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Wake Fields in the Electron Gas Including Transverse Response
Published
Author(s)
Eric J. Cockayne, Zachary H. Levine
Abstract
Relativistic electrons have transverse electric fields comparable in magnitude to the longitudinal fields. We determine the relative effects of transverse and longitudinal fields of a moving point charge on the dielectric response of a uniform electron gas, using Lindhard's longitudinal and transverse dielectric functions and, separately, the Drude dielectric function. In the direction of motion, the transverse wake fields are approximately -v2/c2 times the longitudinal wake fields. The stopping power, as determined by applying Poynting's theorem, is reduced. Perpendicular to the direction of motion, the transverse wake fields are small compared to the longitudinal fields. Electromagnetic fields of a moving point charge are given in Fourier space for the Lorentz, Hamiltonian, and Coulomb gauges.
Citation
Physical Review B (Condensed Matter and Materials Physics)
Volume
74
Pub Type
Journals
Keywords
EELS, fast electrons, Lindhard dielectric function, stopping power, transverse response
Cockayne, E.
and Levine, Z.
(2006),
Wake Fields in the Electron Gas Including Transverse Response, Physical Review B (Condensed Matter and Materials Physics)
(Accessed February 17, 2025)