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- W2023147240 abstract "Linear FREDHOLM integral equations are derived for the STOKES 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 GREEN'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.Lineare FREDHOLMsche Integralgleichungen werden abgeleitet fur den STOKESvektor der aus einem streuenden planparallelen Medium endlicher optischer Dicke austretenden Strahlung. Die Integralgleichungen werden mit Hilfe der Einbettung der Schicht in ein unendliches Medium erhalten. Sie werden fur die GREENschen Funktionen formuliert und bezuglich des asymptotischen Eigenmodes renormalisiert. Explizit werden die Integralgleichungen fur die Reflexions-und Transmissionsmatrizen angegeben. Das Reziprozitatsprinzip wird angewandt, um auch Integralgleichungen fur die mittlere Intensitat des inneren Strahlungsfeldes beim Albedoproblem zu erhalten." @default.
- W2023147240 created "2016-06-24" @default.
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- W2023147240 date "1978-01-01" @default.
- W2023147240 modified "2023-09-26" @default.
- W2023147240 title "Linear fREDHOLM integral equations for radiative transfer problems in finite plane parallel media. I. Imbedding in an infinite medium" @default.
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- W2023147240 doi "https://doi.org/10.1002/asna.19782990205" @default.
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