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DUST IN THE POLAR REGION AS A MAJOR CONTRIBUTOR TO THE INFRARED EMISSION OF ACTIVE GALACTIC NUCLEI

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Published 2013 June 20 © 2013. The American Astronomical Society. All rights reserved.
, , Citation S. F. Hönig et al 2013 ApJ 771 87 DOI 10.1088/0004-637X/771/2/87

0004-637X/771/2/87

ABSTRACT

Dust around active galactic nuclei (AGNs) is distributed over a wide range of spatial scales and can be observed in the infrared (IR). It is generally assumed that the distribution on parsec scales forms a geometrically and optically thick entity in the equatorial plane around the accretion disk and broad-line region—dubbed "dust torus"—that emits the bulk of the subarcsecond-scale IR emission and gives rise to orientation-dependent obscuration. However, recent IR interferometry studies with unprecedented position angle (P.A.) and baseline coverage on these small scales in two obscured (type 2) AGNs have revealed that the majority of the mid-IR emission in these objects is elongated in the polar direction. These observations are difficult to reconcile with the standard interpretation that most of the parsec-scale mid-IR emission in AGNs originate from the torus and challenges the justification of using simple torus models to model the broadband IR emission. Here, we report detailed interferometry observations of the unobscured (type 1) AGN in NGC 3783 that allow us to constrain the size, elongation, and direction of the mid-IR emission with high accuracy. The mid-IR emission is characterized by a strong elongation toward position angle P.A. −52°, closely aligned with the polar axis (P.A. −45°). We determine half-light radii along the major and minor axes at 12.5 μm of (20.0 ± 3.0) mas × (6.7 ± 1.0) mas or (4.23 ± 0.63) pc × (1.42 ± 0.21) pc, which corresponds to intrinsically scaled sizes of (69.4 ± 10.8) rin× (23.3 ± 3.5) rin for the inner dust radius of rin = 0.061 pc as inferred from near-IR reverberation mapping. This implies an axis ratio of 3:1, with about 60%–90% of the 8–13 μm emission associated with the polar-elongated component. It is quite likely that the hot-dust emission as recently resolved by near-IR interferometry is misaligned with the mid-IR emitting source, which also finds a correspondence in the two distinct 3–5 μm and 20 μm bumps seen in the high angular resolution spectral energy distribution (SED). Based on this SED, we determine covering factors for the hot and warm dust components of $C_\mathrm{hot} = 0.42^{+0.42}_{-0.21}$ and $C_\mathrm{warm} = 0.92^{+0.92}_{-0.46}$, respectively. We conclude that these observations support a scenario where the majority of the mid-IR emission in Seyfert AGNs originate from a dusty wind in the polar region of the AGN.

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1. INTRODUCTION

The mid-infrared (mid-IR) emission in radio-quiet active galactic nuclei (AGNs) is associated with thermal emission from dust at parsec-scale distances from the central supermassive black hole. Due to the presence of an optically thick obscuring medium in the equatorial plane of the AGN (commonly dubbed the "torus"), the current paradigm suggests that the IR-emitting dust is the same medium as the obscuring material. This is reflected by the widespread use of torus models in order to reproduce IR spectral energy distributions (SEDs).

A number of nearby Seyfert galaxies have been shown to have significant amount of mid-IR emission extended in the polar region of the AGN on large scales of 100 pc (e.g., Bock et al. 2000; Packham et al. 2005; Hönig et al. 2010; Reunanen et al. 2010). More recently, mid-IR interferometry showed that in two well-studied type 2 AGNs (Circinus and NGC 424), this polar elongation is also present on parsec scales (Tristram et al. 2012; Hönig et al. 2012), and that the polar region contributes a significant fraction (≳ 50%) to the total mid-IR AGN emission. It is currently unclear if this feature is consistent with simple torus models (see discussion in Hönig et al. 2012). Most current radiative transfer models for AGN tori assume an ad hoc dust distribution that flares toward larger distances, commonly with scale heights of order unity. As such the dust distribution can be considered a single entity with the majority of the dust mass located close to the equatorial plane. The brightness distribution of these models usually predicts circular mid-IR emission or elongations along the torus mid-plane (e.g., Granato et al. 1997; Schartmann et al. 2005, 2008; Hönig et al. 2006; Hönig & Kishimoto 2010; Stalevski et al. 2012; Heymann & Siebenmorgen 2012). However, such equatorial torus emission is only detected in cases where the emission from the polar region can be resolved out and an additional compact component is resolved, as in the Circinus galaxy and NGC 1068 (Tristram et al. 2007; Raban et al. 2009). Torus models that are capable of reproducing the equatorial component do not show a significant polar component (e.g., Hönig et al. 2006, 2008).

We recently proposed a dusty wind scenario that may qualitatively explain the polar-extended mid-IR emission seen on parsec scales (Hönig et al. 2012). In this picture, a mostly optically thin dusty wind is launched from the hottest and inner region of an optically thick dusty disk. While the inner, hot part of this disk may be puffed up and provide the obscuring properties associated with the classical torus on the sub-parsec level, the dusty wind extends in the polar direction over parsecs or even tens of parsecs. Accordingly, the single-telescope mid-IR emission is primarily originating from the polar wind, and the puffed-up inner disk emits the bulk of the near-IR emission. Although (magneto-)hydrodynamically driven disk winds have been proposed in literature as a possible mechanism to obtain geometrically thick obscuration (e.g., Emmering et al. 1992; Königl & Kartje 1994; Elvis 2000), it is unclear if such a process would also be effective to explain the dust on up to 100 pc scales in the polar region as seen in some AGNs (see previous paragraph). In Hönig et al. (2012), we propose radiation pressure on dust as a potential alternative mechanism, which may be supported by a possible luminosity dependence of the polar component as reported in Kishimoto et al. (2013; see also Kishimoto et al. 2011b). Crucial tests for this scenario are (1) that the polar-extended emission is generic and frequently detected in Seyfert galaxies, and (2) that the near-IR and mid-IR are actually distinct emission regions. Owing to the small spatial scales at which the near- and mid-IR radiation is emitted, IR interferometry is the only way to directly probe how the dust is distributed on parsec scales around an AGN.

The current interferometric results pose a potential challenge to the paradigm that the mid-IR emission of AGN predominantly originates from the torus. The key to distinguish between torus and dusty wind is a detection of the elongation of the parsec-scaled mid-IR emission and its detailed characterization, for which a dense coverage of interferometric uv-plane (i.e., observations at many position angles (P.A.s) and baseline lengths) is required. To date suitable data are only available for Circinus and NGC 424, two Seyfert 2 AGNs. In this paper, we present new interferometry observations of the type 1 AGN in NGC 3783 to constrain the P.A. dependence of the mid-IR brightness distribution. Observing a type 1 instead of a type 2 AGN has the advantage that possible obscuration/extinction effects are avoided. A small set of mid-IR interferometric observations of this source have already been analyzed (Beckert et al. 2008; Kishimoto et al. 2009b, 2011b), but the uv coverage did not allow for a detailed study of the shape of the mid-IR emission. Here, we present a total of 41 independent data sets covering essentially the full uv-plane in P.A.

In Section 2, we describe our interferometric data set that have been taken during several observing campaigns at the Very Large Telescope Interferometer (VLTI) between 2005 and 2012. Following this, we present the results and complement the mid-IR interferometry with a high angular resolution IR SED and near-IR interferometry from literature. All data have been modeled in Section 4, and implications are discussed in Section 5. Finally, our results are summarized in Section 6.

2. OBSERVATIONS AND DATA REDUCTION

We carried out interferometric observations spread over several runs in 2005, 2009, 2011, and 2012 using the mid-IR beam combiner MIDI at the VLTI in Chile. This instrument allows for spectrointerferometric observations in the mid-IR wave band from 8 to 13 μm. We used all possible pairwise combinations of the four 8 m telescopes, resulting in a well-covered accessible uv plane, as shown in Figure 1. The uv plane is plotted as projected on the sky to allow for an easy comparison with P.A.s. While the shorter baselines of up to 60 m cover all quadrants, the longer baselines are oriented preferentially in the NE/SW direction, in line with the location of the UT telescopes at the observatory. This causes a non-circular beam shape that has to be taken into account when analyzing the data.

Figure 1.

Figure 1. uv-plane coverage (on-sky orientation) of the mid-IR interferometric observations of NGC 3783. North is up, east is left. The different colors represent the various observing runs in 2005 May (green), 2009 March and May (light blue), 2011 April (red), and 2012 February to June (violet).

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The data have been extracted by the standard MIA+EWS package developed for MIDI. Reduction and calibration were performed using the signal-to-noise ratio (S/N) maximization method as described in Kishimoto et al. (2011b). Each individual fringe-track data set and a dedicated interferometric calibrator star have been reduced together to determine the required smoothing of the calibrator data and achieve the best S/N of the correlated fluxes. During all observing campaigns, we observed the same four calibrators near NGC 3783 (HD101666, HD112213, HD100407, and HD102964). Cross-calibration between these calibrators (see also Table 1), some observed several times during one night as well as constantly over the different campaigns, showed that they remained essentially constant (limit on total flux change ∼5%) over the time span from 2009 to 2012.

Table 1. Observation Log and Data Properties

Observing Date Telescopes PBL P.A. Calibrator Max.
(UT) (m) (deg) S/N
2005 May 28 03:50 U1–U2 43.5 45.5 HD100407 5.8
2005 May 31 03:11 U2–U4 66.8 117.1 HD100407 3.7
2009 Mar 13 03:26 U3–U4 57.9 97.4 HD101666 3.8
2009 Mar 13 04:32 U3–U4 61.3 105.5 HD101666 4.5
2009 Mar 14 03:43 U1–U3 102.1 24.0 HD100407 2.9
2009 Mar 14 04:41 U1–U3 100.9 31.6 HD100407 4.4
2009 Mar 15 01:53 U1–U2 56.5 3.1 HD100407 4.4
2009 Mar 15 02:48 U1–U2 56.4 11.0 HD102964 4.6
2009 Mar 15 03:38 U1–U2 56.2 17.6 HD102964 6.4
2009 Mar 15 04:23 U1–U2 55.8 23.6 HD101666 5.7
2009 May 11 03:31 U1–U4 108.3 80.4 HD112213 3.7
2009 May 11 23:26 U1–U4 128.7 46.1 HD112213 4.2
2011 Apr 14 04:09 U1–U3 96.1 41.4 HD101666 3.0
2011 Apr 15 03:18 U2–U3 45.3 44.4 HD101666 4.7
2011 Apr 15 04:18 U2–U3 43.0 50.9 HD100407 3.8
2011 Apr 15 05:48 U2–U3 37.1 58.9 HD100407 3.9
2011 Apr 16 00:26 U1–U4 125.9 38.0 HD101666 2.9
2011 Apr 16 01:11 U1–U4 128.7 46.2 HD102964 2.7
2011 Apr 16 02:17 U1–U4 130.0 57.1 HD102964 3.3
2011 Apr 17 02:24 U3–U4 61.9 107.8 HD101666 3.4
2011 Apr 17 03:35 U3–U4 62.2 118.7 HD101666 3.8
2011 Apr 17 04:32 U3–U4 60.5 128.4 HD102964 4.0
2012 Feb 4 05:29 U2–U4 84.1 62.4 HD102964 3.1
2012 Feb 5 05:08 U1–U4 126.3 39.1 HD101666 4.0
2012 Apr 5 01:37 U2–U3 46.6 25.3 HD101666 3.6
2012 Apr 5 02:32 U2–U3 46.6 33.6 HD102964 3.4
2012 May 4 02:23 U3–U4 62.2 118.4 HD101666 3.0
2012 May 4 03:17 U3–U4 60.3 128.9 HD102964 2.5
2012 May 4 04:11 U3–U4 58.1 138.1 HD101666 4.1
2012 May 6 02:12 U2–U4 87.6 89.0 HD101666 4.6
2012 May 6 02:53 U2–U4 84.2 95.3 HD102964 4.8
2012 May 6 03:33 U2–U4 79.3 102.0 HD102964 4.5
2012 Jun 2 01:41 U2–U3 41.1 54.3 HD101666 4.9
2012 Jun 2 02:30 U2–U3 37.2 58.8 HD102964 4.1
2012 Jun 4 01:22 U3–U4 60.4 129.0 HD101666 3.7
2012 Jun 4 03:18 U3–U4 54.5 154.4 HD101666 3.6
2012 Jun 4 04:02 U3–U4 52.9 165.8 HD102964 4.1
2012 Jun 5 00:15 U2–U4 87.5 89.1 HD101666 2.6
2012 Jun 5 01:06 U2–U4 83.0 97.1 HD102964 3.0
2012 Jun 5 01:45 U2–U4 77.9 103.8 HD101666 3.1
2012 Jun 5 02:53 U2–U4 66.4 117.7 HD101666 3.2

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When two or three science fringe-track sets have been observed together (i.e., within about a 20 minute interval), they were averaged after data reduction with weights according to their individual S/N. This led to 2 independent correlated flux measurements in 2005, 10 in 2009, 10 in 2011, and 19 in 2012 as listed in Table 1. The maximized S/N values of the individual fringes of all data sets range from 2.5 to 6.4 with a mean of 3.9. This is very typical of AGNs observed with MIDI (see Kishimoto et al. 2011b; Hönig et al. 2012, and consistent results by Tristram et al. 2009 and Burtscher et al. 2009 using a different reduction method) and can be understood from the mid-IR brightness of the source.

We extracted the total fluxes from all of the photometry data that have been taken together with the fringe tracks. As sky reference we used the background flux from a 5 to 7 pixel offset position to the peak of the target flux, depending on the width of the AGN emission. Calibration was done using the same calibrator star as used for the interferometric data. The resulting mid-IR spectra are shown in Figure 2. For 2005, 2009, and 2011, we do have independent flux measurements of high quality to test the reliability of the MIDI fluxes: in 2005 and 2009, VLT/VISIR images were observed independently from the MIDI data. For the 2011 MIDI campaign, we took a dedicated VISIR low-resolution spectrum around the time of our interferometric observations. This spectrum has been reduced and calibrated using the dedicated pipeline described in Hönig et al. (2010) and extracted from a 0farcs75 × 0farcs53 window to closely match the MIDI window of 0farcs77 × 0farcs52.

Figure 2.

Figure 2. Total 8–13 μm flux spectrum of NGC 3783 as measured with MIDI in 2005 (green solid line), 2009 (red solid line), 2011 (blue solid line), and 2012 (purple solid line). The 2005 flux has been adjusted by a factor of 0.92 to match the almost simultaneous VISIR mid-IR photometry (light-green filled circles) of higher data quality. The Spitzer spectrum of the same year is overplotted as the gray-dotted line. Also shown are VISIR fluxes from 2009 (orange filled circles) and a VISIR spectrum of 2011 (light blue dashed line) that was extracted matching the MIDI total flux aperture.

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While the 2009, 2011, and 2012 data show good consistency between the different instruments, the 2005 VISIR fluxes are systematically lower by about a factor of 0.92 than the MIDI spectrum. A Spitzer Infrared Spectrograph (IRS) spectrum taken within a month of the MIDI observations shows consistency with the VISIR fluxes. Given that the 2005 MIDI spectrum is an S/N-weighted average of only four individual data sets, and known issues with MIDI total fluxes when only few sets are available (see a similar case in Hönig et al. 2012), we corrected the MIDI total flux spectrum of 2005 by a factor of 0.92 to match the higher quality 2005 VISIR photometry.

Interestingly, the 2011 MIDI and VISIR spectra appear to be systematically lower than the 2005, 2009, and 2012 data. This may indicate mid-IR variability of the nuclear emission. Glass (2004) reports K-band variability of 0.9 mag over several year timescales on fluxes uncorrected for the constant host contribution. With more than a factor of two variability in the near-IR, it is plausible that we may also detect variability in the mid-IR (Hönig & Kishimoto 2011). We initiated an IR monitoring campaign for NGC 3783 and will discuss variability in this source in an upcoming paper. For the purpose of getting the best reference for the correlated fluxes, we will use the 2005 and 2009 MIDI total fluxes for the respective epochs, and the VISIR spectrum for our 2011 and 2012 data.

3. RESULTS

3.1. Nuclear Infrared SED

In Figure 3, we show a broadband IR SED from about 1 μm to 90 μm combining Spitzer and AKARI data at comparably low angular resolution with high spatial resolution data obtained with 8 m telescopes at the VLT observatory in the near- and mid-IR. Although the IR emission in radio-quiet AGNs is generally dominated by dust re-emission, the optical/UV "big-blue bump" (BBB) can reach into the near-IR (Kishimoto et al. 2007, 2008). Therefore, we included the near-IR photometry presented by Prieto et al. (2010) and corrected it for BBB contamination according to the decomposition by Weigelt et al. (2012). The corrected photometry is shown in Figure 3.

Figure 3.

Figure 3. 2–90 μm broadband SED of NGC 3783. The gray line shows the Spitzer IRS spectrum (spatial resolution ∼1farcs2–10 ''), while the blue line represents the VISIR spectrum from 2011 (spatial resolution ∼0farcs27–0farcs4). The red circles with error bars are nuclear photometry from Prieto et al. (2010) using the VLT/NACO instrument and corrected for flux contribution from the BBB emission based on the decomposition presented in Weigelt et al. (2012). The black diamonds represent far-IR photometry obtained by AKARI. The years in which the observations were taken are indicated. The SED is overplotted by our best-fit model (green dashed lines; see Section 4 for details).

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Despite the differences in angular resolution, all the data connect continuously, indicating that the nuclear IR emission originates predominantly from the AGN without contamination from star formation or other host-galactic sources. This is further supported by the absence of polycyclic aromatic hydrocarbon (PAH) features, except for a weak 7.7 μm line. Wu et al. (2009) propose a method to use the 11.2 μm PAH feature luminosity to estimate the star formation contribution and, in turn, obtain an AGN contribution to the mid-IR emission by comparing the PAH luminosity to the observed 12 μm continuum luminosity. Although not present in their sample, we can use the absence of any detectable 11.2 μm PAH feature in NGC 3783 and compare it with similar sources with comparable upper limits in Wu et al. (2009). Based on this comparison, we estimate the AGN contribution to the mid-IR emission to be >90%. Finally, the far-IR SED is monotonically decreasing starting at ∼20 μm toward long wavelengths, unlike starburst-contaminated sources that show much redder far-IR SEDs. Therefore, the presented SED can be considered to represent dust emission exclusively heated by the AGN.

The IR SED in Figure 3 shows two distinct spectral bumps. The first one peaks around 3–5 μm, the second one at ∼20 μm, with a "depression" in the 7 μm range. Similar behavior is seen in other type 1 AGNs (e.g., Edelson & Malkan 1986; Kishimoto et al. 2011b), although a lack of continuous data from the near- to mid-IR often does not reveal the two peaks as clear as in the presented case of NGC 3783. This double-peaked SED suggests that the AGN-heated IR emission does not originate from a single, continuous distribution of dust.

3.2. The Size and Orientation of the Mid-IR Emitting Source in NGC 3783

The visibilities and correlated fluxes of all 41 reduced data sets are shown in Figure 9. These data are being analyzed in the following.

As discussed in previous papers, sizes obtained from MIDI interferometry are physically meaningful only when compared either at the same intrinsic (e.g., half-light radius) or observed (e.g., fixed baseline length) reference to account for the inhomogeneous uv coverage and the unknown brightness distribution of the source (for more details, please follow the discussion in Kishimoto et al. 2011b; Hönig et al. 2012). Owing to the lack of suitable data, it is not possible to establish a size for the half-light radius at all P.A.s directly from the observations (in Section 4 we will determine the half-light radius with the assistance of a model). Therefore, we calculate the P.A.-dependent Gaussian half-width at half-maximum (HWHM) sizes of the mid-IR emission source in NGC 3783 for a fixed baseline length of 61 m. The results are shown in Figure 4. A two-dimensional Gaussian has been fit to all data with projected baseline length of 61 ± 5 m. If data at shorter and longer baseline lengths were available within a P.A. of ±5°, we interpolated these data to 61 m (in log-space) and used it as further input to the fit. In addition to the sizes in milliarcseconds (mas), the right ordinate axis in Figure 4 provides a scale in parsecs. The dashed colored lines are geometric fits for each wavelength bin using an elliptical Gaussian model with the semi-major axis a, the ratio a/b of major and minor axes, and the P.A. of the major axis as free parameters.

Figure 4.

Figure 4. Gaussian HWHM sizes of the mid-IR emission of NGC 3783 for different wavelengths from 8.0 μm (blue circles) to 12.8 μm (red circles) at a fixed baseline of 61 ± 5 m for a range of position angles. The colored dashed lines are elliptical fits to the data at the corresponding wavelength bin.

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In Figure 5, we show confidence intervals for the semi-major axis a and the axis ratio a/b for the 61 m data. For each wavelength bin (color-coded with increasing wavelength from blue to red), we calculate a probability distribution function (PDF) based on the three-parameter geometric model. The left panel of Figure 5 compares the 1σ (solid lines) and 2σ (dashed lines) confidence intervals for a/b versus a, i.e., marginalized over the P.A. At wavelengths >8.4 μm, the elongation of the mid-IR source is significant at >3σ. Moreover, the trend that the size increases with wavelength is obvious. In the lower-right panel, we plot the marginalized PDF for the semi-major axis. The peaks of the PDF for each wavelength shift to larger sizes from short to long wavelengths. This trend is expected for emission from centrally heated dust, meaning that the hotter dust (emitting at shorter wavelengths) is closer to the AGN.

Figure 5.

Figure 5. Probability density distributions of the modeled semi-major axis a and axis ratio a/b for the 61 m baseline data of NGC 3783. Left: a vs. a/b PDFs for different wavelengths. Upper right: wavelength-dependent marginalized PDFs (colored dashed lines) and joint PDF (black solid line) for the axis ratio a/b. Lower right: wavelength-dependent marginalized PDFs (colored dashed lines) of the semi-major axis a. The color coding for the wavelengths is indicated in the color bar in all panels.

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In the upper-right panel of Figure 5, we show the marginalized PDF for the axis ratio a/b. Assuming statistical independence of each wavelength bin, we calculated a joint PDF (black solid line) and inferred an axis ratio at 61 m baseline length for the mid-IR emission source of NGC 3783 of $1.42^{+0.03}_{-0.07}$ at the 95% confidence level. We caution, however, that for a given data set the errors do have a systematic component from the uncertainty of the transfer function that leads to correlations in the errors of different wavelengths. This is not included in the error estimates. As seen in both the left and upper-right panels of Figure 5, there may be a trend of stronger elongation with increasing wavelength. Most notably, the PDFs of the shortest and longest wavelengths barely overlap. Similar trends have been found in other AGN on similar spatial scales (Raban et al. 2009, NGC 1068; Tristram et al. 2012, Circinus, Hönig et al. 2012, NGC 424) and may be explained by contribution from a hot-dust component at the shorter wavelength end that has a different orientation (see Sections 3.3.14, and 5).

In Table 2, we list the fitted geometric parameters at 8.6 μm, 10.5 μm, and 12.4 μm restframe wavelength to illustrate our results. The values for each parameter were obtained as the peak of the fully marginalized PDF. The errors indicate the 1σ confidence interval. For the semi-major axis, the sizes are listed in observed units (mas), physical units (pc), and intrinsic units (rin). The latter ones use rin = 0.061 pc, which is the inner radius based on the optical luminosity of NGC 3783 and a fit to reverberation-measured inner radii of AGN (Suganuma et al. 2006; Kishimoto et al. 2009b), approximately consistent with the K-band reverberation mapping of Glass (1992). We also list the values of the axis ratio and P.A. based on the joint inference of all wavelength bins in the range of 8.0–12.8 μm. This establishes that the mid-IR emission region observed at 61 m baseline is elongated along the major axis at P.A. $-52^{+2}_{-3}\,^\circ$ with an axis ratio of $1.42^{+0.01}_{-0.03}$ (1σ level). Although the direction of the major axis is approximately aligned with the direction where the uv plane only has coverage at about 60 m baseline length, we note that this result is mostly unaffected by the beam shape, because we made sure that the analysis has comparable resolution at all P.A.s. Moreover, the elongation and P.A. are already apparent in the raw data (see Figure 9). Although the data at P.A. >110° comes from baseline lengths of only 60–66 m, the visibilities are of the same level or even lower than those at 128 m at about P.A. 45°. If the object were circular, we would expect the opposite, i.e., significantly higher visibilities at the shorter wavelengths.9

Table 2. Geometric Gaussian-fit Parameters of Our Mid-IR MIDI Data and the Near-IR AMBER Data Published in Weigelt et al. (2012)

Data Type Wavelength Semi-major Axis a Axis Ratio a/b Position Angle
(μm) (mas) (pc) (rin) (deg)
MIDI PBL 61 m 8.6 $6.3^{+0.3}_{-0.2}$ $1.34^{+0.06}_{-0.05}$ $22.0^{+1.0}_{-0.7}$ $1.20^{+0.08}_{-0.05}$ $-62^{+15}_{-13}$
  10.5 $9.0^{+0.4}_{-0.2}$ $1.91^{+0.08}_{-0.04}$ $31.3^{+1.2}_{-0.7}$ $1.38^{+0.07}_{-0.06}$ $-50^{+8}_{-7}$
  12.4 $12.0^{+0.5}_{-0.4}$ $2.55^{+0.10}_{-0.08}$ $41.8^{+1.6}_{-1.4}$ $1.48^{+0.08}_{-0.07}$ $-48^{+6}_{-6}$
  8.0–12.8  ⋅⋅⋅ $1.42^{+0.01}_{-0.03}$ $-52^{+2}_{-3}$
AMBER 2.2 $0.73^{+0.35}_{-0.20}$ $0.16^{+0.07}_{-0.04}$ $2.5^{+1.2}_{-0.7}$ $1.45^{+0.60}_{-0.36}$ $48^{+36}_{-77}$

Notes. The values for the mid-IR source are based on full marginalization of the PDF, while the near-IR parameters refer to the peak in the multi-dimensional PDF. The errors indicate the 1σ confidence interval for each parameter.

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3.3. Comparison of the Mid-IR Emission Region to the Near-IR and AGN System Axis

3.3.1. Near-IR Interferometry

NGC 3783 has recently been interferometrically observed in the near-IR using the VLTI/AMBER instrument. Weigelt et al. (2012) report a source size in the K band of 0.74 ± 0.23 mas or 0.16  ±  0.05 pc from the two- and three-telescope interferometry. This size is about an order of magnitude smaller than the 61 m HWHM we found in the mid-IR, qualitatively consistent with the idea that the dust is hottest closest to the AGN. The AMBER data cover a range of different P.A.s, and we aim for investigating if the object shows signs of ellipticity in the near-IR. We take the visibility measurements in the K band from Weigelt et al. (2012), convert them into Gaussian HWHM, and plot the results in Figure 6.

Figure 6.

Figure 6. P.A.-dependent Gaussian HWHM sizes at 2.2 μm based on near-IR VLTI/AMBER interferometry data from Weigelt et al. (2012; 5% error in visibility assumed). The dashed line is the best-fit geometrical fit to the data.

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The large error bars of these observations (±0.09 in visibility), combined with the high visibilities, make it difficult to interpret the near-IR emission region in terms of a non-circular model. Therefore, we use the same approach as for the MIDI data and calculate the PDF for the geometric model. The parameters for the peak value in the multi-dimensional PDF are listed in Table 2. The 1σ confidence interval is taken from the peak of the multi-dimensional PDF along the respective parameter axis. The reason we chose this approach is that when fully marginalizing the PDFs, the inference for a P.A. becomes very low and multi-peaked. This is mostly due to the lack of data between −45° and 20°. Interestingly though, when marginalizing we find that the lowest probability for the direction of the major axis is approximately at P.A. −50° to −60°, i.e., the preferred direction of the mid-IR extension. This may be considered as an indication that the near-IR and mid-IR are originating from distinctly different regions and dust distributions, and we want to express the need to fill the K-band uv plane in this object.

A rather well-constrained parameter is the semi-major axis. Full marginalization provides $a=0.73^{+0.35}_{-0.20}$ mas (1σ confidence interval). This result is consistent with the size obtained by Weigelt et al. (2012). Accordingly, the K-band interferometry size is about a factor of two larger than the inferred K-band reverberation size (based on Kishimoto et al. 2007, 2009b), which might be explained in terms of a shallow (i.e., very extended) dust distribution, as well as a high sensitivity of the reverberation cross-correlation analysis to the fastest reacting signal (Kishimoto et al. 2011a; Weigelt et al. 2012). An additional possibility we propose here is an inclination effect. The geometric fit provides marginal evidence that the K-band source is elongated. If this is indeed the case, it may be caused by inclination of the inner torus with respect to the observer. This would result in the fastest response to variability coming from the near side along the minor axis, which according to our fit is a factor of $1.45^{+0.60}_{-0.36}$ smaller than the semi-major axis. Further K-band interferometry is required, however, to formally constrain the shape of the near-IR-emitting region.

3.4. Optical Polarimetry and Narrow-line Emission

As discussed in Hönig et al. (2012), there are at least three independent ways to establish a system axis (=polar direction) of the AGN: (1) jet-like linear radio emission in the nucleus, (2) spatial extension of the narrow-line region (NLR), and (3) optical polarimetry. However, the different methods do not always result in a consistent picture as famously evidenced in NGC 1068, where large-scale and small-scale direction indicators are misaligned. In the following, we will discuss the situation in NGC 3783.

Radio maps at 3.6 cm and 6 cm show an unresolved point source, so that no P.A. information can be extracted (Morganti et al. 2000; Kinney et al. 2000). Smith et al. (2002) report optical spectropolarimetry of NGC 3783. The wavelength-dependent features in the percentage polarization, polarized flux, and P.A. of the broad Hα emission line are interpreted as consistent with scattering off an equatorial disk on about the same scale or slightly larger than the broad-line region (Smith et al. 2002, 2005). As such the polarization traces the geometry of material on sub-parsec scales. The inferred polar axis from these measurements is pointed toward P.A. −45° (Smith et al. 2004).

Spatially resolved observations of NGC 3783 in several optical and near-IR emission lines (e.g., [O iii], [Si vi], H2) have been reported and the major axis of the extended line region is found to be between P.A. −20° and 0° (e.g., Schmitt et al. 2003; Hicks et al. 2009; Müller-Sánchez et al. 2011). Several of these lines show blueshifted cores (e.g., Reunanen et al. 2003; Hicks et al. 2009) and high velocities of up to 1300 km s−1 (Kraemer et al. 2001; Rodríguez-Ardila et al. 2006; Müller-Sánchez et al. 2011), meaning that gas in these extended line-emitting regions is outflowing. Integral-field spectroscopy of the [Si vi] line (Müller-Sánchez et al. 2011) shows extended line emission over 50–70 pc to the north (P.A. ∼ 3° from kinematic modeling). However, intensity maps suggest that the P.A. changes toward the north/west for smaller scales (see Figure 13 in Müller-Sánchez et al. 2011). At the 0farcs1/20 pc scale, the point-spread function (PSF; FWHM 0farcs085) appears elongated toward P.A. ∼ −35° (see the 50% peak flux contour in the lower-right panel of their Figure 13 and the low-velocity maps in the same figure). This is also indicated in the results of the kinematic modeling where an additional small-scale component might be necessary to explain the near-nuclear [Si vi] emission (F. Müeller-Sánchez 2013, private communication).

The situation in NGC 3783 bears some resemblance to the changes of P.A. on about the same scales seen in NGC 1068 (e.g., Gallimore et al. 2004). In the case of NGC 1068, the best inference on the parsec-scale polar axis can be obtained when considering the nuclear polarization direction while the orientation of narrow-line emission on tens of parsecs scales is off by up to 45° (e.g., Miller et al. 1991; Capetti et al. 1997; Gallimore et al. 2004). In NGC 3783, we find that the polarization axis, tracing the orientation on sub-parsec scale, is only ΔP.A. = −7° off the average mid-IR axis of our MIDI observations, and about ΔP.A. = 87° off the near-IR axis, all of these directions tracing parsec scale or even smaller structures. The orientation on tens of parsecs as inferred from the narrow-line emission intensities is off the polarization P.A. by about ΔP.A. ∼ 10° (smallest scales) to 48° (larger scales; kinematic model implies opening angle of ±34°). The larger scale NLR axis is located somewhere in between the mid-IR and near-IR, while the polarization shows good alignment with the extended mid-IR parsec-scale emission and potentially the small-scale NLR, and is about perpendicular to the near-IR.

Near- and mid-IR interferometry observations trace dust on sub-parsec to parsec scales close to the optical scattering region in this type 1 AGN. Therefore, we interpret the polarization position angle in P.A. −45° as being the best reference for the direction of the polar region for our observations. Comparing this polar axis with the interferometry suggests that the mid-IR light is emitted from a region close to the polar axis while the near-IR emission originates from the AGN plane (although we note again that the inference on the P.A. of the near-IR emission is not good at the moment). On larger scales, this preferential axis is probably misaligned with the small-scale polar axis (see also Reunanen et al. 2010), indicating some kind of realignment of the material during the inflow/outflow process.

4. MODELING THE SED AND INTERFEROMETRY OF NGC 3783

In order to use all available interferometric and photometric information simultaneously, we model the data as outlined in Hönig et al. (2012). It uses a radial power law for the brightness distribution of the IR emission of the shape Sν(r) = f0Bν(T(r))(r/rin)α, where r is the distance from the AGN, rin is the inner radius of the dust distribution, f0 is the normalized surface density (or surface emissivity) at rin, α is the surface density power-law index, and Bν is the blackbody radiation with temperature T(r) at distance r. The r-dependent temperature T(r) is parameterized as T(r) = Tmax(r/rin)β. The hot near-IR emission bump seen in NGC 3783 and many other type 1 AGNs is treated as a second emission component of the same form (i.e., Thot as the maximum temperature, αhot as the surface density power law, and f0; hot as the normalized surface density/emissivity of the hot component). The only difference is that we fix the temperature power law to the blackbody equivalent with βhot = −0.5, which has been found to be a good assumption empirically (Kishimoto et al. 2011b). The geometry of the emission is modeled as elliptical with axis ratios s and shot for the warm and hot component, respectively, as well as orientations θ and θhot.

We note that the use of graybody emission (f0 × Bν(T(r))) is a simplification. In Figure 3, we can see hints of a very shallow silicate emission feature. However, in Hönig et al. (2010) we analyzed the VISIR spectrum of NGC 3783 in detail and showed that the feature is extremely weak (nominally consistent with no feature or an absorption feature), which makes us confident that this assumption does not significantly influence the modeling results.

As input data we use all MIDI visibilities (12 bins in the 8–13 μm range; see Figure 9) and the MIDI total flux as listed in Table 1. These data are complemented by the near-IR NACO data as discussed in Section 3.1. Since the Spitzer IRS spectrum connects smoothly to the data at higher angular resolution, we also use Spitzer fluxes at 5, 6, 7, 22, and 32 μm to extend the SED and better sample the overall shape of both IR bumps (see Figure 3).

In Table 3, we list the resulting best-fit set of parameters of our model to the data. For these fits, we fixed the geometry of the hot component to the P.A. and axis ratio obtained by the geometric fit to the K-band interferometry (see Section 3.3.1). The errors for the parameters are obtained from the diagonal elements of the covariance matrix of the fit (i.e., the parameters and errors are not marginalized as done for the geometric model in Section 3.2 for computational reasons). The parameters indicate a warm component with a relatively shallow brightness distribution, contributing the majority of the mid-IR emission. The hot component dominates the near-IR emission and gives rise to the 3–5 μm bump commonly seen in type 1 AGN (e.g., Edelson & Malkan 1986; Mor et al. 2009). Its brightness distribution is very steep, much steeper than for the warm component. Consistent with the ellipse fitting in Section 3.2, the major axis of the warm component points toward P.A. −56°. We also show results for an alternative model where we fixed the temperature of the hot component to $T_\mathrm{max}^\mathrm{hot} = 1400$ K, which corresponds to the color temperature in the J, H, and K bands for an accretion disk contribution fraction of 0.24 (Kishimoto et al. 2007). The fit is worse than for the best-fit model, but given the small $\chi ^2_r$ it still is a credible alternative. In any case comparing the parameters of both models shows the range of uncertainty in the parameters.

Table 3. Best-fit Parameters for the Modeling of the IR Photometry and Interferometry

Model Component α β ϕ s = a/b Tmax f0 Rin $\chi ^2_r$
(deg) (K) (pc)
Two-component Warm/mid-IR −0.52 ± 0.24 −0.28 ± 0.08 −56 ± 1 3.0 ± 0.2 438 ± 84 0.21 ± 0.06 0.146 ± 0.063 0.76
power law Hot/near-IR −7.9 ± 6.3 −0.5 (fixed) 48 (fixed) 1.45 (fixed) 921 ± 63 0.09 ± 0.33  ⋅⋅⋅  
 
  Warm/mid-IR −0.41 ± 0.13 −0.26 ± 0.06 −56 ± 1 4.5 ± 0.7 414 ± 50 0.25 ± 0.09 0.092 ± 0.010 0.93
  Hot/near-IR −1.2 ± 0.1 −0.5 (fixed) 48 (fixed) 1.45 (fixed) 1400 (fixed) 0.08 ± 0.02  ⋅⋅⋅  

Note. Model parameters: α: power-law index of the hot/warm surface density distribution; β: temperature-gradient power-law index (fixed to blackbody value β = −0.5 for hot component); ϕ: position angle of the major axis in degrees from N toward E (fixed for hot component according to the geometric fit to the K-band interferometry); s: ratio of major axis a and minor axis b (fixed for hot component according to geometric fit to K-band interferometry); Tmax: maximum temperature of the hot/warm dust distribution; f0: normalized surface density, or surface emissivity, at the inner radius Rin for the hot/warm component; rin: inner radius of the dust distribution.

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An interesting aspect of the models is the relatively low maximum temperature Thot = 921 K for the hot-dust component, despite the high color temperature. However, it has to be emphasized again that there are model fits at higher temperature that have equally acceptable $\chi ^2_r$ values, so that a temperature in the range of 1000–1200 K is very possible. Nevertheless, this is lower than what has typically been assumed as the sublimation temperature of 1500–1900 K for graphite dust grains, which supposedly dominate the dust composition closest to the AGN (e.g., Barvainis 1987; Phinney 1989; Kishimoto et al. 2007, 2009a). The modeled inner radius Rin = 0.146 pc, however, agrees well with the interferometric K-band size of 0.16 pc, given the model and observational uncertainties, respectively. It is, therefore, possible that the maximum temperature in the dust distribution of NGC 3783 is indeed lower than the canonical sublimation temperature. We want to point out that the K-band reverberation mapping lag is a factor of ∼2.5 shorter than implied by the modeled and near-IR interferometric sizes. This does not necessarily contradict the model parameters; however, as already mentioned in Section 3.3.1, the small reverberation lag is probably a combination of the fact that reverberation techniques are sensitive to the fastest reaction of the variability signal and an inclination-induced projection effect as suggested by the potential ellipticity of the near-IR source.

The normalization factors f0 for the hot and warm components can be interpreted as surface emissivity. For both components, we obtain sub-unity values, meaning that the combination of (projected) emitting surface and optical depth is <1. If it were the result of a patchy projected emitting surface, only about 10%–30% of the projected surface would contribute to the observed emission. Although possible, it seems difficult to reconcile this scenario with the high covering factor of the dust (see Section 5.2). In this regard, it is interesting to note that if we assume that most of the projected surface is covered with IR-emitting dust, the emissivity is consistent with mid-IR optically thin emission. Similar emissivities of about 0.3 have been found in clumpy torus models where the emission is dominated by the optically thin surface layer of an otherwise optically thick cloud ("fluffy cloud model"; Hönig et al. 2006; Schartmann et al. 2008; Hönig & Kishimoto 2010, see their Figure 3). In this picture, the radiative transfer effects in a clumpy medium could not be the only effect for observing a shallow silicate emission feature (because of τIR < 1), but a non-interstellar-matter, graphite-dominated dust composition has to contribute to the feature's weak appearance.

5. DISCUSSION

5.1. Half-light Radius and Intrinsic Elongation

The fitting result described in the previous section makes use of all 41 data sets and is not restricted to a certain baseline length as in the geometrical model for the 61 m baseline. Hence, the object geometry is less dependent on the probed spatial scales and the model than the analysis in Section 3.2. Therefore, it is important to realize that the inferred axis ratio s = a/b = 3.0 reflects the intrinsic geometry more realistically than the axes ratio of the ∼1.4 derived from the geometric modeling of the 61 m data (see Section 3.2 and Figures 4 and 5). This is well illustrated in Figure 7. Here, we show the observed 12.5 μm visibilities for all 41 data sets and compare them to the best-fitting model (see Table 3). For the minor axis, the 12.5 μm visibility drops to 0.5 at about a baseline length of ∼84 m (red data points). Along the major axis (blue data points), even the shortest baselines at about 50 m show visibility levels lower than 0.5, meaning that the intrinsic axis ratio must be >2. The model predicts that the half-visibility level is reached already at 28.1 m, leading to the axis ratio as listed in Table 3. Using the model we can infer a half-light radius at 12.5 μm, despite the low visibility levels along the major axis, of (20.0  ±  3.0) mas × (6.7  ±  1.0) mas, corresponding to (4.23  ±  0.63) pc × (1.42  ±  0.21) pc or (69.4  ±  10.8) rin× (23.3 ± 3.5) rin.

Figure 7.

Figure 7. 12.5 μm (restframe) visibilities plotted against the projected baseline length. The position angles for each data point is color-coded from dark blue along the modeled major axis at −56° to red along the minor axis in P.A. 34°. Overplotted are P.A.-dependent visibilities for the best-fitting model (see Table 3) in steps of ΔP.A. = 15° with color coding according to the respective P.A. The dashed line marks the 0.5-visibility level from which the half-light radius of the major axis aHLR and the minor axis bHLR have been inferred (see the text).

Standard image High-resolution image

We also tested what kind of effect we may expect on single-telescope mid-IR images of NGC 3783. For that, we synthesized a telescope PSF using a two-dimensional Airy function with a core width of 0farcs35 as typically measured for calibrator stars in VLT/VISIR images at 12.5 μm (Hönig et al. 2010; Reunanen et al. 2010). This PSF is used as a convolution core for a 12.5 μm model image from our best-fit model parameters. We simulated "observed" model images, binned to the 0farcs075 pixel−1 detector resolution of VISIR, and assumed a detection with S/N = 100 of the source and S/N = 1000 of a bright PSF reference star. Under these conditions, we subtracted the scaled reference star from the "observed" model image and measured how much flux is left over from the extended structure. We found that there should not be any detectable extended flux for NGC 3783 based on our best-fit model down to <1%. This is consistent with an analysis of several ground-based mid-IR images by D. Asmus et al. (2013, in preparation), which did not find any extended structure around the nucleus of NGC 3783. However, if we put NGC 3783 in place of the object with the highest intrinsic spatial resolution in the mid-IR, NGC 1068 (D = 14.4 Mpc, rin ≈ 0.1 pc), we would expect that about 10%–12% of the observed flux could be detected as extended emission in the polar region, with the direction of elongation well recovered. A comparison to Circinus (D = 4.2 Mpc, rin ≈ 0.025 pc) yielded similar results (6%–8% extended flux). Interestingly, both Circinus and NGC 1068 show much stronger contribution of mid-IR emission from the polar region in single-telescope images than expected from the NGC 3783 model (e.g., Packham et al. 2005; Mason et al. 2006), which may indicate a different intrinsic distribution of the polar dust and/or a viewing-angle effect since both objects are type 2s while NGC 3783 is a type 1 AGN.

5.2. The Covering Factors of the Hot and Warm Components

The two-component model spatially and spectrally disentangles the hot and warm components. As evident from the SED, the hot component occupies primarily the near-IR wavelength region and is responsible for the 3–5 μm bump while the warm component causes the mid-IR bump. Using the model for decomposing the emission into hot and warm components, we can determine the observed covering factors of both components as the ratio of the total luminosity in each component to the total luminosity of the UV/optical BBB emission LBBB. We want to note that these observed covering factors are based on observations along a single line of sight and, therefore, assume isotropy of both the BBB and IR emission. They do not take into account possible anisotropy/optical depth effects of the IR emission, which may be preferentially emitted vertically (type 1 AGN). As a consequence, the intrinsic covering factors in this type 1 AGN are probably smaller than the observed values. The actual degree of anisotropy in the mid-IR is still a matter of debate (e.g., Buchanan et al. 2006; Gandhi et al. 2009; Hönig et al. 2011; Asmus et al. 2011).

We estimate the luminosity of the BBB in NGC 3783 by combining the UV/optical observations compiled in Prieto et al. (2010) and a ground-based nuclear 4000–8000 Å spectrum (Jones et al. 2009, scaled to the photometric data), and scaling an AGN BBB template to the extinction-corrected data (multi-power-law template as shown in the Appendix of Hönig & Kishimoto 2010). Assuming that the optical/UV emission in NGC 3783 follows such a template, we integrate the scaled template and obtain $L_\mathrm{BBB} = 1.0 \times 10^{44}\,\mathrm{erg\,{\rm s}^{-1}}$. This is notably different from the integration of the data itself in Prieto et al. (2010; 3.9 × 1043 erg s−1) where the intention was to quantify the directly observed BBB luminosity. Indeed, NGC 3783 shows signs of extinction toward the shortest wavelengths, and the template fitting implies a line-of-sight optical depth of τV = 0.3. We estimate the systematic uncertainty of our LBBB determination as about a factor of two, primarily due to AGN variability in this source (Onken & Peterson 2002).

Decomposing the IR SED, we obtain Lhot = 4.2 × 1043 erg s−1 and Lwarm = 9.2 × 1043 erg s−1 for the hot and warm components, respectively. The total IR luminosity is, therefore, LIR = 1.3 × 1044 erg s−1, leading to a total IR covering factor of $C_\mathrm{IR} = L_\mathrm{IR}/L_\mathrm{BBB} = 1.3^{+1.3}_{-0.7}$ (errors based on the optical variability). For the hot and warm components, we determine covering factors of $C_\mathrm{hot} = 0.42^{+0.42}_{-0.21}$ and $C_\mathrm{warm} = 0.92^{+0.92}_{-0.46}$ and a ratio Cwarm/Chot = 2.2, meaning that the warm dust covers about twice as much solid angle around the AGN as the hot dust. Yet, the hot-dust covering factor is still significant and larger than the typical value of ∼7% derived from single-wavelength K-band data of a sample of type 1 AGN (Landt et al. 2011).

5.3. Origin of Mid-IR Polar Emission and the Geometry of the Dust Distribution

The parsec-scale polar-oriented axis ratio of the mid-IR emission of about 3:1 is the strongest such elongation detected so far. It has to be pointed out again that NGC 3783 is a type 1 AGN with multiple clearly detected broad lines in the optical as well as low polarization consistent with an equatorial scatterer (Smith et al. 2004). Additionally, the [O iii] emission appears as only marginally extended (Schmitt et al. 2003). Together with the IR SED and the low X-ray column density, this suggests that the type 1 classification is due to a relatively low inclination of the equatorial obscurer (i.e., torus) in NGC 3783 as opposed to a "lucky strike" through a hole in a clumpy torus that is seen more edge-on. Therefore, the observed strong elongation points toward dust that is significantly elevated from the equatorial plane of the AGN.

We have argued in Hönig et al. (2012) for the type 2 AGN NGC 424 that the intrinsic polar elongation with axis ratio of 2.2:1 poses a challenge to the standard interpretation of the mid-IR emission with torus models. Indeed, the only models that showed a qualitatively consistent geometry with the observations were the hydrodynamic simulations of Schartmann et al. (2009, their Figure 8). However, these models failed to reproduce the observed SED. NGC 3783 has a relatively red mid-IR SED (see spectral slopes in Hönig et al. 2010; Kishimoto et al. 2011b for a comparison to a small sample of other type 1s) that might be qualitatively consistent with the model shown in Schartmann et al. (2009, their Figure 9). On the other hand, for more face-on inclinations as in NGC 3783, the model does not reproduce the strong polar elongation, aside from the lack of a near-IR emission bump at around 3–5 μm.10 Therefore, we conclude that the strong parsec-scale polar elongation seen in NGC 3783 (as well as some other AGNs) is not accounted for in current torus models and challenges the paradigm that the IR emission is dominated by the torus.

In order to be more quantitative about how much of the mid-IR flux might still be emitted by the torus, we use our best-fit model from Section 4 and compare the polar-extended flux to the total mid-IR emission. The remaining flux may be associated with the torus. In Figure 8, we show the relative fraction of polar mid-IR emission and torus emission in the 8–13 μm range. About 60%–90% of the emission arises from the polar region with a strong dependence on wavelength. This is tied to the overall increase in size toward the polar region with wavelength.

Figure 8.

Figure 8. Relative contribution of the two model components to the mid-IR emission in NGC 3783 in the 8–13 μm range. The red solid line represents the polar-extended component while the blue dashed line shows the fraction of flux from the torus. These contributions have been calculated based on the best-fitting model from Section 4.

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In the previous section, we discussed the covering factors of the hot and warm components in NGC 3783 and compared them to the low values in the K band. One possibility to unite the low K-band covering factors, the ∼30% Chot for NGC 3783, and the factor of two larger Cwarm is significant flaring in the dust distribution around the AGN. In this scenario, the total surface of dust clouds directly exposed to the AGN grows rapidly with distance (see also Figure 9 in Hönig et al. 2012 and Figure 4 in Kishimoto et al. 2013). Accordingly, the dust has to be elevated significantly. Turbulence does not seem to be a very good driver since most hydrodynamic simulations show comparably flat distributions (e.g., Wada et al. 2009). In fact, the main reasons why the models by Schartmann et al. (2009) show some polar elongation are the initial conditions which assume that the dust starts out in a more or less spherical distribution on scales of tens of parsecs (M. Schartmann 2013, private communication). Recently, we argued that radiation pressure on dust both from UV/optical and IR photons may drive an optically thin dusty wind from the inner region of the torus (Hönig et al. 2012; Kishimoto et al. 2013). This wind is not currently accounted for in radiative transfer models that are used to interpret the IR emission of AGN. A notable feature of the torus+wind model are two regions that differ not only in their locations (equatorial torus versus polar wind) but also in their optical depths. This is reflected by the two distinct spectral bumps in the IR SED where the torus would be responsible for the emission peaking in the 3–5 μm bump, while the wind mainly contributes to the mid-IR. The spatial distinction is suggested by comparison of the near-IR and mid-IR interferometry as discussed in Section 3.3.1.

Figure 9.
Standard image High-resolution image
Figure 9.

Figure 9. MIDI data of NGC 3783 obtained between 2005 and 2012. Blue lines (with error bars) show the correlated fluxes for each baseline configuration that has been observed. Corresponding visibilities are plotted as gray lines (full wavelength resolution of the data) and black circles with error bars (binned data used for model fitting). The green dashed lines represents the best-fitting model with parameters listed in Table 3.

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We want to emphasize that the observations do not require that the polar cone is filled with dust. The elongation that we see is a projection of the three-dimensional geometry onto the plane of the sky. This means that it is well possible that the polar mid-IR emission is "hollow," corresponding to typical wind scenarios (e.g., Elvis 2000; Keating et al. 2012; Roth et al. 2012). In fact, the polar-elongated mid-IR emission in Circinus is brightest close to the edge of the ionization cone (Tristram et al. 2012). This would help to reconcile polar-extended dust with type 1 AGN being observed without significant optical extinction.

In the context of the wind scenario, it may be interesting to note that NGC 3783 is one of only three type 1 AGNs with a (weak) water maser detection (J. Braatz 2013, private communication11). Although the data are not sufficient to determine the kinematic structure of the maser-emitting clouds in NGC 3783, the other two type 1 AGNs with water masers (NGC 4051 and NGC 4151; Hagiwara et al. 2003; Braatz et al. 2004) show outflow characteristics. If the maser emission in NGC 3783 also originated from the outflow region, it supports the idea of outflowing clouds with significant column, potentially bearing dust, in about the polar direction that can emit significant IR emission.

Finally, we want to add that the sub-unity emissivities that favor graphite grains (see Section 4) are qualitatively consistent with our expectations for the dusty wind. In Hönig et al. (2012), we discuss that the most likely wind-launching region is the innermost, hottest region of the torus where both the radiation from the AGN and from the IR emission of the dust itself has the potential to uplift dust grains via radiation pressure (Krolik 2007). It is, therefore, conceivable that the dust composition in the wind reflects the dust composition in the hottest region of the torus. Observational evidence strongly suggests that large graphite grains dominate this hot sublimation zone (e.g., Kishimoto et al. 2007, 2009a; Mor et al. 2009; Kishimoto et al. 2011a; Mor & Netzer 2012).

6. SUMMARY AND CONCLUSIONS

We present mid-IR interferometric observations of the type 1 AGN in NGC 3783. The data densely cover the uv plane, which allows us to derive sizes and elongation for the mid-IR emitting source in the wavelength range between 8 and 13 μm. NGC 3783 belongs to a growing sample of objects that have been spatially resolved on (sub-)parsec scale in both the near- and mid-IR, and we made use of the 2.2 μm data from Weigelt et al. (2012) to complement the mid-IR data. Moreover, we compiled a high angular resolution IR SED as the total flux reference as well as to test the energetics of dust heating and re-emission. Our main results are summarized as follows.

  • 1.  
    The mid-IR emission shows strong elongation and is well resolved with visibilities in the range of 0.2–0.75.
  • 2.  
    Our data can be used to reconstruct sizes for a fixed baseline length of 61 m. Using a Bayesian approach to model the data, we obtain sizes for the semi-major of $1.34^{+0.06}_{-0.05}$ pc at 8.6 μm and $2.55^{+0.10}_{-0.08}$ pc at 12.4 μm, showing a strong wavelength dependence. Qualitatively an increase of size with wavelength is expected for dust that is centrally heated, but the quantitative change of size does also depend on the dust distribution. Indeed, a better reference is the sizes scaled for the inner radius of the dust distribution (rin ≈ 0.061 pc based on near-IR reverberation), resulting in sizes of 20–70 rin, depending on P.A. This is consistent with Kishimoto et al. (2011b) and can be interpreted as a very extended dust distribution compared to other type 1 AGNs.
  • 3.  
    As discussed in the literature (Kishimoto et al. 2011b; Hönig et al. 2012), the half-light radius is a very good size reference for interferometric data since it does not depend on baseline configuration and intrinsic resolution. Owing to the low visibilities of <0.5 along the major axis, we are not able to determine a half-light radius directly from the data. However, using a simple power-law model for the wavelength, baseline, and P.A. dependence of the visibilities, we infer a half-light radius at 12.5 μm of (4.23 ± 0.63) pc × (1.42 ± 0.21) pc or (69.4 ± 10.8) rin× (23.3 ± 3.5) rin. Accordingly, the intrinsic axis ratio of the mid-IR emission source is 3:1.
  • 4.  
    The major axis of the mid-IR emission points toward P.A. $-52^{+2}_{-3}\,^\circ$, derived from the geometric modeling of the 61 m data, which is consistent with the P.A. of −56° obtained by model fitting in Section 4. This orientation is very close to the polar axis of NGC 3783 inferred from optical spectropolarimetry (ΔP.A. = −7°). The NLR seems to be misaligned with this polar axis on larger scales (≳50 pc; ΔP.A. about 50°), but apparently changes its direction on smaller scales (≲20 pc; ΔP.A. about 10°) and aligns closer with the polar axis.
  • 5.  
    Given the visibility levels along major and minor axes and a model decomposition, we conclude that about 60%–90% of the unresolved single-telescope mid-IR emission originates from the polar region, with a dependency on wavelength. This is consistent with the other two cases where observations with similarly good uv coverage have been performed to date (Circinus, NGC 424).
  • 6.  
    Although the near-IR interferometry reported by Weigelt et al. (2012) still needs follow-up observations, we find tentative evidence that the orientation of the near-IR is inconsistent with the orientation of the mid-IR emission and potentially even perpendicular to the mid-IR emission (ΔP.A. ∼ 82° for the peak of the K-band PDF). This suggests that the near-IR and mid-IR emission originates from spatially separated dust distributions.
  • 7.  
    The high angular resolution SED shows two distinct bumps: the regular mid-IR bump (peaking at about 20 μm) and a 3–5 μm bump that has been observed in many type 1 AGNs. The association of the near-IR interferometry with the 3–5 μm bump and the mid-IR interferometry with the mid-IR bump suggests that the near-IR and mid-IR emission are not only spatially but also spectrally distinct. In this respect, it will be important to characterize the size and elongation in the L, M, and N bands for a large sample of type 1 AGN with the upcoming MATISSE instrument at the VLTI.
  • 8.  
    We simultaneously modeled the SED and interferometry of NGC 3783 using a two-component power law representing the hot (near-IR) and warm (mid-IR) emission bumps, respectively. We found a very compact hot source with most of the emitting (=directly AGN-heated) dust being located within few times the inner radius in the mid-plane of the putative torus. On the other hand, the mid-IR emission originates from a quite shallow dust distribution that extends over a wide range of distances in polar direction.

Our results further support the idea that a significant portion of the mid-IR emission in AGN is associated with dust in the polar region (Hönig et al. 2012; Kishimoto et al. 2013). It seems as if standard torus models have problems reconciling SED and interferometry at the same time, suggesting that the polar dust is physically disconnected from the torus. This dust may arise from a radiatively driven dusty wind off the inner hottest region of the torus. As such, the use of torus models on unresolved IR photometry might have to be reconsidered, and we strongly encourage testing the effect of physically motivated wind models on dust around AGN (e.g., as in Dorodnitsyn et al. 2011, 2012; Keating et al. 2012; Roth et al. 2012).

We thank Jim Braatz and Francisco Mueller-Sanchez for providing helpful input, as well as the anonymous referee for helpful comments that strengthened the manuscript. This research is based on observations made with the European Southern Observatory telescopes under programs 075.B–0215, 380.B–0289, 082.B–0330, 083.B–0452, 087.B–0401, 088.B–0044, and 089.B–0036. S.F.H. acknowledges support by Deutsche Forschungsgemeinschaft (DFG) in the framework of a research fellowship (Auslandsstipendium). This research has made use of the NASA/IPAC Extragalactic Database (NED) which is operated by the Jet Propulsion Laboratory, California Institute of Technology, under contract with the National Aeronautics and Space Administration. Based, in part, on data obtained from the ESO Science Archive Facility.

APPENDIX: NGC 3783 VLTI/MIDI INTERFEROMETRY DATA

In Figure 9, we present the visibilities (gray) and correlated fluxes (blue) for the 40 individual data sets listed in Table 1 along with the date of observation, P.A., baseline length, and configuration. The data are sorted for P.A. On top of the data, we plot the best-fitting model (green dashed line) with parameters according to Table 3. The black circles with error bars indicate the binned version of the visibilities that were used in the model fitting process. In some data sets, a small residual at the position of the atmospheric ozone feature at 9.6 μm can be detected, which remained after calibrating the data.

Footnotes

  • This is valid for the brightness distribution of NGC 3783 because we see a clear decrease of visibility with baseline length when the P.A.s are very similar.

  • 10 

    It has been speculated that the near-IR bump may be due to the fact that silicates and graphites sublimate at different temperatures and that small grains are cooling less efficiently, leading to a sublimation zone rather than a sublimation radius (e.g., Kishimoto et al. 2007; Mor & Netzer 2012). The Schartmann et al. (2009) models, however, do account for this effect by separating the grains (similar to the clumpy models in Schartmann et al. 2008), yet no 3–5 μm bump is seen.

  • 11 
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10.1088/0004-637X/771/2/87