Time- and frequency-domain scattering of traveling wave radiance

Henry Berger

doi:10.1117/12.478778

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2 August 2002 Time- and frequency-domain scattering of traveling wave radiance

Henry Berger

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Proceedings Volume 4725, Algorithms and Technologies for Multispectral, Hyperspectral, and Ultraspectral Imagery VIII; (2002) https://doi.org/10.1117/12.478778
Event: AeroSense 2002, 2002, Orlando, FL, United States

Abstract

We have presented apparently new points of view for both radiative transfer problems in the frequency and time domains. Apparently for the first time a simple physical picture has emerged of the inderlying essence of scattered radiance when dealing with isotropic axially-symmetric scattering as a single set of cutoff traveling waves in nonconservative linear media. First, it is shown in the frequency domain. Its accuracy is demonstrated by applying it to a solved problem in the frequency domain whose solution was published by Chandrasekhar some five decades ago. He determined it by dealing with the conventional 95- year-old, usually difficult to solve, integro-differential equation and we bolster confidence in our method by showing how the 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 also analyzes the situation in the time domain in a different manner but the same type of result is obtained.

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Henry Berger "Time- and frequency-domain scattering of traveling wave radiance", Proc. SPIE 4725, Algorithms and Technologies for Multispectral, Hyperspectral, and Ultraspectral Imagery VIII, (2 August 2002); https://doi.org/10.1117/12.478778

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