Accession Number : AD0646969

Title :   MULTIPLE ANISOTROPIC SCATTERING IN SLABS WITH AXIALLY SYMMETRIC FIELDS,

Corporate Author : RAND CORP SANTA MONICA CALIF

Personal Author(s) : Kagiwada,Harriet ; Kalaba,Robert

Report Date : FEB 1967

Pagination or Media Count : 53

Abstract : The invariant imbedding approach is applied to the problem of diffuse reflection from a slab having a strongly elongated phase function. The diffuse radiation field is assumed to be axially symmetric. For both analytical and computational convenience, the study suggests using a simple rational function to approximate a strongly peaked phase function. Basic equations are derived for the reflection and source functions, and the reflection function is computed as the solution of an initial-value problem for ordinary differential equations. Numerical results are tabulated for increasingly fierce forward scattering. Two FORTRAN IV programs are included: one for the reflection function and the other for interpolation by expansion in orthogonal polynomials. (Author)

Descriptors :   (*RAYLEIGH SCATTERING, NUMERICAL ANALYSIS), PHASE DISTORTION, INVARIANCE, COMPUTER PROGRAMS, TRANSPORT PROPERTIES, PROGRAMMING LANGUAGES, BOUNDARY VALUE PROBLEMS

Subject Categories : Theoretical Mathematics
      Optics

Distribution Statement : APPROVED FOR PUBLIC RELEASE