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A two-dimensional analysis of mode conversion at a resonance layer with high-magnetic field side reflection

Published online by Cambridge University Press:  01 August 2007

NORA NASSIRI-MOFAKHAM  and
AKBAR PARVAZIAN
NORA NASSIRI-MOFAKHAM
Affiliation:
Department of Physics, Isfahan University of Technology, Isfahan, Iran ([email protected])
AKBAR PARVAZIAN
Affiliation:
Department of Physics, Isfahan University of Technology, Isfahan, Iran ([email protected])
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Abstract

Mode converted Bernstein waves potentially allow the implementation of local heating and current drive in spherical torus devices, which are not directly accessible to low-harmonic cyclotron waves. The mode conversion method of Cairns and Lashmore-Davies previously used to study the usual mode conversion in non-planar geometry is extended to include the effect of the high-magnetic-field-side cutoff, and is solved analytically. The analytic solutions to the triplet, cutoff–resonance–cutoff, equations give the reflection and conversion coefficients in terms of parameters defining the local behavior of the dispersion relation. The variation of mode conversion efficiency depends not only on the coupling parameter but also on the phasing effect introduced by the high-field-side cutoff. The change in characteristic phases, which are concerned with the coupling parameter, brings an additional degree of freedom allowing optimization via the position of the high-field cutoff. A discrete spectrum of phases exists for which complete mode conversion of the incident wave for a transit of the resonance region can be achieved. The results we obtain here give the general conditions for efficient Bernstein wave heating in two-dimensional geometry.

Type
Papers
Information
Journal of Plasma Physics , Volume 73 , Issue 4 , August 2007 , pp. 473 - 484
Copyright
Copyright © Cambridge University Press 2006

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References

Abramovitz, M. and Stegun, I. A. 1970 Handbook of Mathematical Functions. New York: Dover.Google Scholar
Bender, C. M. and Orszag, S. A. 1978 Advanced Mathematical Methods for Scientists and Engineers. New York: McGraw-Hill, ch. 10.Google Scholar
Budden, K. G. 1985 The Propagation of Radio Waves. Cambridge: Cambridge University Press, pp. 596–602.CrossRefGoogle Scholar
Cairns, R. A. and Lashmore-Davies, C. N. 1983 Phys. Fluids 26, 1268–1274.CrossRefGoogle Scholar
Flügge, S. 1999 Practical Quantum Mechanics. Berlin: Springer, pp. 259.Google Scholar
Fuchs, V., Ram, A. K., Schultz, S. D., Bers, A. and Lashmore-Davies, C. N. 1995 Phys. Plasmas 2, 1637–1647.CrossRefGoogle Scholar
Heading, J. 1962 J. Math. Soc. London 37, 195–208.Google Scholar
Majeski, R., Phillips, C. K. and Wilson, J. R. 1994 Phys. Rev. Lett. 73, 2204–2207.Google Scholar
Nassiri-Mofakham, N. and Sabzevari, B. Sh. 2006 J. Plasma Phys. 72, 71–83.CrossRefGoogle Scholar
Smirnov, V. I. 1964 A Course of Higher Mathematics, Vol. IV. Oxford: Pergamon Press, pp. 387–426.Google Scholar
Sommerfeld, A. 1964 Partial Differential Equations in Physics: Lectures on Theoretical Physics. New York: Academic Press, §11.Google Scholar
Stix, T. H. 1992 Waves in Plasmas. New York: Springer, ch. 13.Google Scholar
Whittaker, E. T. and Watson, G. N. 1927 A Course of Modern Analysis, 4th edn. New York: Cambridge University Press.Google Scholar