Mathematics
Scientific paper
Oct 1983
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983prpa.rept....1s&link_type=abstract
Polarization radiation in the planetary atmosphere delimited by a heterogeneous diffusely reflecting surface Transl. into ENGLI
Mathematics
Atmospheric Models, Atmospheric Radiation, Atmospheric Scattering, Planetary Radiation, Polarization Characteristics, Polarized Radiation, Scattering Functions, Vectors (Mathematics), Albedo, Bouguer Law, Boundary Value Problems, Lambert Surface, Linear Systems, Nonlinear Systems, Perturbation, Planetary Atmospheres, Stokes Law Of Radiation, Transfer Functions
Scientific paper
Spatial frequency characteristics (SFC) and the scattering functions were studied in the two cases of a uniform horizontal layer with absolutely black bottom, and an isolated layer. The mathematical model for these examples describes the horizontal heterogeneities in a light field with regard to radiation polarization in a three dimensional planar atmosphere, delimited by a heterogeneous surface with diffuse reflection. The perturbation method was used to obtain vector transfer equations which correspond to the linear and nonlinear systems of polarization radiation transfer. The boundary value tasks for the vector transfer equation that is a parametric set and one dimensional are satisfied by the SFC of the nonlinear system, and are expressed through the SFC of linear approximation. As a consequence of the developed theory, formulas were obtained for analytical calculation of albedo in solving the task of dissemination of polarization radiation in the planetary atmosphere with uniform Lambert bottom.
Strelkov A. S.
Sushkevich T. A.
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