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Alfvdén wave heating of a cylindrical plasma using axisymmetric waves. Part 1. MHD theory

Published online by Cambridge University Press:  13 March 2009

I. J. Donnelly ,
B. E. Clancy  and
N. F. Cramer
I. J. Donnelly
Affiliation:
Australian Atomic Energy Commission Research Establishment, Private Mail Bag, Sutherland, N.S.W. 2232, Australia
B. E. Clancy
Affiliation:
Australian Atomic Energy Commission Research Establishment, Private Mail Bag, Sutherland, N.S.W. 2232, Australia
N. F. Cramer
Affiliation:
School of Physics, University of Sydney, Sydney, N.S.W. 2006, Australia
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Abstract

MHD theory with the Hall term has been used to analyse the Alfvén resonance heating of cylindrical plasmas using axisymmetric waves excited by an antenna. An analytic expression for the antenna impedance has been derived for a simple plasma model and this is used to help interpret the computational results for small, medium and large plasmas. Compressional wave eigenmodes give large antenna resistances; however, the energy is deposited near the plasma surface. At a frequency just above each eigenfrequency, the Alfvén resonance damping is zero. Below the first eigenfrequency, the energy can be deposited near the plasma centre; however, the antenna resistance is fairly low except for medium size plasmas with a nearly constant central density. Ion cyclotron wave resonances are briefly discussed. Some general concepts relevant to the penetration of wave energy into large plasmas are presented.

Type
Research Article
Information
Journal of Plasma Physics , Volume 34 , Issue 2 , October 1985 , pp. 227 - 246
Copyright
Copyright © Cambridge University Press 1985

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