m (upper panel). This instead indicates a slight size increase in the brightness distribution with wavelength than a qualitative change because the overall trend of the visibility with baseline length coding the brightness distribution is similar over the -band.

Naturally the merged data represent an average brightness distribution at the cost of losing the slight wavelength-dependence but gaining additional and more accurate datapoints, since we can use all spectral channels together. Note in the lower panel in Fig. 9 that statistical data averaging at one uv-radius normally reduces the errorbars with respect to the original data. The wavelength-averaged data is used only in Sect. 3.4.1 to derive an overall description of the underlying brightness distribution, which itself is used as a basis for describing the wavelength dependence of IRS 3 by fitting the average model to the wavelength-dependent data (Sect. 3.4.2). The three datasets of highest photometric quality are highlighted. This suggests that, beyond  6 M, the averaged uv-data (black solid line) indicate visibilities, which are too low since they lie below the best data.

3.3 Photo-spectrometry

Figure 10: Flux-calibrated and dereddened photometry. The upper spectrum is dereddened with , and its error bars indicate the wavelength intervals used to fit the temperature. The middle spectrum is dereddened with , which corresponds to the standard average optical extinction of =25 towards the central parsec, assuming the extinction law by Moneti et al. (2001). The lower spectrum is the extinguished, measured spectrum. The black solid lines show the extinguished and dereddened -minimized temperature fit of =410 K.

In Fig. 10, the flux-calibrated spectrum of IRS 3 is shown based on the reduction described in Sect. 2.4. Only the data of best photometric quality and AO correction have been taken into account. The three resulting data sets, observed in July 2004, May 2005, and June 2005, do not show significant photometric variability beyond the general uncertainties. This agrees with the study of flux-variable sources in the GC by Ott et al. (1999), who find no variability for IRS 3.

3.4 Morphological interpretation of the visibility data

Figure 11: Best-fit models of the brightness distribution with a single component model; left panel shows a uniform disc, right panel shows a Gaussian. The angular diameter is indicated.
Figure 12: Best-fit models of the brightness distribution with a two-component model. Up: two uniform disc components; Bottom: two Gaussian components. The error bars are the azimuthally averaged data (Fig. 9, Sect. 3.4.1). In addition, the probed spatial scales are indicated by vertical lines. To the right of each of these lines, the visibility of a Gaussian component of the indicated FWHM would contribute less than 10% of its flux. The dashed line stems from a model adding a third Gaussian of arbitrary size larger than 80 mas and illustrates that up to 40% of the total flux could have been resolved out by the interferometer.

In this section we explain the MIDI data by a model for the brightness distribution, which is as simple as possible, but as complex as needed. Although the results cannot compete with detailed radiative transfer models, they summarize the average order-of-magnitude properties in terms of morphological shape, size, and flux. Such a heuristic model is therefore an important check and starting point for further analysis, discussion, and interpretation of the data (Sect. 4). Thanks to the large multi-wavelength data set, we get a non-trivial model of the dust distribution around IRS 3.

3.4.1 General structure

Following the results of Sect. 3.2, we assume a circularly symmetric brightness distribution, at first of a wavelength-independent size, to derive the general shape of the brightness distribution. The full dataset is shown in a radial uv-plot in Fig. 9. The two simplest, but often applicable, circularly symmetric brightness distributions are a uniform disc and a Gaussian. Figure 11 demonstrates that the visibility moduli cannot be described by such a simple single component. Despite the conservative error estimates, neither model can reproduce the data even approximately.

In contrast, two superposed components of different sizes and flux ratios are sufficient to model the data (Fig. 12). Both two uniform discs and two Gaussians fit the error bars satisfactorily, but the Gaussians are closer to the measured data: the reduced best-fit is about ten times smaller for the two-Gaussian model. Furthermore, the data reduction indicates that the visibility at low uv-radii ( M) is probably overestimated and should be expected to lie in the lower half of the indicated error bars. This would favor a Gaussian shape for the larger component. But as shown by the dashed line in the lower panel of Fig. 12, the intermediate 50 mas spatial scales are relatively loosely constrained to contribute between 20% and 70% of the total flux detected by MIDI. Up to 40% of the total flux could have been resolved out by the interferometer due to the lack of shorter baseline information. Since with the current visibility dataset there are no means to further constrain the outer flux contributions, we stay with the two component model representing the data and outline where further analysis suggest that indeed some source flux could have been resolved out (Sect. 4.3). However, the measured correlated flux at the higher spatial frequencies (the smaller component of the model), which is most important for the further analysis and contributes about one third of the total flux, are not significantly influenced by this uncertainty.

At longer uv-radii the smaller component dominates. A closer coincidence with the data suggests a Gaussian shape for the smaller component, too. But the final distinction between Gaussian and disc shape of the smaller component requires additional data at longer baselines. In the case of a uniform disc, the visibility would increase again around  10 M as indicated by the overplotted model in Fig 12 (upper panel). We investigated the uv-space  12 M with the longest UT-baseline (UT1-4: 130m) without fringe detection. This might support a Gaussian shape for the smaller component. But it is also possible that the visibility increase, indicative of a uniform disc shape of the inner component, was too small to be detected with these long baselines. However, this non-detection at the long baseline supports the primary finding of our source modeling that the spatial scales of the smaller component are also resolved by the VLTI leading to significant constraints on the physical interpretation of the data (Sect. 4).

At this point there is no indication that the two Gaussian components used to represent the data must stand for two physically distinct entities, such as two dust layers of different radii. At the moment they simply appear convenient for describing the data, and the larger Gaussian can be seen as representing the wings of the observed brightness distribution. In the later sections, physical parameters such as flux-calibrated spectra and derived temperatures support the idea of several physical components, but a more complicatedly shaped single structure cannot be completely excluded. In general the situation is similar to analyzing the uv-data of radio-interferometric observations (e.g. of a quasar radio jet in Pott et al., 2005b), where Gaussian components are used to represent mean properties of the observed structure, such as size, flux, and location. To avoid confusion we simply keep referring to the two Gaussians as being two components. This understanding is further supported by the later analysis.

3.4.2 Wavelength dependence

Figure 13: Wavelength-dependent model consisting of two Gaussians. The trends are discussed in the text. Around 10 m, the Gaussians are fitted to the interpolated data points. denote the intensities (in arbitrary units) and the FWHM of the smaller and the larger components, respectively. The flux ratio calculates as . In Sect. 4.5 the physical properties of the inner component are analyzed by RT calculations. The Gaussian parameters have been fitted to the directly measured visibilities in the spatial frequency domain.

The spectroscopically resolved MIDI data allow the investigation of wavelength dependence of the observed brightness distribution. We base this analysis on the two-Gaussian model of the previous section, since it fits the wavelength-averaged data set perfectly. A model-independent analysis of the observed brightness distribution by Fourier-transforming the data (based on the fundamental van Cittert-Zernike theorem of interferometry, e.g. Labeyrie et al., 2006) confirms of our model approach, but the limited spatial frequency coverage hampers further model-independent conclusions from such an analysis. We describe the existing wavelength-dependence of the data in terms of changing sizes and relative flux contributions of the two Gaussians, keeping the comment at the end of the previous section in mind. Furthermore, the change of the fit parameters with wavelength turns out to be reasonably smooth (Fig. 13). This finding backs the application of the wavelength-independent model of Sect. 3.4.1 as a basis for fitting the wavelength dependence.

We fit intensity and size of two superposed Gaussians to the data (Fig. 13). We bin the data to a 0.5 m sampling, using error-weighted visibility averages. The unreliable data around the center of the silicate absorption are interpolated using a -fit of a quadratic curve to the spectral channels of good SNR. In Fig. 6 the individual regions of reliable data are indicated by error bars. The interpolated data are used in the central wavelength interval only, which is devoid of error bars. The respective dependence of the visibilities on the position angle is more visible in Fig. 8.

In Fig. 13 the resulting best-fit parameters are shown. Using -minimization, the uncertainties of the fit are nearly the same as the scatter of the data around the overplotted linear correlations. A slightly larger systematic uncertainty might be introduced by the estimated errors of the individual data points. To address this, we re-fit the data with increased weighting of the three datasets of best photometric quality. The overall trends are similar, but the size of the larger component in the two-component model approach may be underestimated in Fig. 13 by 5-10 mas, which indicates more flux on low spatial frequencies. The FWHM of the smaller component, , may show a slight size-increase with wavelength by about 3 mas, and the flux ratio increases towards the smaller component (). This increased flux ratio can be understood by lower photometric quality, typically decreasing the average visibility due to an imperfect beam overlap. But a decreased visibility means increased relative brightness of the larger component. Thus, probably a few of the data sets of lower photometric quality systematically show visibilities that are too small, thus artificially implying structures that are less concentrated than the real ones (see the bottom curves of the upper and central panel of Fig. 6, which apparently do not follow the visibility trend of the other curves with respect to the baseline lengths).

The most intriguing result is that the smaller component () shows a roughly constant FWHM of about 18 mas, while the larger shows a significant linear size increase with wavelength. This might be an indication that we directly resolve the inner zone of dust formation at all wavelengths, which has a fixed size, and that the dust shell might be carbon-rich (Ivezic & Elitzur, 1996b).

Furthermore, the relative flux contribution of the larger component increases with wavelength, suggesting that the larger component represents the outer, cooler dust around the central object. Again this is a more qualitative statement. The second component stands for the more extended flux of IRS 3, its properties average over the conditions at the outer parts, but a smooth transition between the inner and outer regions around the star cannot be excluded. Temperatures and luminosities of dust on the size scales of both components are derived in Sect. 4.3 based purely on the interferometric data.

4 Discussion

4.1 Interstellar absorption and the composition of the circumstellar absorbing dust

Figure 14: Our VISIR 8.6 m imaging data of a 4” field of view centered on IRS 3. Left: A zoom of Fig. 1. Middle: The diffuse emission with subtracted PSF. Right: The flux-calibrated PSF, i.e. the unresolved emission seen by MIDI. The data reduction is detailed in (Schödel et al., 2007b). All images have the same color coding as indicated at the top and the same contour lines for ease of comparison. The logarithmic contours levels are 1.67 mJy. The integrated flux of the different components is given in the figures. Note that the diffuse flux peaks below 40 mJy/pix.
Figure 15: Zoom of the lower spectrum in Fig. 10 into the wavelength interval of the 11.3 m feature of SiC. The measured data is plotted in (dashed) gray, and the black solid line represents the best-fit extinguished blackbody SED of  K.

Following the most recent published results, we assume a spectral profile of the interstellar absorption towards the GC, as published by Moneti et al. (2001), and an average visual extinction of towards the GC (Scoville et al., 2003; Viehmann et al., 2005). Moneti et al. (2001) incorporated into their model that the mean interstellar dust towards sources in the central 2 pc of the Galaxy shows a relatively stronger silicate absorption than in the solar neighborhood (Roche & Aitken, 1985).

In the NIR no strong local increase in the interstellar extinction towards the region of IRS 3 is found (e.g. most recently confirmed by Schödel et al., 2007a). However, several authors claim additional silicate absorption in the -band only along the line of sight to IRS 3, possibly intrinsic to the source (e.g. Roche & Aitken, 1985; Viehmann et al., 2006).

A first glimpse of the probable location of this additional extinction is given by our high-resolution single-telescope -band imaging with the new VLT/VISIR instrument. In Fig. 14 the complete emission of IRS 3 (left panel), unresolved by earlier imaging, is clearly resolved into a diffuse and a compact component (central and right panels, respectively). Although the total diffuse flux is even larger than the compact flux, its surface brightness is very low and hidden in the noise of all MIDI data due to the shorter integration times. Thus most of the diffuse flux is not included in the single-telescope MIDI photometry (), although it is observed at similar spatial resolution to the VISIR data. Therefore the flux-calibrated MIDI spectrum (Fig. 10) fits the unresolved flux shown in the right panel. The two components, fitted to the interferometric data (including the possible fraction of fully resolved flux; Sect. 3.4) and discussed in the following sections, together make up the unresolved emission in the right panel of Fig. 14, since the single-telescope observations provide an angular resolution of about 250 mas. To clarify the situation, we speak of local, interstellar silicate absorption in addition to the GC average, if the absorbing silicate is located in the dust, which radiates the diffuse emission that is directly visible only in the VISIR data. In contrast, absorption in the inner dust components, resolved by the MIDI flux and visibility estimates, is labeled as intrinsic, circumstellar absorption.

Our MIDI spectro-photometry confirms the existence of a broad 9.8 m silicate absorption feature remaining in the data after correction for standard GC extinction. We show the measured spectrum in Fig. 10 (lower curve). For the dereddening of the spectrum, we used the Cep emission profile of the silicate feature, as realized in the extinction law by Moneti et al. (2001) for lines of sight to the GC. Several authors state that this profile matches both the local ISM absorption and the GC interstellar silicate absorption profile best (although at different relative optical depths; Roche & Aitken, 1984, 1985; Chiar & Tielens, 2006).

Our IRS 3 spectrum of a spectral resolution of shows this coincidence perfectly. We reddened a single blackbody of variable temperature with an absorption spectrum of the normalized shape of the silicate feature seen in emission towards Cep (see Moneti et al., 2001) and a variable optical depth . The shapes of the observed and dereddened spectra coincide with the spectra shown by Roche & Aitken (1985) (Fig. 10). The best -fitted parameters are a blackbody temperature of and . This temperature resembles other band measurements (e.g. Gezari et al., 1985, found a color-temperature of about 400 K), but is below the 800 K derived from and band data (Moultaka et al., 2004). This indicates that a single blackbody may not be appropriate for describing the complete NIR-MIR SED. Although the hotter component, dominating the and band, cannot be resolved against the cooler outer dust shell by the single telescope spectrum or image at 10 m with additional SED information, our interferometric 10 m data alone can resolve it (Sect. 4.3).

Since the center of the absorption feature is hidden in the noise of the background subtraction, a certain level of uncertainty remains in the estimation of , but the spectrophotometric quality of the wings is good enough to exclude . Assuming , this means . This is a remarkable result, since it doubles the silicate MIR optical depth towards IRS 3 with respect to the average of the GC region ( 8-10; Roche & Aitken, 1985), which itself is twice as deep as in the solar neighborhood. This is shown by the middle spectrum in Fig. 10, which is the measured spectrum corrected for standard GC values of extinction ( and ). The remaining silicate absorption is obvious. The aforementioned authors quantify for the first time an extra 0.8 for IRS 3 in addition to already enhanced the GC-average. Although the spectral resolution of both datasets is comparable, the spatial resolution of the MIDI photometry data666which is the VLT 10 m resolution of  mas, not the interferometric resolution is increased by at least an order of magnitude.

In addition, at 11.3 m a significant drop in the data below the fit is suggested (Fig. 15), even on the logarithmic scale shown in Fig. 10. This further absorption feature, in addition to the dominating broad silicate absorption, can be attributed to SiC, which peaks around 11.3 m and has a much narrower spectral width than the interstellar silicate feature. If we exclude the data from the wavelength region around 11.3 m for the minimization, the discrepancy between data and fit around the center of the SiC feature becomes even stronger, although the fitted temperature and remain constant in the given interval of uncertainties. This further supports the existence of a SiC absorption feature towards IRS 3, but the sampling of the applied extinction law, which does not contain the SiC feature, is with 0.5 m at MIR wavelengths not high enough to properly sample the SiC feature. The kink of the blackbody fit at 11.5 m is probably an artificial feature. Thus a definitive answer regarding the existence of absorbing SiC cannot be given.

Arguments against an intrinsic silicate absorption in the immediate circumstellar dusty environment of IRS 3, which could be evoked by a deep O-rich dust shell, are:

  • Most silicate-rich dust shells show the silicate feature in emission. Similarly the SiC feature is typically found in emission in the dust shells of evolved stars. Since our estimated optical depth is already very deep, an even larger amount of absorbing dust would be necessary to overcome the circumstellar emission and result in such strong features as observed.

  • The spectral shape of the observed silicate absorption coincides perfectly with the interstellar absorption features. No indications of circumstellar crystalline silicates are found, although spectroscopic data with higher SNR and spectral resolution covering the full band are needed to investigate the spectral shape in more detail.

Thus a circumstellar dust shell free of a significant amount of silicates appears to be a reasonable assumption for the immediate environment of IRS 3. This is confirmed by our visibility data, which do not show any spectral feature coinciding with the broad shape of the 9.8-silicate feature at any baseline length.

Such a lack of an intrinsic, circumstellar silicate-rich dust shell and the deep interstellar silicate absorption would favor the bright IRS 3 to be the primary target for estimating the true spectral shape of the interstellar absorption in the band towards central GC sources at the high spatial and spectral resolution now available at ground-based 8 m class telescopes.

4.2 Dust temperatures from the spectral energy distribution

Figure 16: SED temperature fit (solid line) as the superposition of two spatially unresolved blackbody SED (dashed lines). The dotted line close to the cooler and presumably larger component shows a blackbody SED of  K, which was fitted to the -band spectrum alone (Sect. 4.1). The possible bolometric flux ratio range is given in the plot. Data are taken from Viehmann et al. (2005, , , , bands) and Viehmann et al. (2006, band) and corrected (see text). The band data was taken from our MIDI observations at 8 and 13 micron, outside the silicate absorption feature. The data was extinction-corrected for =25.

The MIR regime is dominated by thermal dust emission. We have shown in the previous section that the band spectrum of IRS 3 can be fitted convincingly by a single reddened blackbody. But published studies of stellar dust shells show that the full infrared photometric information is required to describe the optical and physical properties of the shells. Accordingly, we investigated the complete infrared wavelength range from 1.6-20 m, available at a spatial resolution sufficient for distinguishing IRS 3 from other sources. The corresponding dereddened SED is shown in Fig. 16. The bolometric flux ratio indicated in the figure is better constrained by the MIDI visibility estimates (Sect. 4.3).

A second star close to IRS 3 has recently been classified as a Wolf-Rayet star (Paumard et al., 2006). It is unresolved in the published medium-resolution NACO data (Viehmann et al., 2005), but we confirm this secondary star on high-resolution NACO images, showing about 30% and less than 10% of the IRS 3 - and -band fluxes, respectively. For our SED fit in Fig. 16 we used the accordingly reduced published magnitude. Since the companion is located about 120 mas east of IRS 3, its MIR flux could also contribute to the MIDI data. But a significant contribution should show up as a binary pattern in the visibility data (Sect. 4.4), which was not observed. Thus we assume negligible contamination of the flux of IRS 3 longward of 2 m by the WR-star, which is further supported by the bluer NIR SED of the secondary as measured with NACO and expected for a hot WR.

To account for the uncertainties in the amount of interstellar silicate absorption towards IRS 3 (Sect. 4.1), we used only the MIDI fluxes at 8 and 13 m outside the 9.8 m absorption feature for the MIR-SED. All data were dereddened with the Moneti extinction law scaled to =25. As for the -band, a broad interstellar silicate absorption feature is located in the band. At 20 m, only narrow-band photometry inside the silicate absorption was available. We dereddened this -band data by an optical depth of , which is derived from scaling the interstellar extinction law to fit our measured enhanced towards IRS 3, exceeding the average GC values. At least the plotted SED data for m should be free of any significant flux contribution of the diffuse VISIR component, because of its low surface brightness (Sect. 4.1) and presumably cool temperature. Only the VISIR -band data may contain a fraction of the diffuse flux; although similar to the MIDI spectra, these -band data do not reach the low noise level of the 8.6 m VISIR imaging data.

We successfully fit the extinction-corrected SED with two blackbody spectra. The lower temperature, which we attribute to the outer component ( K), coincides with the single blackbody temperature fitted to the band spectrum alone (Sect.4.1). This single blackbody SED is overplotted in Fig. 16, which shows immediately that for m additional flux by hotter dust is required to explain the measured infrared SED. This is consistent with the findings of Moultaka et al. (2004), who fitted a blackbody temperature of 800 K to their 2-4 m data. That hotter dust emission appears at shorter wavelengths limits the optical depth of the outer cooler dust, assuming that the hotter dust is located inside the cooler dust (see also Sect. 4.3). The calibration of the band emission, apparently too faint to fit the model, was very difficult and the deviations can be fully attributed to calibration errors (Viehmann, priv. communication) including the uncertain amount of interstellar silicate extinction in that band.

We can state, summarizing these considerations, that no further blackbody component is needed to model the full near- and mid-infrared SED. In particular this excludes any significant stellar contribution to the NIR fluxes of the SED, emerging from IRS 3 itself or a second star inside the PSF. This leads to two possible interpretations: either the inner and hotter dust component is optically thick at NIR wavelengths avoiding any direct detection of stellar light or the enshrouded star has a very hot continuum emission. The absence of any stellar photospheric lines in NIR spectra of IRS 3 (Tanner et al., 2006) supports the optical thickness of the circumstellar dust at these wavelengths.

4.3 Dust temperatures from the interferometric data

Properties Inner (20 mas) Outer (50 mas)
m 13 m m 13 m
35 32 21..55 25..66
18 18 40 55
(610180) (460100)
(830120) (480..63070)
           (1020210)            (400..58090)
Table 4: Temperatures from the band MIDI data based on size and relative flux estimates of the two-Gaussian model and of the outer dust.

In contrast to the previous section, here we present a derivation of temperatures from the spatially resolved MIDI observations in MIR as a further step in interpreting this (and similar) interferometric data.

The simplest morphological interpretation of the data consists of two circular symmetric Gaussian components enshrouding the same central object (Sect. 3.4). One-dimensional radiative transfer calculations confirm bell-shaped brightness distributions of circumstellar dust shells (Ivezic & Elitzur, 1996b). That we can distinguish at least two dust components suggests the outer one is optically thin in the respective wavelengths range and physically separated. That is, the observed total flux constitutes of the sum of the flux of both components, adjusted by the optical depth . From the observed total fluxes and flux ratios, we calculate the component fluxes as

(5)

where is the total dereddened flux (Sect. 4.1), the flux ratio between the inner and the outer dust shells as observed, and are the intrinsic flux densities corrected for the optical depth. All measurable quantities in Eq. 5 are supposed to be wavelength-dependent. In other sections we present strong indications that the absorbing silicate is not located in the inner circumstellar dust (Sect. 4.2 & 4.5). Nevertheless, here we confine the calculation to the edges of the band outside the silicate feature to minimize the possible corruption of the results by faulty correction for the interstellar extinction.

In Table 4 the component fluxes and FWHM-sizes for the two-Gaussian model of Sect. 3.4 and the temperatures derived here are given: is the brightness temperature of a spherical blackbody of radius at GC distance emitting the observed flux, and the blackbody color temperature derived solely from the 8-13 m color of each component. We corrected both component fluxes for an optical depth of the outer shell of . Since typically the optical depths at 8 and 13 m are comparable, the color temperature does not change with .

Furthermore, RT calculations of spherical dust shells as used in Sect. 4.5 indicate that a black body spectrum of often convincingly fits the MIR total spectrum of a dust embedded star, particularly well for carbon-rich dust shells. But the respective of such models, calculated again with a Gaussian brightness distribution approximation, is often significantly higher than of the same RT model. This is in line with the findings presented in Table 4 showing that the temperatures derived here only give general trends and temperature ranges without imposing tight constraints on the physical temperature.

We find:

  • A reasonable increase in of the inner component with respect to the outer one. This coincides perfectly with the analysis of the infrared SED in the previous section. The MIR-interferometric data alone show the inner, hotter dust component in contrast to spatially unresolved band photometry. But the physical properties of the inner dust are better confined by the complete IR-SED and by more detailed radiative transfer calculations (Sect.4.5)

  • Physically reasonable temperatures can only be obtained with an optical depth of due to the outer dust in addition to the known interstellar extinction . This backs the large discussed earlier found towards IRS 3 but suggests at the same time that this additional silicate absorption does not occur in the innermost circumstellar dust.

  • Constraining the optical depth is also important for deriving the intrinsic luminosity of only from the inner component fluxes. This luminosity is slightly higher than earlier estimates (Becklin et al., 1978) that were based solely on spatially unresolved -band photometry. Thus it can now be excluded that any additional source outside the central 20 mas significantly contributes to the flux and heating of the dust around IRS 3, a finding confirmed in the next section.

4.4 Circular symmetry

Figure 17: Visibility patterns for a 120 mas east-west binary at several uv-radii. The individual components are not resolved.

In their spectroscopic survey of the central cluster, Paumard et al. (2006) classify the star IRS 3E, only 120 mas east of IRS 3, as a Wolf-Rayet star of type WC 5/6. Since Wolf-Rayet stars of this spectral type are known to be (often strong) dust formers, it is possible that IRS 3E is still visible in the band. Additionally its spectral classification as a carbon-rich WC-star does not conflict with our interpretation of the spectral data in terms of a lack of silicate emission.

The visibility pattern of such a binary system with 120 mas separation and east-west orientation is shown in Fig. 17 for several . The shown pattern has been calculated for two stars of equal brightness, and both are individually unresolved by the interferometer. IRS 3 is resolved by MIDI, which would decrease the amplitude of the variation shown in Fig. 17, but the variation per is defined by the binary separation only; i.e., the imprint of a 120 mas binary system should show several ripples over 180 rotation, which cannot be confirmed with our data (Fig. 8). Furthermore, we did not observe neither photometric variability beyond the calibration uncertainties (Sect. 3.3) or any non-zero differential phases (Sect. 3.2).

The simplest deviation from circular symmetry is an elliptical morphology or, more generally, a brightness distribution of different apparent extension in orthogonal directions. The analysis of Fig. 8 allows such an interpretation: Towards = 120  the measured visibilities appear to be slightly lower than in orthogonal direction, necessitating a larger extension of the brightness distribution in this direction. Such a lateral contraction could be evoked by the strong stellar wind of a nearby star, but more probably this deviation from circular symmetry can be attributed to a wavelength dependent size (cf. Sect. 3.2).

4.5 Radiative transfer models

The Gaussian model analysis of the data demonstrated that the interferometer resolves the inner dust around IRS 3. Thus we apply a physically self-consistent radiative transfer (RT) model here to further investigate the physical and chemical properties of the inner dust around IRS 3 addressed before by the smaller of the two Gaussians.

Because of the circular symmetry of the source, we use the one-dimensional code Dusty (Ivezic et al., 1999). Since IRS 3 appears to be very luminous, isolated, and surrounded by a lot of dust, it is the most reasonable to assume that IRS 3 is a post main-sequence star with strong stellar winds and massive dust formation. We followed a heuristic approach and calculated four distinct scenarios spanning the space of possible stellar parameters: hot and cold, realized by stellar effective temperatures of K and K; C-rich with C/O abundance ratios beyond 1, realized by a domination of amorphous carbon grains in the circumstellar dust and O-rich with a dust composition dominated by warm amorphous silicates.

We applied radial density profiles dominated by radiation pressure of the star (Ivezic & Elitzur, 1995). While the chemical composition and temperatures of the dust strongly influences the infrared spectrum, the stellar effective temperature , and luminosity scale the physical size of the system in dependence on , the temperature of the sublimation zone, where dust distribution starts. For the grain size distribution we used a power-law distribution as published by Mathis et al. (1977) and an upper limit on the grain size of m, which was successfully applied in similar experiments.

To demonstrate the different constraints imposed by the data we present our results in two parts. First the measured SED can be related to the optical depth of the dust and to the temperature at the inner boundary of the dust shell. In the next step the remaining ambiguities regarding the stellar temperature and dust composition can be scrutinized further by comparing calculated visibilities of the RT models to the MIDI data.

4.5.1 Modeling the spectral energy distribution

Figure 18: Data equal to the one in Fig. 16, but further corrected to match the intrinsic emission of IRS 3 and its surrounding circumstellar dust shell. The corrections are discussed in the text, and lead to the following intrinsic fluxes: 0.05, 0.5, 13.5, 30, 50, 46, 7.0 Jy at 1.6, 2.1, 3.8, 4.7, 8, 13, 19 m. The best RT model SED were overplotted, the respective optical depths are 0.4 for both C-rich models and 1.6, and 1.3 for the cold and hot star oxygen-dominated models, respectively.

This part is aggravated by the fact that IRS 3 is observed both through a large amount of interstellar extinction towards the GC and through the local (partly diffuse) dust of non-negligible optical depth at MIR wavelengths as shown in earlier sections. Some uncertainty derives from the fact that the shape of the interstellar extinction only at wavelengths shorter than 8 m is well observed and shown to be relatively constant throughout the Galaxy (Indebetouw et al., 2005). In addition we do not know the exact dust composition and resulting shape of the interstellar extinction at MIR wavelengths within the central parsec and around IRS 3 in particular. Thus the dereddened SED as the basis of this section is expected to create uncertainties on the order of magnitude of tens of percent in flux.

This naturally affects the accuracy of the estimation of and , which both determine the shape of the intrinsic SED. Similarly we cannot meaningfully investigate the gradual importance of secondary ingoing parameters like the density profile, chemistry (e.g. existence and amount of SiC, crystalline olivines), etc. These parameters cannot be fine-tuned unambiguously by comparison with the dereddened stellar spectrum, so fixed standard values are used.

Since the relative depth of the interstellar silicate absorption is unclear, we excluded the data around 9.8 m for the SED fits and used only data at the edges of the -band. In addition we corrected the SED for using only 40, 30, and 20 % at 8, 13, and 19 m of the single telescope flux making allowance for the found interferometric flux ratios, thereby eliminating the emissive contributions from the outer cooler dust. Furthermore, we increased the optical depth at m beyond the seen at NIR wavelengths to account for the extinction caused by the outer flux seen by the interferometer (Sect. 4.3). This is realized by upscaling the assumed shape of the interstellar extinction towards the GC (Moneti et al., 2001) to match at m an additional 0.5 (Table 4). This opacity would already explain at least half the excess (Fig. 10) if the same interstellar GC extinction shape would again be used for the outer dust addressed by the larger Gaussian in our simple two-component model. It is conceivable that, by confining this correction to m, we slightly underestimate the dereddened fluxes at shorter wavelengths, which should also be affected by the outer dust.

The remainig excess extinction at 9.8 m could stem from either fractionally enhanced silicate dust in the central parsec in general or in the outer and (partially diffuse) dust around IRS 3 only. In the next section we aim at investigating whether this remaining excess towards IRS 3 could originate from the inner dust at 20 mas scales and is thus produced in an oxygen-rich dust shell. Finding the latter would suggest IRS 3 to contribute to its possibly silicate-enriched environs.

We decided to fix for all models at a typical value for subliming dust of 1200 K. Tests show that by varying this by up to 300 K, we still reproduce the earlier dust temperature findings and generate model SEDs with deviations from the data that can easily be explained by slightly varying the optical depth in the outer dust of the stellar surrounding. However, sublimation temperatures well below 900 K can be excluded. Furthermore, the optical depth needed to create model SED that comply with the data is not negligible. This in turn enables us to scrutinize the dust composition in the next section since the different optical properties of carbon and oxygen-rich dust show stronger impact in the case of higher optical depths.

The probed optical depth range covered two orders of magnitude (). The best-fit SED models under the given assumptions are shown in Fig. 18. The main results can be summarized as follows:

  • the O-rich SEDs show much poorer coincidence with the dereddened data at longer wavelengths;

  • the MIR optical depth of the O-rich models is with even outside the silicate feature that significantly larger than for C-rich dust (); this is the only finding that would comply with a scenario in which the excess originates in the innermost dust;

  • the photometry data alone can be fitted convincingly by single-shell dust models, and for each dust chemistry both hot and cold star models show fits of similar goodness

4.5.2 Modeling the visibilities

Figure 19: Measured visibilities on the edges of the -band outside the silicate feature. The data at 13 m are highlighted by stars. The respective visibilities of RT models plus outer Gaussian (see text) are overplotted as indicated. Quantitative details of the RT models are given in Table 5
Figure 20: Measured visibilities at 11.5 m in the wing of the silicate feature. The best cool star RT models plus Gaussian are overplotted, and the dotted lines represent the models at 11.5 m. While the C-rich model at 11.5 m lies between the model visibilities at 8 and 13 m, as does the data, the O-rich visibilities at 11.5 m are lower than ones on the edge of the -band at similar baseline lengths.
Figure 21: Comparison of the -band optical depth of cool star models showing the significant change in optical depth along the silicate features of O-rich dust.
Figure 22: Mean -band surface brightness distribution of our cool carbon star model of IRS 3. The inner rim, the dust sublimation zone, is visible as an annulus and resolved by fitting the RT model to our MIDI data. At the bottom the radial profile of the respective image is shown, and the image and radial plot are equally scaled logarithmically.
888 denotes the stellar effective temperature 999 is the dust temperature at the sublimation zone, visible as ring of radius in Fig. 22. Comp. 101010 is the size ratio of the stellar and dust sublimation radius . 111111 labels the bolometric luminosity of the embedded star.
kK kK AU/mas/
3 1.2 amC 121212100% amorphous Carbon grains (Hanner, 1988) 0.8,0.6,0.4 35/5/10 5
3 1.2 Sil 131313100% warm amorphous silicate grains (Ossenkopf et al., 1992) 1,6,1.7 40/5/10 5
25 1.2 amC 12 0.8,0.6,0.4 60/8/1,000 5
25 1.2 Sil 13 0.8,4.9,1.3 115/15/2,000 5
Table 5: Best parameters of the RT models, shown in Fig. 18 - 22. The dust shell was confined to end at a radius of .

Similar to the flux correction in Sect. 4.5.1 we have to alter the theoretical visibilities of our RT models here to account for the outer flux probed predominantly by the short baselines prior to comparing the model to the data. To conform this correction to the findings of the previous sections, we add to the respective RT model a Gaussian component of twice the RT model flux and of FWHM of 35, and 45 mas at 8, and 13 m, respectively. Again these parameters reflect average properties of the dust emission at lower spatial frequencies and are variable within the ranges implied by the findings of Sect. 3.4.

With the given data it remains unclear how much of the outer flux is indeed present in a second shell at the 40 mas spatial scale and how close this dust emission resembles a Gaussian brightness distribution. The apparent existence of such a second component might be an artefact of our relatively simple RT models. Similar apparently multi-component dust shells around the well-studied cool carbon star IRC+10216 could be resolved into one complex dust shell by more detailed modeling (e.g. Ivezic & Elitzur, 1996a; Men’shchikov et al., 2001). But it was demonstrated that our approach reflects the data and the spatial information therein. Moreover, the spectral shape of the higher spatial frequencies of the innermost dust discussed here is not significantly influenced by this outer dust. A variable mass loss rate of the central star might be responsible for our not observing a simple dust morphology that could be explained by a single simple dust shell alone.

Further it is important to understand that any wavelength-dependent interstellar extinction only decreases the flux but not the flux-normalized visibility, implying that the following results are less affected by the uncertainty in the interstellar MIR extinction along the line of sight to IRS 3.

The investigation of the four best model scenarios fitted to the dereddened SED lead to two important results. First the aforementioned ambiguity of is probed by our interferometric data. The of hot stars with the assumed tend to be too large implying visibilities too low to model the measurements (Fig. 19 & Table 5). Increased could alleviate this size problem of the hot star models, and the described uncertainties in the derivation of the intrinsic fluxes and visibilities of IRS 3, as well as the scatter in the data, prohibit a definite answer for the stellar temperature. But the comparison of the fitted dust sublimation radii (Table 5) with the simple Gaussian analysis in Sect. 3.4 also favors the cool star models since such Gaussian fits tend to show FWHM twice as large as the sublimation diameter of respective RT models (Ivezic & Elitzur, 1996b). And dust sublimation radii of 30-40 AU with stellar luminosities of found for the cool star models are common values for dust-forming AGB stars. Thus for the first time we can present an experimental indication of the exclusion of WR-like hot star scenarii for IRS 3.

The second result of this section rules out silicates as a dominating constituent of the circumstellar dust shell. The calculated visibilities of the competing O-rich and C-rich dust compositions are rather similar at 8 and 13 m, far away from the central silicate absorption, although already here the smaller size difference of the C-rich models between both wavelengths are closer to the wavelength dependence of the data (Fig. 19 & 20). However, towards the center of the silicate feature, the apparent source size of O-rich dust shells increases significantly due to the increase in optical depth (Fig. 21). Figure 20 shows that this effect is still visible at 11.5 m where we have precise visibility measurements. A significant size increase (and visibility drop) at the wings of the silicate feature as predicated by all O-rich dust-shell models that are close to our data has not been observed. Actually the visibility data do not reveal any clear spectral feature but instead shows a smooth wavelength dependence within the calibration uncertainties (Fig. 6).

Summarizing the RT analysis of our data, the most probable scenario for the nature of IRS 3 is a cool dust-forming carbon star. In Fig. 22 we have plotted a mean -band brightness distribution of our best-fit, C-rich cool star model. The inner rim of dust sublimation, resolved by our interferometric experiment, is clearly visible at a radius of 5 mas in the brightness map. The estimated stellar luminosity (Table 5) points to a cool carbon star on the AGB. Recent studies of carbon stars find similar stellar and circumstellar dust properties (Groenewegen, 1995). The reasonable assumption of a stellar wind driven dust density distribution, valid for windy post-main sequence stars, enables us to calculate the mass loss , terminal outflow velocity , and an upper limit on the stellar mass (Ivezic & Elitzur, 1996a). We obtain the following results for the carbon-rich cool star set of parameters (cf. Table 5), which describes the observations best:

(6)

The calculations are based on a gas-to-dust mass ratio of 200 and a dust grain bulk density of 3 g cm. The inherent uncertainties are discussed by Ivezic et al. (1999).

The respective optical depth of the carbon-rich dust shell in the NIR is , confirming that the circumstellar dust is optically thick in the NIR, as already suggested by the analysis of the spatially unresolved SED (Sect. 4.2). Thus photospheric CO bandheads, typical of red giant NIR spectra, cannot be observed, which explains the impossibility of spectral classification of the central object as described by many authors (most recently Tanner et al., 2006).

5 Conclusions

We have presented new high-resolution 10 m data of the enigmatic IRS 3 object in the immediate vicinity of SgrA*. The analysis and interpretation of the data contribute to the understanding of both the nature of the embedded star and the location of the unusually strong interstellar silicate absorption towards IRS 3. The new high-resolution VISIR imaging data clearly resolve IRS 3 into both a compact and a diffuse emission component for the first time. Most probably the deep 10 m silicate absorption feature towards IRS 3 takes place partially in the local interstellar dust, which is responsible for the substantial diffuse MIR emission.

The interferometric data bear convincing evidence that IRS 3 is a cool star within a carbon-rich dust-shell without significant circumstellar silicate absorption. The clear imprint in the circularly symmetric interferometric data of the existence of more extended circumstellar dust was shown. A one-dimensional radiative transfer model can successfully explain the complete, available near and mid infrared data, spatially unresolved by single telescope measurements, if outer dust emission on 40 mas scales and beyond and non-negligible additional optical depth is accounted for. We estimate a radius of 35 AU and a temperature of K for the inner dust rim around IRS 3.

With a bolometric luminosity of 5  and a stellar temperature of about 3000 K IRS 3 appears to be a cool luminous carbon star, most probably in the helium-core burning phase. Such mass-losing stars are important for enriching their environment. Only because of the high angular resolution of the interferometer could we demonstrate that a large fraction of the dust is produced by IRS 3 itself, whereas most other MIR bright sources in the central parsec have been shown to heat the surrounding interstellar dust that has already formed (Tanner et al., 2005; Pott et al., 2006). Thus IRS 3 appears to be the prime candidate for observing ongoing dust formation in the immediate vicinity of a supermassive black hole.

In addition to the interstellar silicate absorption, we found indications of SiC absorption. For the first time the new generation of MIR spectrometers at 8m class telescopes offer the possibility of studying in detail the spectral properties of the interstellar absorption towards GC stars at angular resolution high enough to account for source confusion and substantial diffuse emission in this outstandingly dense and dusty region. Since a C-rich circumstellar dust shell is free of any silicate feature and IRS 3 is embedded in an exceptionally large amount of ISM, the resulting deep absorption of the smooth background continuum of IRS 3 appears well-suited to studying the shape of the interstellar absorption towards the GC and the extraordinary strength of the silicate absorption feature in more detail. The absorption profile depends on the chemical composition and is needed to accurately correct for the ISM extinction, yielding the intrinsic spectra of all GC sources.

On the basis of our results we propose to grant IRS 3 a central role in such new studies of the interstellar silicate absorption towards the GC. Furthermore, a longterm MIR variability study is proposed to investigate periodical dust formation around IRS 3, suggested by this complex dust morphology.

Acknowledgements.
We are grateful for many fruitful discussions with A. Zijlstra and several members of the MIDI consortium, in particular W. Jaffe, R. Köhler, C. Leinert, and T. Ratzka. Detailed comments from the referee helped to make the paper clearer. The outstanding support of the ESO Paranal VLTI team, guaranteeing efficient technically advanced observations, is acknowledged. This research has made use of the SIMBAD database, operated at the CDS, Strasbourg, France. Part of this work was supported by the German Deutsche Forschungsgemeinschaft (DFG via SFB 494). JUP was funded by an ESO studentship and appreciates the hospitality of the UCLA GC group.

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