
Accession Number : AD0610555
Title : ANALYTICAL AND COMPUTATIONAL TECHNIQUES FOR MULTIPLE SCATTERING IN INHOMOGENEOUS FINITE SLABS,
Corporate Author : RAND CORP SANTA MONICA CALIF
Personal Author(s) : Bellman,R. E. ; Kagiwada,H. H. ; Kalaba,R. E. ; Ueno,Sueo
Report Date : JAN 1965
Pagination or Media Count : 21
Abstract : In AD437 813 and AD610 061 the invariant imbedding and resolvent procedures were applied to the solution of the photon diffusion equation in a finite homogeneous slab. In this memorandum these techniques are extended to determine the integrodifferential equations for the photon emergence probability in a finite isotropically scattering flat layer of arbitrary stratification. Furthermore, several integrodifferential equations for Chandrasekhar's X and Y functions are found, taking into consideration the polarity of the radiation.
Descriptors : (*PHOTONS, SCATTERING), QUANTUM THEORY, DIFFUSION, LIGHT, PROBABILITY, QUANTUM STATISTICS, DIFFERENTIAL EQUATIONS, INTEGRAL EQUATIONS, FUNCTIONS(MATHEMATICS)
Distribution Statement : APPROVED FOR PUBLIC RELEASE