Solution of the radiative transfer equation in the separable approximation
Astrophysics
2007-05-23 v1
Abstract
A method for the fast and accurate solution of the radiative transfer equation in plane-parallel media with coherent isotropic scattering is presented. This largely analytical approach uses the formalism of meromorphic functions in order to obtain the total solution, i.e. the angle and depth variation of the radiation field. A discretization of space and angle coordinates is not required. For the further application in the accretion disks a particular case of a finite slab whose the midplane is the symmetry plane is considered.
Cite
@article{arxiv.astro-ph/0110586,
title = {Solution of the radiative transfer equation in the separable approximation},
author = {G. V. Efimov and N. V. Kryzhevoi and W. von Waldenfels and R. Wehrse},
journal= {arXiv preprint arXiv:astro-ph/0110586},
year = {2007}
}
Comments
20 pages, 4 figures, submitted to Reports on Mathematical Physics