RADIATIVE TRANSFER IN PLANE-PARALLEL MEDIA AND CAUCHY INTEGRAL EQUATIONS. I. THEN-FUNCTION

DOI10.1081/TT-120015629zbMath1021.45002OpenAlexW1971405898MaRDI QIDQ4804713

J. Bergeat, Bernard Rutily

Publication date: 22 October 2003

Published in: Transport Theory and Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1081/tt-120015629

zbMATH Keywords

singular integral equationslight scatteringisotropic scattering\(N\)-functionradiative transfer equationCauchy integral equationPlemelj's formulaeplane parallel geometry

Mathematics Subject Classification ID

Diffraction, scattering (78A45) Waves and radiation in optics and electromagnetic theory (78A40) Integral equations with kernels of Cauchy type (45E05)

Related Items (3)

Application of Wiener-Hopf technique to linear nonhomogeneous integral equations for a new representation of Chandrasekhar's \(H\)-function in radiative transfer, its existence and uniqueness ⋮ Solution of Riemann-Hilbert problems for determination of new decoupled expressions of Chandrasekhar's \(X\)- and \(Y\)-functions for slab geometry in radiative transfer ⋮ The finite Laplace transform for solving a weakly singular integral equation occurring in transfer theory

Cites Work

• Elementary solutions of the transport equation and their applications

This page was built for publication: RADIATIVE TRANSFER IN PLANE-PARALLEL MEDIA AND CAUCHY INTEGRAL EQUATIONS. I. THEN-FUNCTION