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Rotating and propagating LIB stabilized by self-induced magnetic field

Published online by Cambridge University Press:  09 March 2009

Hiroyuki Murakami
Affiliation:
The Metropolitan College of Technology Asahigaoka 6–6, Hino-shi, Tokyo 191, Japan
Takayuki Aoki
Affiliation:
Department of Energy Sciences, Tokyo Institute of Technology Nagatsuta 4259, Midori-ku, Yokohama 227, Japan
Shigeo Kawata
Affiliation:
Department of Energy Sciences, Tokyo Institute of Technology Nagatsuta 4259, Midori-ku, Yokohama 227, Japan
Keishiro Niu
Affiliation:
Department of Energy Sciences, Tokyo Institute of Technology Nagatsuta 4259, Midori-ku, Yokohama 227, Japan

Abstract

Rotating motion of a propagating LIB is analyzed in order to suppress the mixed mode of the Kelvin-Helmholtz instability, the tearing instability and the sausage instability by the action of a self-induced magnetic field in the axial direction. The beams are assumed to be charge-neutralized but not current-neutralized. The steady-state solutions of a propagating LIB with rotation are first obtained numerically. Through the dispersion relation with respect to the ikonal type of perturbations, which are added to the steady-state solutions, the growth rates of instabilities appearing in an LIB are obtained. It is concluded that if the mean rotating velocity of an LIB is comparable to the propagation velocity, in other words, if the induced magnetic field intensity in the axial direction is comparable to the magnetic field intensity in the azimuthal direction, the instability disappears in the propagating ion beam.

Type
Research Article
Copyright
Copyright © Cambridge University Press 1984

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References

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