Radiative transfer in a spherical dust cloud. II - Asymptotic form of the reflection function for isotropic scattering

Statistics – Computation

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Asymptotic Methods, Computational Astrophysics, Interstellar Matter, Radiative Transfer, Albedo, Molecular Clouds, Scattering Functions

Scientific paper

The preparatory part of this paper deals with radiative transfer in a homogeneous spherical cloud with isotropic scattering and an arbitrary optical depth r along the radius. The main part derives the terms proportional to r-1 which form the asymptotic corrections to the reflection against and diffusion into a semi-infinite medium. The asymptotic form of the input-output function is expressed by means of a linear differential operator L with respect to μ, the cosine of the angle of incidence or emergence.

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