Three-Dimensional Radiative Transfer in an Isotropically Scattering, Plane-Parallel Medium: Generalized X- And Y-Functions
Abstract
The topic of this work is the generalized X- and Y-functions of multidimensional radiative transfer. The physical problem considered is spatially varying, collimated radiation incident on the upper boundary of an isotropically scattering, plane-parallel medium. An integral transform is used to reduce the three-dimensional transport equation to a one-dimensional form, and a modified Ambarzumian's method is used to derive coupled, integro-differential equations for the source functions at the boundaries of the medium. The resulting equations are said to be in double-integral form because the integration is over both angular variables. Numerical results are presented to illustrate the computational characteristics of the formulation.
Recommended Citation
A. L. Crosbie and D. W. Mueller, "Three-Dimensional Radiative Transfer in an Isotropically Scattering, Plane-Parallel Medium: Generalized X- And Y-Functions," Journal of Quantitative Spectroscopy and Radiative Transfer, Elsevier, Jan 2005.
Department(s)
Mechanical and Aerospace Engineering
Sponsor(s)
National Science Foundation (U.S.)
Keywords and Phrases
Three-Dimensional; Isotropic Scattering; X- and Y- Functions; Radiative transfer
International Standard Serial Number (ISSN)
0022-4073
Document Type
Article - Journal
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 2005 Elsevier, All rights reserved.
Publication Date
01 Jan 2005
