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 AD-437 813 and AD-610 061 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 integro-differential equations for the photon emergence probability in a finite isotropically scattering flat layer of arbitrary stratification. Furthermore, several integro-differential 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