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Period doubling of azimuthal oscillations on a non-neutral magnetized electron column

Published online by Cambridge University Press:  13 March 2009

R. W. Boswell  and
M. J. Giles
R. W. Boswell
Affiliation:
Plasma Research Laboratory, Research School of Physical Sciences, The Australian National University, Canberra, ACT
M. J. Giles
Affiliation:
Royal Military College of Science, Shrivenham, Swindon, England
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Abstract

We investigate the low-frequency azimuthal oscillations on a non-neutral magnetized electron column of very low density. A perturbation analysis of the slow mode of the rigid rotator equilibrium is developed to illustrate the nature of large-amplitude fundamental-mode oscillations. The results of this theoretical analysis show two important characteristics: firstly, as the perturbation amplitude is increased the wave form ceases to be purely sinusoidal and shows period doubling. Secondly, above a certain threshold, all harmonics of the wave grow and the wave breaks. The results of the former are compared with a simple electron beam experiment and are found to be in good qualitative agreement.

Type
Research Article
Information
Journal of Plasma Physics , Volume 33 , Issue 1 , February 1985 , pp. 59 - 69
Copyright
Copyright © Cambridge University Press 1985

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References

REFERENCES

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