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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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dc.contributor.author Coutsias, Evangelos A.
dc.contributor.author Sullivan, D.J.
dc.date.accessioned 2012-03-23T21:38:24Z
dc.date.available 2012-03-23T21:38:24Z
dc.date.issued 1984-03
dc.identifier.citation Physical Review A, 27(3): 1535-1543 en_US
dc.identifier.issn 1050-2947
dc.identifier.uri http://hdl.handle.net/1928/20191
dc.description.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. en_US
dc.description.sponsorship American Physical Society en_US
dc.language.iso en_US en_US
dc.publisher American Physical Society en_US
dc.title Space charge limit instabilities in electron beams en_US
dc.type Article en_US

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