Nonlinear theory of electromagnetic wave excitation by a relativistic electron beam in a metal waveguide, filled with a dielectric medium

Abstract

The problem of nonlinear interaction of a relativistic electron beam with a bounded dielectric medium, which fills the metal waveguide is considered. General formulae for the frequency spectra and growth rates of the beam-excited electromagnetic waves as well as the expression for the threshold-wave amplitudes in the nonlinear stage of generation are obtained. The electromagnetic radiation energy flow and the efficiency of generation for values to the threshold saturation are calculated.