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Mode conversion in plasmas with two-dimensional inhomogeneities

Published online by Cambridge University Press:  25 November 2005

NORA NASSIRI-MOFAKHAM
Affiliation:
Department of Physics, Faculty of Science, University of Isfahan, Hezar Jerib Avenue, Isfahan 81744, Iran ([email protected])
BIJAN Sh. SABZEVARI
Affiliation:
Department of Physics, Faculty of Science, University of Isfahan, Hezar Jerib Avenue, Isfahan 81744, Iran ([email protected]) Institute for Studies in Nonlinear Analysis, School of Mathematical Sciences, Shahid Beheshti University, Tehran 19834, Iran

Abstract

Most of the mode conversion theories considered so far assume only a plane-layered medium, i.e. a medium where the parameters depend on one spatial coordinate. We generalize the mode-conversion method of Cairns and Lashmore-Davies to plasmas with two-dimensional inhomogeneities. In the method presented here, the frequencies $\omega_1$ and $\omega_2$ of the uncoupled modes belonging to two different dispersion equations are considered as functions of the space variable $\mathbf r$ and the wave vector $\mathbf k$ and are coupled together via a small quantity $\eta$. We calculate the energy transmission and conversion coefficients analytically by solving two coupled wave amplitude equations in the electron cyclotron range of frequencies. The results are applicable to electron Bernstein wave heating of plasmas with two-dimensional inhomogeneity, e.g. spherical tokamaks.

Type
Papers
Copyright
2005 Cambridge University Press

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