Radiative Transfer: Asymptotic Solution of the Kinetic Equation of Radiation Propagation, Asymptotic Approximation of the Nth Order and Refined Boundary Conditions

A new asymptotic approximation of the n th order is proposed for use in calculations of radiation propagation in optically thick media without scattering; the asymptotic approximation is simpler and more accurate than the well-known diffusion approximation. It is shown that for optically thick media...

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Bibliographic Details
Published inAstronomy reports Vol. 67; no. 12; pp. 1462 - 1472
Main Authors Serov, S. A., Serova, S. S.
Format Journal Article
LanguageEnglish
Published Moscow Pleiades Publishing 01.12.2023
Springer Nature B.V
Subjects
Approximation
Astronomy
Asymptotic methods
Asymptotic series
Boundary conditions
Kinetic equations
Mathematical analysis
Observations and Techniques
Physics
Physics and Astronomy
Radiative transfer
Scattering
asymptotic approximation of the
kinetic equation
radiative transfer
asymptotic solution
structure of the galaxy
stars
th order
refined boundary conditions
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Summary:A new asymptotic approximation of the n th order is proposed for use in calculations of radiation propagation in optically thick media without scattering; the asymptotic approximation is simpler and more accurate than the well-known diffusion approximation. It is shown that for optically thick media the asymptotic solution of the kinetic equation of radiation propagation without scattering is an asymptotic expansion of the exact integral solution of this kinetic equation. A rigorous derivation of the diffusion approximation equation is obtained. Refined boundary conditions that are important for practical application in calculations of radiation propagation are derived.
ISSN:1063-7729
1562-6881
DOI:10.1134/S1063772923120090