Accession Number : AD0610752

Title :   INVARIANT IMBEDDING AND THE COMPUTATION OF INTERNAL FIELDS FOR TRANSPORT PROCESSES.

Descriptive Note : Memorandum,

Corporate Author : RAND CORP SANTA MONICA CALIF

Personal Author(s) : Bellman,R. E. ; Kagiwada,H. H. ; Kalaba,R. E. ; Ueno,Sueo

Report Date : FEB 1965

Pagination or Media Count : 16

Abstract : A classical problem of long standing in the theory of transport processes is the determination of the internal intensity function in a finite, homogeneous, isotropically scattering slab which is illuminated by uniform parallel rays of radiation. The authors provide an effective computational solution for this problem using an imbedding technique. They show how to compute the source function, characterized as the solution of a system of ordinary differential equations with a complete set of initial conditions. The X and Y functions of Chandrasekhar play a key role. (Author)

Descriptors :   (*ELECTROMAGNETIC FIELDS, INTEGRAL EQUATIONS), (*INTEGRAL EQUATIONS, ELECTROMAGNETIC FIELDS), TRANSPORT PROPERTIES, SCATTERING, OPTICAL PROPERTIES, LIGHT, BOUNDARY VALUE PROBLEMS, DIFFUSION, HEAT TRANSFER, ELECTROMAGNETIC RADIATION, WAVE PROPAGATION, PROPAGATION, NUMERICAL METHODS AND PROCEDURES

Distribution Statement : APPROVED FOR PUBLIC RELEASE