A note on Compton scattering
Abstract
Calculations are presented on the energy exchange between free electrons and electromagnetic radiation. The full KleinNishina 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 FokkerPlanck 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 KleinNishina cross section to that of classical electromagnetic radiation theory is elucidated.
 Publication:

The Astrophysical Journal
 Pub Date:
 March 1982
 DOI:
 10.1086/159734
 Bibcode:
 1982ApJ...254..301B
 Keywords:

 Compton Effect;
 Electromagnetic Scattering;
 Electron Scattering;
 Free Electrons;
 Inverse Scattering;
 PhotonElectron Interaction;
 Electromagnetic Spectra;
 Electron Acceleration;
 Energy Transfer;
 FokkerPlanck Equation;
 Frequency Shift;
 MaxwellBoltzmann Density Function;
 PhaseSpace Integral;
 Relativistic Electron Beams;
 Space Radiation