
Accession Number : AD0648506
Title : THE EQUIVALENCE OF THE ISOTROPIC AND MONODIRECTIONAL SOURCE PROBLEMS,
Corporate Author : RAND CORP SANTA MONICA CALIF
Personal Author(s) : Kagiwada,H. H. ; Kalaba,R. E.
Report Date : MAR 1967
Pagination or Media Count : 13
Abstract : A demonstration that the solution of the problem of multiple scattering in a slab that is illuminated by parallel rays of radiation can be expressed in terms of the solution of the problem in which there are isotropic sources of radiation. The quantities of interest for the monodirectional case (the X, Y, I, S, J, and T functions) are given algebraically in terms of the b and h functions that express the internal intensities for the isotropic source problem. For I, this avoids a matrix inversion, thus overcoming a difficulty associated with the direct application of Chandrasekhar's invariance principles. This study is an extension of RM4906PR (AD630 121). (Author)
Descriptors : (*TRANSPORT PROPERTIES, *ATMOSPHERES), SCATTERING, INTEGRAL EQUATIONS, DIFFERENTIAL EQUATIONS, NUMERICAL METHODS AND PROCEDURES, INVARIANCE
Subject Categories : Atmospheric Physics
Theoretical Mathematics
Distribution Statement : APPROVED FOR PUBLIC RELEASE