Multidimensional radiative transfer - A single integral representation of anisotropic scattering kernels

Details Multidimensional radiative transfer - A single integral representation of anisotropic scattering kernels Multidimensional radiative transfer - A single integral representation of anisotropic scattering kernels

Sep 1989

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989jqsrt..42..239c&link_type=abstract

Journal of Quantitative Spectroscopy and Radiative Transfer (ISSN 0022-4073), vol. 42, Sept. 1989, p. 239-246.

Computer Science

6

Anisotropic Media, Kernel Functions, Radiative Transfer, Scattering Cross Sections, Integral Equations, Legendre Functions, Symbolic Programming

Scientific paper

A complicated kernel arising in the study of anisotropic scattering in a multidimensional media is investigated. The scattering phase function is represented by a series of Legendre polynomials. The kernel is transformed with a symbolic manipulator to a single integral form suitable for use in Ambarzumian's method. The results for a five term phase function are obtained. Single integral representations of the generalized exponential integral and its derivatives are also developed.

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