Computer Science – Numerical Analysis
Scientific paper
Sep 1987
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987jqsrt..38..231c&link_type=abstract
Journal of Quantitative Spectroscopy and Radiative Transfer (ISSN 0022-4073), vol. 38, Sept. 1987, p. 231-241.
Computer Science
Numerical Analysis
11
Anisotropic Media, Bessel Functions, Cartesian Coordinates, Cylindrical Coordinates, Radiative Heat Transfer, Scattering, Fourier Transformation, Integral Equations, Legendre Functions, Numerical Analysis
Scientific paper
An exact integral equation is derived for the source function in a three-dimensional rectangular medium which scatters anisotropically. The upper boundary of the finite medium is exposed to collimated radiation, while the lower boundary has no radiation incident on it. A double Fourier transform reduces the problem to a one-dimensional integral equation for the source function. The transformed equation is compared with the integral equation for a two-dimensional cylindrical medium which scatters anisotropically and is exposed to Bessel-varying collimated radiation. A simple relation is found between the two source functions which will greatly reduce the number of computations required for the three-dimensional case.
Crosbie A. L.
Lee Clarence L.
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