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4 November 2004 Fundamental reformulation of the radiative transport equation
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There is a branch of radiative transport theory that is customarily expressed with an integrodifferential equation or an integral equation. The new formulation in this article is, without approximation, expressed through partial differential equations in both the frequency and time domains. Its accuracy is demonstrated in the frequency domain by applying it to a problem solved long ago. It was expressed with the conventional integrodifferential equation. Confidence is bolstered in the new method by showing how the new method produces the identical analytical answer. This article also analyses a situation in the time domain in both the appropriate differential and integrodifferential equations and the identical results are again obtained.
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Henry Berger and Robert S. Rand "Fundamental reformulation of the radiative transport equation", Proc. SPIE 5543, Infrared Spaceborne Remote Sensing XII, (4 November 2004);

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