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Ion cyclotron electromagnetic wave structure in Elmo bumpy torus

Published online by Cambridge University Press:  13 March 2009

M. Cotsaftis ,
N. T. Gladd  and
N. A. Krall
M. Cotsaftis
Affiliation:
JAYCOR, San Diego, CA 92138
N. T. Gladd
Affiliation:
JAYCOR, San Diego, CA 92138
N. A. Krall
Affiliation:
JAYCOR, San Diego, CA 92138
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Abstract

The problem of ion cyclotron wave structure in EBT has been analyzed using the smallness of the inverse aspect ratio ε = a/R0 and of the inverse cavity number ε' = 1/N. The procedure is to expand in these two parameters, reducing the complete toroidal problem to a system of equations to be solved in sequence. To second order in ε and ε', this system contains two ordinary differential equations of second order and one partial differential equation with periodic coefficients in a magnetically adapted system of co-ordinates. The smallness of the mean bumpiness parameter εB reduces the problem to a single second-order differential equation which, for a parabolic density profile, is a Whittaker equation. The EM wave structure corresponds to a simple mode with only a few wavelengths across the plasma radius, permitting multi-harmonic ion cyclotron heating with interesting efficiency, as observed in experiments.

Type
Research Article
Information
Journal of Plasma Physics , Volume 34 , Issue 2 , October 1985 , pp. 191 - 211
Copyright
Copyright © Cambridge University Press 1985

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