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2 August 2002 Time- and frequency-domain scattering of traveling wave radiance
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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.
© (2002) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
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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