Abstract
An analysis of the propagation of an electrostatic beam space-charge wave through a coaxial wiggler magnetic field and an axial-guide magnetic field is presented. Equations for the electron orbital velocity, rate of change of axial velocity with Lorentz factor, and the dispersion relation are derived. The effects of the combined wiggler and axial-guide fields on the rate of change of the axial velocity with electron energy and on the effective electron density in the dispersion relation are studied numerically. The present theory predicts that electrostatic negative mass instabilities do not exist in a coaxial wiggler.
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