
Accession Number : AD0635284
Title : REDUCTION OF THE EQUATIONS OF RADIATIVE TRANSFER FOR A PLANEPARALLEL, 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 azimuthindependent, the other two, which post and premultiply 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