Radiative transfer in plane-parallel media and Cauchy integral equations III. The finite case

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dc.creatorRutily, B.
dc.creatorChevallier, L.
dc.creatorBergeat, J.
dc.date2006-01-16
dc.date.accessioned2026-07-07T06:56:59Z
dc.date.available2026-07-07T06:56:59Z
dc.descriptionWe 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 $ζ_+$ and $ζ_-$ 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.
dc.description26 pages, Transport Theory and Statistical Physics, submitted January 2003
dc.identifierhttps://arxiv.org/abs/astro-ph/0601351
dc.identifierhttp://arxiv.org/abs/astro-ph/0601351
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/106807
dc.subjectAstrophysics
dc.titleRadiative transfer in plane-parallel media and Cauchy integral equations III. The finite case
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