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Space charge limit instabilities in electron beams


Please use this identifier to cite or link to this item: http://hdl.handle.net/1928/20191

Space charge limit instabilities in electron beams

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Title: Space charge limit instabilities in electron beams
Author: Coutsias, Evangelos A.; Sullivan, D.J.
Abstract: The method of characteristics and multiple-scaling perturbation techniques are used to study the space-charge instability of electron beams. It is found that the stable oscillating state (virtual cathode) created when the space-charge limit is exceeded is similar to a collisionless shock wave. The oscillatory solution originates at the bifurcation point of two unstable steady states. Complementary behavior (virtual anode) results when an ion beam exceeds its space-charge limit. The virtual cathode can also exist in the presence of a neutralizing heavy-ion background. The Pierce instability, where the electron and ion charge densities are equal, is a special case of this broader class. Estimates of the nonlinear growth rate of the instability at the space-charge limit are given.
Date: 1984-03
Publisher: American Physical Society
Citation: Physical Review A, 27(3): 1535-1543
URI: http://hdl.handle.net/1928/20191
ISSN: 1050-2947

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