Astronomy and Astrophysics – Astrophysics
Scientific paper
May 1984
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984jqsrt..31..417b&link_type=abstract
Journal of Quantitative Spectroscopy and Radiative Transfer (ISSN 0022-4073), vol. 31, May 1984, p. 417-421.
Astronomy and Astrophysics
Astrophysics
7
Astrophysics, Compton Effect, Electron Scattering, Scattering Cross Sections, Electron Distribution, Kernel Functions, Legendre Functions
Scientific paper
It is analytically shown that the differential cross-section of Compton scattering of a photon of one frequency from a photon of another frequency can be reduced to a one-dimensional integral over the unknown electron distribution function. The differential cross-section for photon scattering is obtained by a Lorentz transformation of the Klein-Nishima cross-section into the rest frame for moving electrons. The transformed cross-section is integrated over the delta function and an angular integral is defined to characterize monoenergetic scattering, thus satisfying the requirements of fully time-dependent transport calculations. An analytical result is also defined for the Legendre polynomial expansion of the scattering cross-section, thus allowing inclusion of higher Legendre moments in radiation transport calculations.
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