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Effect of toroidicity during lower-hybrid mode conversion

Published online by Cambridge University Press:  13 March 2009

S. Riyopoulos  and
S. M. Mahajan
S. Riyopoulos
Affiliation:
Institute for Fusion Studies, The University of Texas at Austin, Austin, Texas 78712
S. M. Mahajan
Affiliation:
Institute for Fusion Studies, The University of Texas at Austin, Austin, Texas 78712
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Abstract

The effect of toroidicity during lower-hybrid mode conversion is examined by treating the wave propagation in an inhomogeneous medium as an eigenvalue problem for ω2 (m, n), m, n poloidal and toroidal wavenumbers. Since the fre-quency regime near ω = ω2LH is an accumulation point for the eigenvalue spectrum, the degenerate perturbation technique must be applied. The toroidal eigenmodes are constructed by a zeroth-order superposition of monochromatic solutions with different poloidal dependence m; thus they generically exhibit a wide spectrum in k‖ for given fixed ω2 even for small inverse aspect ratio є. When the average 〈k‖〉 is in the neighbourhood of kmin, the minimum wave-number for accessibility of the mode conversion regime, it is possible that excitation of toroidal modes rather than geometrie optics may determine the wave coupling to the plasma. Our results are not changed significantly by a small amount of dissipation. The level of density fluctuations in modem tokamaks, on the other hand, may cause enough k‖ scattering to mask the toroidicity effects. Nevertheless, it is shown that a wide k‖ spectrum excited by a monochromatic pump will persist even with vanishing fluctuation level.

Type
Research Article
Information
Journal of Plasma Physics , Volume 38 , Issue 1 , August 1987 , pp. 27 - 41
Copyright
Copyright © Cambridge University Press 1987

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References

REFERENCES

Andrews, P. L. & Perkins, F. W. 1983 a Phys. Fluids, 26, 2537.Google Scholar
Andrews, P. L. & Perkins, F. W. 1983 b Phys. Fluids, 26, 2546.Google Scholar
Bellan, P. & Porkolab, M. 1974 Phys. Fluids, 17, 1952.CrossRefGoogle Scholar
Bonoli, P. T. & Ott, E. 1983 Phys. Fluids, 25, 359.CrossRefGoogle Scholar
Derfler, H. & Leuterer, F. 1972 Plasma Phys. 14, 473.CrossRefGoogle Scholar
Fisch, N. J. 1978 Phys. Rev. Lett. 41, 873.Google Scholar
Golant, V. E. 1972 Soviet Phys. Tech. Phys. 16, 1980.Google Scholar
Karney, C. F. F. 1978 Phys. Fluids, 21, 1584.Google Scholar
Karney, C. F. F. 1979 Phys. Fluids, 22, 2188.Google Scholar
Moore, B. N. & Oakes, M. E. 1972 Phys. Fluids, 15, 144.Google Scholar
Puri, S. & Tutter, M. 1974 Nucl. Fusion, 14, 93.CrossRefGoogle Scholar
Riyopoulos, S. & Mahajan, S. 1986 Phys. Fluids, 29, 731.Google Scholar
Stix, T. H. 1962 Theory of Plasma Waves. McGraw-Hill.Google Scholar
Stix, T. H. 1965 Phys. Rev. Lett., 15, 878.CrossRefGoogle Scholar
Swanson, D. G. 1976 Phys. Rev. Lett., 36, 316.CrossRefGoogle Scholar
Tang, T. & Sivasubramanian, A. 1972 Phys. Fluids, 15, 1534.Google Scholar
Tang, T. 1980 Research Topics in Electromagnetic Wave Theory (ed. Hong, J. A.), p. 38. Wiley Interscience.Google Scholar
Tataronis, J. A. 1975 J. Plasma Phys. 13, 87.CrossRefGoogle Scholar
Watterson, R. L., Slusher, R. E. & Surko, C. M. 1985 a Phys. Fluids, 28, 2857.CrossRefGoogle Scholar
Watterson, R. L., Takase, Y., Bonoli, P. T., Porkolab, M., Slusher, R. E. & Surko, C. M. 1985 b Phys. Fluids, 28, 2622.CrossRefGoogle Scholar
Wong, K. C. & Tang, T. 1976 Plasma Phys. 18, 991.CrossRefGoogle Scholar