Mathematics
Scientific paper
Aug 1985
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985jqsrt..34..133m&link_type=abstract
Journal of Quantitative Spectroscopy and Radiative Transfer (ISSN 0022-4073), vol. 34, Aug. 1985, p. 133-148. NASA-supported res
Mathematics
8
Electromagnetic Scattering, Fourier Transformation, Matrix Theory, Operators (Mathematics), Radiative Transfer, Three Dimensional Motion, Algorithms, Electromagnetic Wave Transmission, Radiation Distribution, Reflected Waves
Scientific paper
The three-dimensional equation of transfer for a scattering medium with planar geometry is solved by using a spatial Fourier transform and extending matrix-operator techniques developed previously for the one-dimensional equation. Doubling and adding algorithms were derived by means of an interaction principle for computing the Fourier-transformed radiation field. The resulting expressions fully describe the radiative transfer process in a scattering medium, inhomogeneous in the x-, y- and z-directions, illuminated from above by an arbitrarily general intensity field and bounded from below by a surface with completely general reflection properties.
Diner David Joseph
Martonchik John V.
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