Asymptotic analysis of resonance polarization and escape probability approximations
Abstract
Polarized transfer asymptotic and first order escape probability methods developed for the nonpolarized case are generalized to include linear polarization produced by the scattering of anisotropic radiation in the absence of magnetic fields. The analyses are based on a coupled integral equation for twoangledependent source functions. Some general properties, such as the order of magnitude of the surface polarization and approximations for the source functions, are deduced. The escape probability approximations are compared with exact solutions and found to be more accurate than first order perturbation techniques for lines of moderate optical thickness in solar isothermal prominences.
 Publication:

Astronomy and Astrophysics
 Pub Date:
 July 1989
 Bibcode:
 1989A&A...219..338F
 Keywords:

 Asymptotic Methods;
 Line Spectra;
 Linear Polarization;
 Atomic Spectra;
 Integral Equations;
 Optical Thickness;
 Wave Scattering;
 Astronomy