The Transport Equation of Radiative Transfer in a Three-dimensional Space with Anisotropic Scattering

1 June 1967

journal article
Published by Oxford University Press (OUP) in IMA Journal of Applied Mathematics

Vol. 3 (2) , 181-192
https://doi.org/10.1093/imamat/3.2.181

Abstract

The exact solution of a radiative transfer problem requires the reduction of the integro-differential transport equation to an integral equation. This paper considers the transport equation in a general three-dimensional space, when the scattering function consists of the first three terms of a series of Legendre polynomials. The resulting integral equations may then be used for the solution of Radiative Transfer problems in any space. where the radiation is restricted to normal incidence.

Keywords

RADIATIVE TRANSFER
ANISOTROPIC SCATTERING
DIMENSIONAL SPACE
TRANSPORT EQUATION

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