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

Henry Berger; Robert S. Rand

doi:10.1117/12.455112

8 February 2002 New physical understanding of a type of idealized scattering and the implications of the method of solution used

Henry Berger, Robert S. Rand

Author Affiliations +

Proceedings Volume 4486, Infrared Spaceborne Remote Sensing IX; (2002) https://doi.org/10.1117/12.455112
Event: International Symposium on Optical Science and Technology, 2001, San Diego, CA, United States

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.

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Henry Berger and Robert S. Rand "New physical understanding of a type of idealized scattering and the implications of the method of solution used", Proc. SPIE 4486, Infrared Spaceborne Remote Sensing IX, (8 February 2002); https://doi.org/10.1117/12.455112

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