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Exact solution of the standard transfer problem in a stellar atmosphere

arXiv:astro-ph/0504049 · doi:10.1016/j.jqsrt.2004.05.065

Abstract

We come back to the analytical solution of the standard transfer problem in a stellar atmosphere. It consists in solving the radiative transfer equation in a homogeneous and isothermal plane-parallel atmosphere, with light scattering taken as isotropic and monochromatic. The literature on the subject is reviewed and the existing solution in a finite slab is improved thanks to the introduction of non classical auxiliary functions. Eleven-figure tables of the solution are given for typical values of the input parameters currently met in stellar atmospheres.

23 pages, 1 figure