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Quasi-static modes of oscillation of a cold toroidal plasma

Published online by Cambridge University Press:  13 March 2009

John D. Love
John D. Love
Affiliation:
Mathematical Institute, University of Oxford
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Abstract

The normal modes of oscillation of a cold dielectric plasma ring are analysed in the quasi-electrostatic approximation. An exact dispersion relation is derived, valid for all aspect ratios. Its solutions are shown to be extremely close to those of an infinite cylindrical plasma with cross-section equal to the minor cross-section of the ring, when the cylinder is considered as a wavelength-preserving limit of the toroidal geometry.

Type
Research Article
Information
Journal of Plasma Physics , Volume 14 , Issue 1 , August 1975 , pp. 25 - 37
Copyright
Copyright © Cambridge University Press 1975

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References

REFERENCES

Erdélyi, A., Magnus, W., Oberhettinger, P. & Tricomi, F. G. (ed.) 1953 Higher Transcendental Functions. McGraw-Hill.Google Scholar
Hansen, W. S. 1935 Phys. Rev. 47, 139.CrossRefGoogle Scholar
Hansen, W. S. 1936 Physics, 7, 460.CrossRefGoogle Scholar
Hansen, W. S. 1937 J. Appl. Phys. 8, 282.CrossRefGoogle Scholar
Hobson, E. W. 1955 The Theory of Spherical and Ellipsoidal Harmonics. Chelsea.Google Scholar
Moon, P. & Spencer, D. E. 1952 a J. Franklin Inst. 253, 227.CrossRefGoogle Scholar
Moon, P. & Spencer, D. E. 1952 b J. Franklin Inst. 253, 585.CrossRefGoogle Scholar
Talmadge, S., Marshall, T. C. & Schlesinger, S. P. 1973 Phys. Fluids, 16, 1171.CrossRefGoogle Scholar
Weston, V. H. 1960 J. Math. Phys. 8, 282.Google Scholar