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Diocotron instability of a warm electron beam in crossed fields

Published online by Cambridge University Press:  13 March 2009

Hee J. Lee
Department of Physics, Hanyang University, Seoul 133–791, Korea
Kwang-Sup Yang
Department of Physics, Hanyang University, Seoul 133–791, Korea


The warm-fluid equation derived from the drift kinetic equation is solved numerically to investigate the electrostatic low-frequency stability of an electron ribbon beam drifting in the crossed-fields of a planar magnetron. The temperature effect is manifested only for oblique propagation with respect to the drifting beam direction. The dispersion relation takes the form ω = ω(k⊥/ks∥) = ω(ks∥/k⊥), where k⊥ and k⊥ are respectively the components of the surface wave vector k parallel and perpendicular to the magnetic field. The obliqueness of the propagation direction and the non-zero temperature give rise to a resonant instability, in addition to the diocotron instability, and the wavenumber corresponding to the maximum diocotron growth rate shifts as the temperature changes.

Research Article
Copyright © Cambridge University Press 1996

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