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- W1546852241 abstract "We come back to the Cauchy integral equations occurring in radiative transfer problems posed in finite, plane-parallel media with light scattering taken as monochromatic and isotropic. Their solution is calculated following the classical scheme where a Cauchy integral equation is reduced to a couple of Fredholm integral equations. It is expressed in terms of two auxiliary functions $zeta_+$ and $zeta_-$ we introduce in this paper. These functions show remarkable analytical properties in the complex plane. They satisfy a simple algebraic relation which generalizes the factorization relation of semi-infinite media. They are regular in the domain of the Fredholm integral equations they satisfy, and thus can be computed accurately. As an illustration, the X- and Y-functions are calculated in the whole complex plane, together with the extension in this plane of the so-called Sobouti's functions." @default.
- W1546852241 created "2016-06-24" @default.
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- W1546852241 date "2006-01-16" @default.
- W1546852241 modified "2023-09-27" @default.
- W1546852241 title "Radiative transfer in plane-parallel media and Cauchy integral equations III. The finite case" @default.
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- W1546852241 doi "https://doi.org/10.48550/arxiv.astro-ph/0601351" @default.
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