Bremsstrahlung, Synchrotron Radiation, and Compton Scattering of HighEnergy Electrons Traversing Dilute Gases
Abstract
Expressions are derived for the total energy loss and photonproduction spectrum by the processes of Compton scattering, bremsstrahlung, and synchrotron radiation from highly relativistic electrons. For Compton scattering, the general case, the Thomson limit, and the extreme KleinNishina limit are considered. Bremsstrahlung is treated for the cases where the electron is scattered by a pure Coulomb field and by an atom. For the latter case the effects of shielding are discussed extensively. The synchrotron spectrum is derived for an electron moving in a circular orbit perpendicular to the magnetic field and also for the general case where the electron's motion is helical. The total photonproduction spectrum is derived for each process when there is a powerlaw distribution of electron energies. The problems of the effects of the three processes on the electron distribution itself are considered. It is shown that if the electron loses a small fraction of its energy in a single occurrence of a process, the electron distribution function satisfies a continuity equation which is a differential equation in energy space. For the more general case where the electron can lose energy in discrete amounts (as in bremsstrahlung and extreme KleinNishina Compton losses), the electron distribution function satisfies an integrodifferential equation. Some approximate solutions to this equation are derived for certain special cases.
 Publication:

Reviews of Modern Physics
 Pub Date:
 1970
 DOI:
 10.1103/RevModPhys.42.237
 Bibcode:
 1970RvMP...42..237B