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Linear f REDHOLM integral equations for radiative transfer problems in finite plane parallel media. I. Imbedding in an 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.19782990205
Subject(s) - integral equation , reciprocity (cultural anthropology) , physics , fredholm integral equation , mathematical analysis , radiative transfer , integral transform , scattering , mathematics , optics , psychology , social psychology
Linear F REDHOLM integral equations are derived for the S TOKES vector of the radiation emerging from a scattering plane parallel medium of finite optical thickness. The integral equations are obtained by means of imbedding the slab in an infinite medium. They are formulated in terms of G REEN 's function matrices and renormalized for the asymptotic eigenmode. Explicitly, linear integral equations are given for the reflection and transmission matrices. The reciprocity principle is employed to obtain integral equations also for the mean intensity of the inner radiation field in the case of the slab albedo problem.