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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
Affiliation:
Department of Physics, Hanyang University, Seoul 133–791, Korea
Kwang-Sup Yang
Affiliation:
Department of Physics, Hanyang University, Seoul 133–791, Korea

Abstract

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.

Type
Research Article
Copyright
Copyright © Cambridge University Press 1996

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References

REFERENCES

Abramowitz, M. & Stegun, I. A. 1965 Handbook of Mathematical Functions. Dover, New York.Google Scholar
Buneman, O., Levy, R. H., & Linson, L. M. 1966 J. Appl. Phys. 37, 3203.CrossRefGoogle Scholar
Chernin, D. & Lau, Y. Y. 1984 Phys. Fluids 27, 2319.CrossRefGoogle Scholar
Davidson, R. C. 1990 Physics of Nonneutral Plasmas. Addison-Wesley, Reading, Massachusetts.Google Scholar
Davidson, R. C. & Tsang, K. 1985 Phys Fluids 28, 1169.CrossRefGoogle Scholar
Davidson, R. C., Tsang, K. T, & Swegle, J. A., 1984 Phys. Fluids 27, 2332.CrossRefGoogle Scholar
De Grassie, J. S. & Malmberg, J. H. 1980 Phys. Fluids 23, 63.CrossRefGoogle Scholar
Fried, B. F. & Conte, S. 1961 The Plasma Dispersion Function. Academic Press, New York.Google Scholar
Holm, D. D. & Kupershmidt, B. A. 1986 Phys. Fluids 29, 49.CrossRefGoogle Scholar
Lee, H. J., Kaup, D. J. & Thomas, G. E. 1988 J. Plasma Phys. 40, 535.CrossRefGoogle Scholar
Lee, S. H. & Lee, H. J. 1988 J. Korean Phys. Soc. 21, 253.Google Scholar
Swegle, J. 1993 Phys. Fluids 26, 1970.Google Scholar
Swegle, J. & Ott, E. 1981 Phys. Fluids 24, 1821.CrossRefGoogle Scholar