Accession Number : AD0278263

Title :   UNIQUENESS PROBLEMS IN THE MATHEMATICS OF MULTIPLE SCATTERING

Corporate Author : RAND CORP SANTA MONICA CALIF

Personal Author(s) : MULLIKIN,T.W.

Report Date : JUN 1962

Pagination or Media Count : 1

Abstract : Some recent mathematical studies concerning the uniqueness of solutions to Chandrasekhar's mathematical formulation of principles of invariance in the theory of radiative transfer are reported. It is shown that the X and Y equations and the psi and phi equations of Chandrasekhar have a multiplicity of solutions for many phase functions describing local scattering, the extent of the nonuniqueness having been only partially explored by Chandrasekhar. The present results should be of interest and concern to those attempting to solve these equations by numerical iteration. (Author)

Descriptors :   DIFFERENTIAL EQUATIONS, ELECTROMAGNETIC WAVE REFLECTIONS, EQUATIONS, FUNCTIONS(MATHEMATICS), INTEGRAL EQUATIONS, INTENSITY, MATHEMATICAL ANALYSIS, NONLINEAR DIFFERENTIAL EQUATIONS, POLYNOMIALS, SERIES(MATHEMATICS), THEORY, WAVE PROPAGATION

Distribution Statement : APPROVED FOR PUBLIC RELEASE