A simple and fast method for computing the relativistic Compton Scattering Kernel for radiative transfer

Mathematics

Scientific paper

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Compton Effect, Radiative Transfer, Relativistic Particles, Scattering Functions, Asymptotic Methods, Kernel Functions, Maxwell-Boltzmann Density Function, Series (Mathematics)

Scientific paper

The Klein-Nishina differential cross section averaged over a relativistic Maxwellian electron distribution is analytically reduced to a single integral, which can then be rapidly evaluated in a variety of ways. A particularly fast method for numerically computing this single integral is presented. This is, to the authors' knowledge, the first correct computation of the Compton scattering kernel.

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