Green's functions for the equation of radiative transfer in an infinite homogeneous medium with spherically symmetric distribution of the sources

Details Green's functions for the equation of radiative transfer in an infinite homogeneous medium with spherically symmetric distribution of the sources Green's functions for the equation of radiative transfer in an infinite homogeneous medium with spherically symmetric distribution of the sources

Jan 1984

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984afz....20..133k&link_type=abstract

(Astrofizika, vol. 20, Jan.-Feb. 1984, p. 133-147) Astrophysics (ISSN 0571-7132), vol. 20, no. 1, July 1984, p. 86-95. Translati

Statistics

Computation

5

Computational Astrophysics, Green'S Functions, Radiative Transfer, Scattering Functions, Anisotropic Media, Eigenvalues, Eigenvectors, Orthogonal Functions

Scientific paper

The homogeneous equation of radiative transfer in an anisotropically scattering spherically symmetric medium is solved. A complete system of singular eigenfunctions of this equation is found. The condition of orthogonality of these functions for the complete interval of variation of the angular variable is obtained. It is shown that the eigenvalues of the transfer equation for spherical and plane geometry are equal. The Green's functions of problems with spherical symmetry for an infinite homogeneous medium are constructed.

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