Nonlinear wave and oscillation processes in extended electron beams
Abstract
An analysis is presented of nonlinear waves and oscillations in electron beams considered as confined electron plasmas. The equations of motion are written for a disk model and are solved in Euler variables; processes in thin and wide electron beams are analyzed. The nonlinear properties of a confined electron plasma are shown to be primarily determined by the radius of action of Coulomb forces, depending on the relationship of wavelength, beam radius, and the radius of the drift tube. Nonlinear 'shallowwater' equations, Kortewegde Vries equations, and nonlinearoscillation equations are obtained and investigated. It is shown that the formation of dense electron bunches possessing the properties of solitons is possible in thin beams. The nonlinear interaction of spacecharge waves is considered.
 Publication:

Radiotekhnika i Elektronika
 Pub Date:
 February 1983
 Bibcode:
 1983RaEl...28..326K
 Keywords:

 Electron Beams;
 Electron Bunching;
 Electron Plasma;
 Nonlinear Equations;
 Plasma Oscillations;
 Plasma Waves;
 Coulomb Potential;
 Euler Equations Of Motion;
 KortewegDevries Equation;
 Microwave Equipment;
 Plasma Control;
 Space Charge;
 Superhigh Frequencies;
 Wave Interaction;
 Electronics and Electrical Engineering