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Linear f REDHOLM integral equations for radiative transfer problems in finite plane parallel media. II. Imbedding in a semi‐infinite medium
Author(s) -
Domke H.
Publication year - 1978
Publication title -
astronomische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.394
H-Index - 63
eISSN - 1521-3994
pISSN - 0004-6337
DOI - 10.1002/asna.19782990206
Subject(s) - integral equation , physics , radiative transfer , slab , mathematical analysis , scattering , surface integral , azimuth , multiple integral , radiation , optics , mathematics , geophysics
By means of imbedding in a semi infinite medium linear F REDHOLM integral equations are derived for transfer problems of polarized radiation in a scattering slab of finite optical thickness. The integral equations are formulated in terms of surface G REEN 's function matrices and renormalized for the zeroth azimuthal F OURIER component relative to the asymptotic mode. Integral equations for the S TOKES vector of the emergent radiation for any distribution of primary sources as well as integral equations for the inner radiation field of the slab albedo problem are obtained. Asymptotic formulae are given describing the radiation field for slabs of great optical thickness.