Solution of the radiative transfer equation in the separable approximation

Details Solution of the radiative transfer equation in the separable approximation Solution of the radiative transfer equation in the separable approximation

2001-10-27

arxiv.org/abs/astro-ph/0110586v1

Astronomy and Astrophysics

Astrophysics

20 pages, 4 figures, submitted to Reports on Mathematical Physics

Scientific paper

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.

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