|Author||Capps, R. H.|
|Source||United States Department of Energy Office of Scientific and Technical Information|
|Subject Keyword||PHYSICS AND MATHEMATICS ♦ ATOMS ♦ DAMPING ♦ DENSITY ♦ DIFFERENTIAL EQUATIONS ♦ ELECTRIC FIELDS ♦ ELECTRON BEAMS ♦ ELECTRONS ♦ ENERGY ♦ FRICTION ♦ IONS ♦ LOSSES ♦ MAGNETIC FIELDS ♦ MOMENTUM ♦ NUMERICALS ♦ RADIATIONS ♦ RELATIVITY THEORY ♦ SCATTERING ♦ STABILITY|
|Abstract||A theoretical investigation is made of intense, relativistic, partially neutralized, self-focusing electron beams. Approximate equations are derived that express the time derivatives of the beam radius and mean electron energy as functions of these parameters, the densities of the electrons, ions, and neutral atoms, and the impressed electric and magnetic fields. The equations are numerically integrated for various values of the parameters. It is shown that the radiation damping leads to a shrinkage of the beam radius to a value of order 0.05 mm in a time of order 10/sup -2/ to 10/sup -1/ second. If the longitudinal electric field is constant the beam approaches the equilibrium state'' discussed by Budker, in which the increase in electron transverse momentum caused by scattering from the ions is compensated by radiative loss, and the energy lost by radiation is restored by the longitudinal field. (auth)|
|Learning Resource Type||Article|
|Publisher Department||Univ. of Washington, Seattle|
|Organization||Univ. of Washington, Seattle|
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