Application of the Singularity-Subtraction Technique to Isotropic Scattering in a Planar Layer

Author

Alfred L. Crosbie, Missouri University of Science and TechnologyFollow
Milin Pattabongse

Abstract

A numerical procedure for solving a singular Fredholm integral equation, which describes radiative transfer in an absorbing and isotropically scattering layer exposed to collimated radiation, is studied. The integral equation is solved by subtracting out the singularity and then approximating the integral term by a Gaussian quadrature. Bidirectional and hemispherical properties are found from the source function. Any arbitrary directional distribution of incident radiation can be handled by superimposing the collimated radiation case. In particular, the case of isotropic incident radiation is presented. The method gives accurate results, even for the extreme conditions of large optical thickness and large angle of incidence. © 1985.

Recommended Citation

A. L. Crosbie and M. Pattabongse, "Application of the Singularity-Subtraction Technique to Isotropic Scattering in a Planar Layer," Journal of Quantitative Spectroscopy and Radiative Transfer, Elsevier, Jan 1985.

The definitive version is available at https://doi.org/10.1016/0022-4073(85)90141-4

Department(s)

Mechanical and Aerospace Engineering

International Standard Serial Number (ISSN)

0022-4073

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 1985 Elsevier, All rights reserved.

Publication Date

01 Jan 1985