External radiation field in Rayleigh-Cabannes atmospheres with constant and linear sources

Details External radiation field in Rayleigh-Cabannes atmospheres with constant and linear sources External radiation field in Rayleigh-Cabannes atmospheres with constant and linear sources

Dec 1992

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992ap%26ss.198..265v&link_type=abstract

Astrophysics and Space Science (ISSN 0004-640X), vol. 198, no. 2, p. 265-280.

Mathematics

5

Atmospheric Radiation, Matrices (Mathematics), Atmospheric Scattering, Energy Sources, Iterative Solution

Scientific paper

The external field of radiation in Rayleigh-Cabannes atmospheres with constant and linear sources is found using the resolvent matrix approach. If the internal sources are constant the external field may be described by the X-, Y-, and H-matrices. For the case with linear sources we need the derivatives of these matrices with respect to angular variable. The respective scheme for their determination is given. A set of integro-differential equations for the X- and Y-matrices is derived and solved numerically. Some relations between the moments of the H-matrix are given and a sample of results for external fields are provided.

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