Astronomy and Astrophysics – Astrophysics
Scientific paper
Mar 1982
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982apj...254..301b&link_type=abstract
Astrophysical Journal, Part 1, vol. 254, Mar. 1, 1982, p. 301-308.
Astronomy and Astrophysics
Astrophysics
15
Compton Effect, Electromagnetic Scattering, Electron Scattering, Free Electrons, Inverse Scattering, Photon-Electron Interaction, Electromagnetic Spectra, Electron Acceleration, Energy Transfer, Fokker-Planck Equation, Frequency Shift, Maxwell-Boltzmann Density Function, Phase-Space Integral, Relativistic Electron Beams
Scientific paper
Calculations are presented on the energy exchange between free electrons and electromagnetic radiation. The full Klein-Nishina cross section is used in evaluating average scattering coefficients for an electron moving with arbitrary velocity. A number of useful series expansions for the mean energy and mean square energy transfer rates are presented. A Fokker-Planck equation that includes induced scattering is used in deriving a generalized diffusion equation in frequency for multiple scattering of photons of nonrelativistic electrons. The relationship of the Klein-Nishina cross section to that of classical electromagnetic radiation theory is elucidated.
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