Thumbnail
Access Restriction
Open

Author Capps, R. H.
Source United States Department of Energy Office of Scientific and Technical Information
Content type Text
Language English
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)
ISSN 0031899X
Educational Use Research
Learning Resource Type Article
Publisher Date 1959-06-01
Publisher Department Univ. of Washington, Seattle
Journal Physical Review
Volume Number 114
Organization Univ. of Washington, Seattle


Open content in new tab

   Open content in new tab