| Title: |
Polarized Line Formation in Multi-dimensional Media. V. Effects of Angle-Dependent Partial Frequency Redistribution |
| Authors: |
Anusha, L. S., Nagendra, K. N. |
| Source: |
2012, ApJ, 746, 84 |
| Publication Year: |
2013 |
| Collection: |
Astrophysics |
| Subject Terms: |
Astrophysics - Solar and Stellar Astrophysics |
| More Details: |
The solution of polarized radiative transfer equation with angle-dependent (AD) partial frequency redistribution (PRD) is a challenging problem. Modeling the observed, linearly polarized strong resonance lines in the solar spectrum often requires the solution of the AD line transfer problems in one-dimensional (1D) or multi-dimensional (multi-D) geometries. The purpose of this paper is to develop an understanding of the relative importance of the AD PRD effects and the multi-D transfer effects and particularly their combined influence on the line polarization. This would help in a quantitative analysis of the second solar spectrum (the linearly polarized spectrum of the Sun). We consider both non-magnetic and magnetic media. In this paper we reduce the Stokes vector transfer equation to a simpler form using a Fourier decomposition technique for multi-D media. A fast numerical method is also devised to solve the concerned multi-D transfer problem. The numerical results are presented for a two-dimensional medium with a moderate optical thickness (effectively thin), and are computed for a collisionless frequency redistribution. We show that the AD PRD effects are significant, and can not be ignored in a quantitative fine analysis of the line polarization. These effects are accentuated by the finite dimensionality of the medium (multi-D transfer). The presence of magnetic fields (Hanle effect) modifies the impact of these two effects to a considerable extent. |
| Document Type: |
Working Paper |
| DOI: |
10.1088/0004-637X/746/1/84 |
| Access URL: |
http://arxiv.org/abs/1308.3443 |
| Accession Number: |
edsarx.1308.3443 |
| Database: |
arXiv |
