Auxiliary functions for radiative transfer problems in plane-parallel geometry. I. The infinite medium.

Details Auxiliary functions for radiative transfer problems in plane-parallel geometry. I. The infinite medium. Auxiliary functions for radiative transfer problems in plane-parallel geometry. I. The infinite medium.

Jun 1996

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1996jqsrt..55..715b&link_type=abstract

Journal of Quantitative Spectroscopy and Radiative Transfer, vol. 55, issue 6, pp. 715-729

Physics

1

Radiative Transfer: Scattering

Scientific paper

The auxiliary functions occurring in the solution of radiative transfer problems in plane-parallel, homogeneous media with isotropic light scattering are investigated. In an infinite medium, they can be deduced from the classical resolvent function φ∞ and its generalization η∞ to non-vanishing values of a generalized angular variable. The analytical properties of the η∞-function are studied and exact expressions are derived. An integral term is involved in these expressions, which is the only difficulty raised when proceeding to their numerical evaluation. Ten-digit values of the φ∞- and η∞-functions are finally tabulated.

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