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Proceedings Paper

Time domain scattering of traveling wave radiance
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Paper Abstract

I present, apparently, a new description of radiative transfer problems in the time domain. It appears that for the first time a simple physical picture emerges of the underlying essence of scattered radiance when dealing with isotropic axially-symmetric scattering in nonconservative linear media as attenuated travelling waves was by analogy. The method used a new differential equation approach. Initially its accuracy in the frequency domain was demonstrated by applying it to a solved problem, where in the literature it is dealt with using the conventional 95-year-old integro-differential equation description. Confidence in the differential equation method was bolstered by showing how this new method produces the same analytical answer. The new technique converts the integro-differential equation formulation of radiative transfer into a “pure” differential equation formulation, consisting here in a mixture of ordinary and partial derivatives, and solves that. This paper analyzes the situation in the time domain using the differential equation description and again yields a travelling wave description. However, this time it is not simply by analogy that such a description is obtained. It is exact. This result of attenuated travelling waves was demonstrated in a prior paper by solving the integro-differential equation for the classic problem of axially-symmetric scalar isotropic scattering in a nonconservative linear medium. In this paper we revisit the problem, this time solving it by the differential equation method and obtain the identical result, once again confirming the method.

Paper Details

Date Published: 18 December 2002
PDF: 8 pages
Proc. SPIE 4818, Infrared Spaceborne Remote Sensing X, (18 December 2002); doi: 10.1117/12.453705
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. 4818:
Infrared Spaceborne Remote Sensing X
Marija Strojnik; Bjorn F. Andresen, Editor(s)

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