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Proceedings Paper

New physical understanding of a type of idealized scattering and the implications of the method of solution used
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Paper Abstract

We present a new point of view for investigation radiative transfer problems by showing it involves the scattering of traveling evanescent waves. Its accuracy is demonstrated by applying it to a solved problem whose solution was published by Chandrasekhar. He determined it with a conventional method and we bolster confidence in our method by showing how the new method produces the same analytical answer. The new technique converts the 95-year-old, usually difficult to solve, integro-differential equation formulation of radiative transfer into a less formidable 'pure' differential equation formulation, consisting here in a mixture of ordinary and partial derivatives, and solves that. This paper focuses on a single class of cases. It also demonstrates surprising success at solving a narrowly defined class of nonlinear radiative transfer problems initially expressed as a nonlinear integro-differential equation formulation of the radiative transport problem.

Paper Details

Date Published: 8 February 2002
PDF: 11 pages
Proc. SPIE 4486, Infrared Spaceborne Remote Sensing IX, (8 February 2002); doi: 10.1117/12.455112
Show Author Affiliations
Henry Berger, U.S. Army Topographic Engineering Ctr. (United States)
Robert S. Rand, U.S. Army Topographic Engineering Ctr. (United States)

Published in SPIE Proceedings Vol. 4486:
Infrared Spaceborne Remote Sensing IX
Marija Strojnik; Bjorn F. Andresen, Editor(s)

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