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A generalized treatment of the electrostatic instability of rippled non-neutral magnetically focused electron beams

Published online by Cambridge University Press:  13 March 2009

S. Cuperman  and
F. Petran
S. Cuperman
Affiliation:
Department of Physics and Astronomy, Tel Aviv University, Ramat Aviv, Israel
F. Petran
Affiliation:
Department of Physics and Astronomy, Tel Aviv University, Ramat Aviv, Israel
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Abstract

A generalization of the stability analysis of rippled non-neutral electron beams is presented. The treatment covers regimes ranging between those known as ‘Brillouin flow’ (ωpe = ωc/2½) and ‘immersed flow’ (ωpe≪ωc). It considers electrostatic surface waves with azimuthal symmetry (l = 0) as well as harmonic modes (l≠0). Both long-wavelength and short-wavelength domains are analysed. A general discussion of instability is given in terms of the solution of the Mathieu-Hill equation. New unstable modes are found and their growth rates are derived and compared.

Type
Research Article
Information
Journal of Plasma Physics , Volume 26 , Issue 2 , October 1981 , pp. 267 - 281
Copyright
Copyright © Cambridge University Press 1981

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References

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