Accession Number : AD0635284

Title :   REDUCTION OF THE EQUATIONS OF RADIATIVE TRANSFER FOR A PLANE-PARALLEL, PLANETARY ATMOSPHERE: PART I,

Corporate Author : RAND CORP SANTA MONICA CALIF

Personal Author(s) : Sekera, Zdenek

Report Date : JUN 1966

Pagination or Media Count : 84

Abstract : A discussion is presented of the reduction of the equations of radiative transfer when the phase matrix is 'separable.' A separable matrix is one that can be expressed as the product of two matrices, one whose elements depend on the directional parameters of the incident beam alone, and the other whose elements depend on the directional parameters of the scattered beam alone. When the phase matrix can be developed as a harmonic series in the azimuth difference between the vertical planes containing the scattered and incident beams and each term of this series is separable, the radiative transfer equations have 'series' solutions with each term in these series being given by a product of three matrices; one of these is azimuth-independent, the other two, which post- and pre-multiply this matrix, are the same matrices whose product forms the corresponding term in the phase matrix. (Author)

Descriptors :   (*PLANETARY ATMOSPHERES, *TRANSPORT PROPERTIES), RAYLEIGH SCATTERING, MATRICES(MATHEMATICS), INTEGRAL EQUATIONS, DIFFERENTIAL EQUATIONS

Subject Categories : Astrophysics

Distribution Statement : APPROVED FOR PUBLIC RELEASE