Blumenthal 1970 极端相对论电子的辐射

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包括轫致辐射, 逆康普顿和同步的公式推导. 很有用.

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Title:		Bremsstrahlung, Synchrotron Radiation, and Compton Scattering of High-Energy Electrons Traversing Dilute Gases
Authors:		Blumenthal, George R.; Gould, Robert J.
Affiliation:		AA(Department of Physics, University of California, San Diego, La Jolla, California 92037), AB(Department of Physics, University of California, San Diego, La Jolla, California 92037 and School of Physics, University of Sydney, Sydney, N. S. W., Australia 2006)
Publication:		Reviews of Modern Physics, vol. 42, Issue 2, pp. 237-271 (RvMP Homepage)
Publication Date:		00/1970
Origin:		APS
Abstract Copyright:		(c) 1970: The American Physical Society
Comment:		A&AA ID. AAA003.022.080
DOI:		10.1103/RevModPhys.42.237
Bibliographic Code:		1970RvMP...42..237B

Abstract

Expressions are derived for the total energy loss and photon-production 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 Klein-Nishina 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 photon-production spectrum is derived for each process when there is a power-law 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 Klein-Nishina Compton losses), the electron distribution function satisfies an integro-differential equation. Some approximate solutions to this equation are derived for certain special cases.

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