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Proceedings Paper

New approach to radiative transfer and related atmospheric correction problems
Author(s): Henry Berger; Thomas Hay; Eugene A. Margerum
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Paper Abstract

Most atmospheric correction codes are based in part or in whole on the radiative transfer equation (RTE), which is an integrodifferential equation. It is well known to be an ad hoc equation, which can and has produced incorrect answers. This paper initiates a new way of exploring where the RTE can produce unphysical answers in parameter-ratio ranges of genuine concern. The exploration begins with formulating a new technique for rigorously transforming the scalar RTE, without approximation, into a `pure' partial differential equation (PDE), i.e., one involving only partial derivatives of finite and relative small order. The virtue of this approach is that there are only a small number of analytical and numerical techniques for dealing with integrodifferential equations compared to the vast array of techniques for PDEs. A variety of tools are developed that are more powerful than needed for the particular physical problems to demonstrate the robustness of the technique. An atmosphere is then considered where Rayleigh scattering is dominant and its PDE derived, apparently for the first time. A class of nonlinear integrodifferential equations were also transformed into linear PDEs and solved for a multiplicity of solutions.

Paper Details

Date Published: 5 October 1999
PDF: 9 pages
Proc. SPIE 3763, Propagation and Imaging through the Atmosphere III, (5 October 1999); doi: 10.1117/12.363608
Show Author Affiliations
Henry Berger, U.S. Army Topographic Engineering Ctr. (United States)
Thomas Hay, U.S. Army Topographic Engineering Ctr. (United States)
Eugene A. Margerum, U.S. Army Topographic Engineering Ctr. (United States)

Published in SPIE Proceedings Vol. 3763:
Propagation and Imaging through the Atmosphere III
Michael C. Roggemann; Luc R. Bissonnette, Editor(s)

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