Issue |
A&A
Volume 585, January 2016
|
|
---|---|---|
Article Number | A28 | |
Number of page(s) | 5 | |
Section | Interstellar and circumstellar matter | |
DOI | https://doi.org/10.1051/0004-6361/201527134 | |
Published online | 10 December 2015 |
The close circumstellar environment of Betelgeuse
III. SPHERE/ZIMPOL imaging polarimetry in the visible⋆
1 Unidad Mixta Internacional Franco-Chilena de Astronomía (CNRS UMI 3386), Departamento de Astronomía, Universidad de Chile, Camino El Observatorio 1515, Las Condes, Santiago, Chile
e-mail: pkervell@das.uchile.cl
2 LESIA (UMR 8109), Observatoire de Paris, PSL, CNRS, UPMC, Univ. Paris-Diderot, 5 place Jules Janssen, 92195 Meudon, France
e-mail: pierre.kervella@obspm.fr
3 Laboratoire Lagrange (UMR 7293), UNSA, CNRS, Obs. de la Côte d’Azur, Bd de l’Observatoire, 06304 Nice Cedex 4, France
4 Institut de Radio-Astronomie Millimétrique, 300 rue de la Piscine, 38406 Saint Martin d’ Hères, France
5 National Optical Astronomy Observatories, 950 North Cherry Avenue, Tucson, AZ 85719, USA
6 European Southern Observatory, Alonso de Córdova 3107, Casilla 19001, Santiago 19, Chile
7 Institute for Astronomy, ETH Zurich, 8093 Zurich, Switzerland
8 Obs. de Lyon, CRAL, ENS Lyon, CNRS, Univ. Lyon 1, UMR 5574, 9 avenue Charles André, 69230 Saint-Genis Laval, France
9 Universidad de Concepción, Departamento de Astronomía, Casilla 160-C, Concepción, Chile
Received: 7 August 2015
Accepted: 29 October 2015
The physical mechanism through which the outgoing material of massive red supergiants is accelerated above the escape velocity is unclear. Thanks to the transparency of its circumstellar envelope, the nearby red supergiant Betelgeuse gives the opportunity to probe the innermost layers of the envelope of a typical red supergiant down to the photosphere, i.e. where the acceleration of the wind is expected to occur. We took advantage of the SPHERE/ZIMPOL adaptive optics imaging polarimeter to resolve the visible photosphere and close envelope of Betelgeuse. We detect an asymmetric gaseous envelope inside a radius of 2 to 3 times the near-infrared photospheric radius of the star (R⋆), and a significant Hα emission mostly contained within 3 R⋆. From the polarimetric signal, we also identify the signature of dust scattering in an asymmetric and incomplete dust shell located at a similar radius. The presence of dust so close to the star may have a significant impact on the wind acceleration through radiative pressure on the grains. The 3 R⋆ radius emerges as a major interface between the hot gaseous and dusty envelopes. The detected asymmetries strengthen previous indications that the mass loss of Betelgeuse is likely tied to the vigorous convective motions in its atmosphere.
Key words: stars: individual: Betelgeuse / stars: imaging / supergiants / circumstellar matter / techniques: polarimetric / techniques: high angular resolution
© ESO, 2015
1. Introduction
The role of convection in triggering the mass loss of evolved supergiants is still largely unclear. As the closest red supergiant (RSG), Betelgeuse is the best object to study the photosphere and close circumstellar envelope (CSE), thanks to its large limb darkened disk angular diameter (θLD = 42.3 ± 0.4 mas in the near-infared, from Montargès et al. 2014) and relatively transparent CSE. An overview of recent works on this star is presented in Kervella et al. (2013). From spectroscopic observations, Josselin & Plez (2007) proposed that convection, by lowering the effective gravity, could levitate the material above the photosphere and trigger the outflow in conjunction with radiative pressure on molecular lines. Large convective cells of the RSGs were predicted by Schwarzschild (1975) and imaged on Betelgeuse using interferometry by Haubois et al. (2009; see also Chiavassa et al. 2010). Ohnaka et al. (2011) reconstructed 1D profiles from spectrally dispersed interferometry, and identified upwards and downwards motions of CO that point to the role of convection in triggering the mass loss. Such behavior is consistent with the plumes extending to a few stellar radii in the near-infrared (Kervella et al. 2009). Aurière et al. (2010) discovered a magnetic field in Betelgeuse from spectro-polarimetry, a factor that could contribute to enhancing the outflow. Thermal emission from dust and molecules has also been detected close to the star by Perrin et al. (2007). The most important region where the wind is accelerated is located within a few stellar radii of the photosphere (Harper et al. 2009), i.e. at angular separations ≲0.1″. The new Spectro-Polarimetric High-contrast Exoplanet REsearch (SPHERE) instrument provides high Strehl adaptive optics (AO) correction in the visible (Strehl ratio S ≈ 30%, Table 1). This gives access to a resolution of ≈20 milliarcseconds (mas), thus resolving the photosphere and close-in CSE of Betelgeuse. The other AO systems currently operating at visible (or near-visible) wavelengths are MagAO (λ ≳ 600 nm, Close et al. 2013) and GPI (λ ≳ 900 nm, Perrin et al. 2015).
Log of the SPHERE/ZIMPOL observations of Betelgeuse and φ2 Ori (PSF calibrator).
2. Observations and data reduction
SPHERE (Beuzit et al. 2008; Fusco et al. 2014) is a high-performance AO installed at the Nasmyth focus of Unit Telescope 3 of the Very Large Telescope. Our observations were obtained on the night of 30 March 2015 using the Zurich IMaging POLarimeter (ZIMPOL, Roelfsema et al. 2014). We observed Betelgeuse and a point spread function (PSF) calibrator, φ2 Ori (HD 37160, spectral type K0IIIb) in the polarimetric P2 mode. φ2 Ori is unresolved by ZIMPOL (λ/D ≈ 14−19 mas, while θLD = 2.20 ± 0.02 mas, Bordé et al. 2002), and is also a photometric calibrator (Cohen et al. 1999). ZIMPOL includes an imaging polarimeter based on the fast modulation technique, with two cameras (hereafter cam1 and cam2) that allow for simultaneous observations at two different wavelengths (Schmid et al. 2012). We observed Betelgeuse and the PSF reference using four filters: V, CntHα, NHα and TiO717. The observations (Table 1) required 1.5 h of telescope time, and were taken without coronagraph. The total integration time for the two cameras is 1.3 h. Despite the extreme brightness of Betelgeuse, a neutral density of only ND1 was necessary in the CntHα and NHα. In the V and Ti0717 filters, we used a ND2 filter. The transmissions are 8.2% for the ND1 (uniformly for all filters) and between 0.62% and 0.89% for ND2 (SPHERE User Manual P95.2). A total of 48 data cubes were recorded on Betelgeuse (10 or 30 images per cube) and 52 cubes on φ2 Ori (6 images per cube). We processed the raw cubes using the data reduction pipeline (v. 0.14.0) and custom python routines following the procedure described by Kervella et al. (2015). We derive the total intensity I, the polarized flux P, the degree of linear polarization pL, and the polarization electric-vector position angle θ. The plate scale is 3.628 ± 0.036 mas pix-1 and the position angle of the vertical axis with respect to north is 357.95 ± 0.55 deg for both cam1 and cam2 (Ch. Ginski, priv. comm.). Examples of the resulting images of Betelgeuse and the PSF calibrator are presented in Fig. 1. The full width at half maximum θPSF of the PSF star images is around 20 mas in all filters, as listed in Table 1. Betelgeuse is thus resolved with approximately two resolution elements over its angular diameter. We based our flux calibration of the intensity frames of Betelgeuse on those of φ2 Ori, using photometry over a large 1.8″ circular aperture encompassing the AO halo. The resulting calibrated fluxes measured on Betelgeuse are listed in Table 2. We estimate the uncertainty on these fluxes to ± 5%. The magnitudes of Betelgeuse are found to be mV = 0.17 ± 0.05 and mR = −1.07 ± 0.05 (TiO717 filter). This is brighter than its average magnitude, consistent with the AAVSO light curve that shows a brightening of 0.3 mag between January and April 2015.
We deconvolved the I, P and pL images of Betelgeuse using the PSF total intensity maps I as dirty beam and the Lucy-Richardson (L-R) algorithm implemented in IRAF. We stopped the L-R deconvolution after 80 iterations, as the deconvolved images do not show a significant evolution for additional processing steps. The resulting I and pL deconvolved frames are presented in Fig. 2. The maps of the polarized flux P and of the polarization electric-vector position angle θ are shown in Fig. 3.
Photometry of Betelgeuse.
Fig. 1 Non-deconvolved intensity image of Betelgeuse (left) and the PSF reference φ2 Ori (right) in the CntHα filter. The gray scale is logarithmic and the field of view is 0.45″ × 0.45″. |
Fig. 2 Top row: intensity images I, with a square root gray scale from minimum to maximum intensity (in W m-2 μm-1 sr-1). The dashed red circle represents the size of the photosphere in the near-infrared (R⋆). The beam size (FWHM of the PSF star images) is shown as a white ellipse in the lower left corner. Bottom row: maps of the degree of linear polarization pL, with a linear color scale from 0 to 12% (identical for all maps). The field of view is 302 × 302 mas, and all frames have been deconvolved using IRAF’s lucy algorithm (80 steps). |
Fig. 3 Top row: polarized flux P (square root scale from minimum to maximum in W m-2 μm-1 sr-1). Bottom row: polarization electric-vector position angle. The dashed red circle shows the photospheric size in the near-infrared (R⋆), and the yellow dashed circle has a radius of 3 R⋆. |
3. Analysis
3.1. Photosphere and radial intensity profile
The shape of the visible photosphere of Betelgeuse (Fig. 2, top row) is found to deviate noticeably from spherical symmetry. The extension of the central brighter part of the star image is comparable to the infrared photospheric size. This relatively circular central component appears surrounded by extended plumes, the most prominent extending to the southwest (it is also observed in the infrared by Kervella et al. 2009). We also notice less extended northern and southern plumes. Figure 4 shows the radial median profiles of the intensity images of Betelgeuse in the four filters. The median angular diameters at half maximum are θ50%(V) = 40.1 mas, θ50%(CntHα) = 37.1 mas, θ50%(NHα) = 39.3 mas and θ50%(TiO717) = 42.6 mas. These sizes are consistent with the near-infrared photospheric (i.e. Rosseland) angular diameter. The diameters at 1% of the maximum are θ1%(V) = 107 mas, θ1%(CntHα) = 102 mas, θ1%(NHα) = 111 mas and θ1%(TiO717) = 120 mas.
3.2. Hα envelope
The CntHα filter is designed to map the continuum flux distribution close to the Hα wavelength. On Betelgeuse, the presence of a large number of electronic transitions in the visible results in a pseudo-continuum (Chiavassa et al. 2010). The bandpass of the NHα filter is presented in Fig. 5 with a spectrum of Betelgeuse obtained on 22 April 2015 with the CORALIE instrument (Queloz et al. 2001; Ségransan et al. 2010). As the bandpass is relatively large, it includes a contribution from outside the Hα line. Once subtracted from the NHα filter image, the emission from the hydrogen envelope is revealed. Using the photometrically calibrated images, the result of this subtraction is shown in Fig. 6. Both CntHα and NHα images are taken simultaneously using the two cameras of ZIMPOL, resulting in a perfect match of their PSFs. The central part of the differential image has a negative intensity as the line is in absorption in front of the stellar disk. It is interesting to note that it is also in absorption in front of the main continuum plume extending to the southwest. The Hα emission is detected up to a radius of 5 R⋆. It appears inhomogeneous, and is essentially contained within 3 R⋆ with a particularly strong emission around 2 R⋆. A more extended Hα plume is detected to the south of the star.
3.3. Origin of the polarized flux and dust shell geometry
A significant polarized flux P is detected around Betelgeuse in all filters (Fig. 3). It is asymmetric; its radial median profile is presented in Fig. 7. This polarization could, in principle, be created by light scattering by dust, molecules, or even clumps of free electrons. We favor the dust hypothesis for several reasons. The interferometric observations by Perrin et al. (2007) in the thermal infrared domain suggest that alumina is present within 1.5 R⋆. Kervella et al. (2011) also identified a compact unresolved emission at 20 μm (their Fig. 6) that points to the presence of dust within 0.3″ of the star; however, we cannot formally exclude a contribution to polarization from molecular scattering, as Betelgeuse is known to be surrounded by a molecular envelope. The fact that we observe a significant P flux superimposed over the photosphere indicates that multiple scattering may occur, as forward scattering is expected to produce little polarization. The maps of the degree of linear polarization (pL, Fig. 2) are sensitive to fainter contributions of the dust located at greater distances from the star where the background unpolarized flux contribution is lower. In typical Rayleigh conditions, high values of pL are created by ≈90° scattering of the stellar light, while the scattered flux fraction is lower than in the forward scattering case.
Fig. 4 Radial median intensity profile of the deconvolved images of Betelgeuse. The K band radius is indicated by a red dashed line. |
Although the average value of pL over the field is small (P/I = 0.49% in V, 1.28% in CntHα, 1.18% in NHα and 0.97% in TiO717), it reaches much higher values locally. The pL maps show a prominent curved high-polarization region in the northeast quadrant of Betelgeuse at a radius of 2 to 3 R∗ and a fainter shell-like structure surrounding the star at a similar radius. It is interesting to note that linear polarization in the R and I bands has been detected by Nordsieck et al. (1994) in Betelgeuse using the Wisconsin HPOL polarimeter (see also Uitenbroek et al. 1998). They indicate inhomogeneities at a position angle around 60° (or 240°), consistent with the position angle of the partial shell that we observe. The pL radial profile (Fig. 7) is similar for all filters, with a maximum around 3 R∗. The highest degree of linear polarization is observed in the CntHα filter and decreases for shorter and longer wavelengths. The slightly lower pL value in the NHα filter is likely caused by the presence of the unpolarized Hα emission from the gaseous component of the CSE. The maximum polarization occurs for scattering angles close to 90° for typical astrophysical dust (Draine 2003; see also Kervella et al. 2014). We thus interpret this signal as the signature of a geometrically thin, spherical dust shell of inhomogeneous surface density. The equilibrium temperature at radius R is where a is the albedo. Assuming a = 0.1 to 0.5, we obtain Teq = 1250 to 1450 K for Teff = 3641 K (Perrin et al. 2004). This temperature is consistent with the sublimation of olivine particles (Kobayashi et al. 2011), but the actual dust species, likely O-rich, remains uncertain. The 3 R⋆ radius is larger than the radius measured by Perrin et al. (2007) using MIDI (1.4 R⋆), who suggested the presence of the highly refractory Al2O3 (alumina). A dedicated radiative transfer modeling will be presented in a future publication, in particular with the aim of estimating the total dust mass.
Fig. 5 CORALIE spectrum of Betelgeuse around the Hα line, with the NHα filter bandpass shown as an orange segment. |
Fig. 6 Left: map of the Hα circumstellar emission of Betelgeuse. The color scale is linear in W m-2 μm-1 sr-1. The contours are from 1 to 105 W m-2 μm-1 sr-1 in absolute value, with a factor 10 spacing. The dashed red circle shows the infrared photosphere, and the dashed blue circle 3× its radius. The ellipse in the bottom left is the ZIMPOL beam. Right: color composite of the V, CntHα and TiO717 images. |
Fig. 7 Top panel: radial median profile of the polarized flux P. Bottom panel: radial average profile of pL between azimuth 10° and 100°. Both plots are based on the lucy deconvolved maps (80 steps). |
4. Conclusion
We presented polarimetric images of Betelgeuse that resolve its visible photosphere and inner CSE. The presence of gaseous plumes within 3 R⋆ is consistent with the infrared observations by Kervella et al. (2009). They indicate that the close environment of Betelgeuse is not spherically homogeneous, and that significantly different physical conditions (temperature, gas density) exist at the same radius from the star. Departure from spherical symmetry is also found in the dust envelope at large distances from the star (Kervella et al. 2011; Decin et al. 2012) and it may play a fundamental role in the formation of molecules and dust grains. The observed degree of linear polarization indicates the presence of light scattering dust at 3 R⋆ that survives at T ≈ 1300 K. The detected Hα emission presents an inhomogeneous distribution, mostly around 2 R⋆. A speculative interpretation for the inhomogeneity of the dust layer is that the hot gaseous plumes may locally sublimate the dust, resulting in the observed irregular dust density in the shell. We note that dust may be present closer to the photosphere, but its polarimetric signature is likely masked by the unpolarized emission from the gaseous CSE. The 3 R⋆ radius emerges as an important interface between the internal gaseous CSE and the dust forming region. The presence of dust so close to the star may play an important role in the mass loss mechanism, for example, through radiative pressure on dust grains. The dust shell identified between 0.5 and 1″ by Kervella et al. (2011) in the thermal infrared could correspond to other types of oxygen-rich dust. The environment of Betelgeuse thus appears as radially structured and generally departing from spherical symmetry. Future observations of the time evolution of the inner envelope with AO and interferometry will bring valuable insight to its complex dynamics.
Available at http://www.astropy.org/
Acknowledgments
We are grateful to the SPHERE instrument team for the successful execution of the observations in difficult conditions. We acknowledge financial support from the “Programme National de Physique Stellaire” (PNPS) of CNRS/INSU, France. The CORALIE observations were made under program CNTAC CN2015A-6. S.T.R. acknowledges partial support by NASA grant NNH09AK731. A.G. acknowledges support from FONDECYT grant 3130361. This research received the support of PHASE, the partnership between ONERA, Observatoire de Paris, CNRS and University Denis Diderot Paris 7. P.K. and A.G. acknowledge support of the French-Chilean exchange program ECOS-Sud/CONICYT. We acknowledge with thanks the variable star observations from the AAVSO International Database contributed by observers worldwide and used in this research. This research made use of Astropy1(Astropy Collaboration et al. 2013) the SIMBAD and VIZIER databases (CDS, Strasbourg, France) and NASA’s Astrophysics Data System.
References
- Astropy Collaboration, Robitaille, T. P., Tollerud, E. J., et al. 2013, A&A, 558, A33 [NASA ADS] [CrossRef] [EDP Sciences] [Google Scholar]
- Aurière, M., Donati, J.-F., Konstantinova-Antova, R., et al. 2010, A&A, 516, L2 [NASA ADS] [CrossRef] [EDP Sciences] [Google Scholar]
- Beuzit, J.-L., Feldt, M., Dohlen, K., et al. 2008, in SPIE Conf. Ser., 7014, 18 [Google Scholar]
- Bordé, P., Coudé du Foresto, V., Chagnon, G., & Perrin, G. 2002, A&A, 393, 183 [NASA ADS] [CrossRef] [EDP Sciences] [Google Scholar]
- Chiavassa, A., Haubois, X., Young, J. S., et al. 2010, A&A, 515, A12 [NASA ADS] [CrossRef] [EDP Sciences] [Google Scholar]
- Close, L. M., Males, J. R., Morzinski, K., et al. 2013, ApJ, 774, 94 [NASA ADS] [CrossRef] [Google Scholar]
- Cohen, M., Walker, R. G., Carter, B., et al. 1999, AJ, 117, 1864 [NASA ADS] [CrossRef] [Google Scholar]
- Decin, L., Cox, N. L. J., Royer, P., et al. 2012, A&A, 548, A113 [NASA ADS] [CrossRef] [EDP Sciences] [Google Scholar]
- Draine, B. T. 2003, ApJ, 598, 1017 [NASA ADS] [CrossRef] [Google Scholar]
- Fusco, T., Sauvage, J.-F., Petit, C., et al. 2014, in SPIE Conf. Ser., 9148, 1 [Google Scholar]
- Harper, G. M., Richter, M. J., Ryde, N., et al. 2009, ApJ, 701, 1464 [NASA ADS] [CrossRef] [Google Scholar]
- Haubois, X., Perrin, G., Lacour, S., et al. 2009, A&A, 508, 923 [NASA ADS] [CrossRef] [EDP Sciences] [Google Scholar]
- Josselin, E., & Plez, B. 2007, A&A, 469, 671 [NASA ADS] [CrossRef] [EDP Sciences] [Google Scholar]
- Kervella, P., Verhoelst, T., Ridgway, S. T., et al. 2009, A&A, 504, 115 [NASA ADS] [CrossRef] [EDP Sciences] [Google Scholar]
- Kervella, P., Perrin, G., Chiavassa, A., et al. 2011, A&A, 531, A117 [NASA ADS] [CrossRef] [EDP Sciences] [Google Scholar]
- Kervella, P., Le Bertre, T., & Perrin, G. 2013, EAS Pub. Ser. 60, Betelgeuse Workshop 2012 [Google Scholar]
- Kervella, P., Bond, H. E., Cracraft, M., et al. 2014, A&A, 572, A7 [NASA ADS] [CrossRef] [EDP Sciences] [Google Scholar]
- Kervella, P., Montargès, M., Lagadec, E., et al. 2015, A&A, 578, A77 [NASA ADS] [CrossRef] [EDP Sciences] [Google Scholar]
- Kobayashi, H., Kimura, H., Watanabe, S.-i., Yamamoto, T., & Müller, S. 2011, Earth Planets Space, 63, 1067 [Google Scholar]
- Montargès, M., Kervella, P., Perrin, G., et al. 2014, A&A, 572, A17 [NASA ADS] [CrossRef] [EDP Sciences] [Google Scholar]
- Nordsieck, K. H., Rao, L., Meade, M. R., et al. 1994, BAAS, 26, 864 [NASA ADS] [Google Scholar]
- Ohnaka, K., Weigelt, G., Millour, F., et al. 2011, A&A, 529, A163 [NASA ADS] [CrossRef] [EDP Sciences] [Google Scholar]
- Perrin, G., Ridgway, S. T., Coudé du Foresto, V., et al. 2004, A&A, 418, 675 [NASA ADS] [CrossRef] [EDP Sciences] [Google Scholar]
- Perrin, G., Verhoelst, T., Ridgway, S. T., et al. 2007, A&A, 474, 599 [NASA ADS] [CrossRef] [EDP Sciences] [Google Scholar]
- Perrin, M. D., Duchene, G., Millar-Blanchaer, M., et al. 2015, ApJ, 799, 182 [Google Scholar]
- Queloz, D., Mayor, M., Udry, S., et al. 2001, The Messenger, 105, 1 [NASA ADS] [Google Scholar]
- Roelfsema, R., Bazzon, A., Schmid, H. M., et al. 2014, in SPIE Conf. Ser., 9147, 3 [Google Scholar]
- Schmid, H.-M., Downing, M., Roelfsema, R., et al. 2012, in SPIE Conf. Ser., 8446, 8 [Google Scholar]
- Schwarzschild, M. 1975, ApJ, 195, 137 [NASA ADS] [CrossRef] [Google Scholar]
- Ségransan, D., Udry, S., Mayor, M., et al. 2010, A&A, 511, A45 [NASA ADS] [CrossRef] [EDP Sciences] [Google Scholar]
- Uitenbroek, H., Dupree, A. K., & Gilliland, R. L. 1998, AJ, 116, 2501 [NASA ADS] [CrossRef] [Google Scholar]
All Tables
All Figures
Fig. 1 Non-deconvolved intensity image of Betelgeuse (left) and the PSF reference φ2 Ori (right) in the CntHα filter. The gray scale is logarithmic and the field of view is 0.45″ × 0.45″. |
|
In the text |
Fig. 2 Top row: intensity images I, with a square root gray scale from minimum to maximum intensity (in W m-2 μm-1 sr-1). The dashed red circle represents the size of the photosphere in the near-infrared (R⋆). The beam size (FWHM of the PSF star images) is shown as a white ellipse in the lower left corner. Bottom row: maps of the degree of linear polarization pL, with a linear color scale from 0 to 12% (identical for all maps). The field of view is 302 × 302 mas, and all frames have been deconvolved using IRAF’s lucy algorithm (80 steps). |
|
In the text |
Fig. 3 Top row: polarized flux P (square root scale from minimum to maximum in W m-2 μm-1 sr-1). Bottom row: polarization electric-vector position angle. The dashed red circle shows the photospheric size in the near-infrared (R⋆), and the yellow dashed circle has a radius of 3 R⋆. |
|
In the text |
Fig. 4 Radial median intensity profile of the deconvolved images of Betelgeuse. The K band radius is indicated by a red dashed line. |
|
In the text |
Fig. 5 CORALIE spectrum of Betelgeuse around the Hα line, with the NHα filter bandpass shown as an orange segment. |
|
In the text |
Fig. 6 Left: map of the Hα circumstellar emission of Betelgeuse. The color scale is linear in W m-2 μm-1 sr-1. The contours are from 1 to 105 W m-2 μm-1 sr-1 in absolute value, with a factor 10 spacing. The dashed red circle shows the infrared photosphere, and the dashed blue circle 3× its radius. The ellipse in the bottom left is the ZIMPOL beam. Right: color composite of the V, CntHα and TiO717 images. |
|
In the text |
Fig. 7 Top panel: radial median profile of the polarized flux P. Bottom panel: radial average profile of pL between azimuth 10° and 100°. Both plots are based on the lucy deconvolved maps (80 steps). |
|
In the text |
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.