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Resonance absorption of energy by a cold inhomogeneous plasma

Published online by Cambridge University Press:  13 March 2009

Z. Sedláček
Affiliation:
Institute of Plasma Physics, Czechoslovak Academy of Sciences, Pod vodárenskou věží 4, CS-182 11 Prague 8, Czechoslovakia
B. Roberts
Affiliation:
Department of Mathematical Sciences, University of St Andrews, St Andrews KY16 9SS, Scotland

Abstract

The active and reactive power resonantly absorbed by a linear passive system is calculated in terms of its continuum eigenfunctions and the spatial–temporal spectral density of the external force. An application to the resonance absorption of electromagnetic radiation by a cold inhomogeneous plasma is given.

Type
Research Article
Copyright
Copyright © Cambridge University Press 1989

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References

REFERENCES

Adam, J. A. 1986 Phys. Reports, 142, 263.CrossRefGoogle Scholar
Appert, K., Hellsten, T., Vaclavik, J. & Villard, L. 1986 a Comp. Phys. Commun. 40, 73.Google Scholar
Appert, K., Hellsten, T., Sauter, O., Succi, S., Vaclavik, J. & Villard, L. 1986 b Comp. Phys. Commun. 43, 125.Google Scholar
Appert, K., Vaclavik, J. & Villard, L. 1984 Lecture Notes: An Introduction to the Theory of Alfvén Wave Heating. Report LRP 238/84, École Polytechnique Fédérale de Lausanne.Google Scholar
Balet, B., Appert, K. & Vaclavik, J. 1982 Plasma Phys. 24, 1005.CrossRefGoogle Scholar
Barston, E. M. 1964 Ann. Phys. (N. Y.), 29, 282.Google Scholar
Cheng, C. Z. & Chance, M. S. 1986 Phys. Fluids, 29, 3695.CrossRefGoogle Scholar
Cheng, C. Z., Chen, L. & Chance, M. S. 1985 Ann. Phys. (N. Y.), 161, 21.Google Scholar
Crawford, F. W. & Harker, K. J. 1972 J. Plasma Phys. 8, 261.CrossRefGoogle Scholar
Friedman, B. 1956 Principles and Techniques of Applied Mathematics. Wiley.Google Scholar
Grossmann, W. & Tataronis, J. A. 1973 Z. Phys. 261, 217.Google Scholar
Grossmann, W. & Weitzner, H. 1984 Phys. Fluids, 27, 1699.CrossRefGoogle Scholar
Ionson, J. A. 1978 Astrophys. J. 226, 650.Google Scholar
Ionson, J. A. 1980 Resonant Electrodynamic Heating of Stellar Coronal Loops: An RLC Circuit Analogue. NASA Technical Memorandum 82065, Goddard Space Flight Center, Greenbelt, Maryland.Google Scholar
Ionson, J. A. 1982 Astrophys. J. 254, 318.CrossRefGoogle Scholar
Kindel, J. M., Lee, K. & Lindman, E. L. 1975 Phys. Rev. Lett. 34, 134.Google Scholar
Kruer, W. L. 1980 Laser-Plasma Interactions: Proceedings of the 20th Scottish Summer School, St Andrews (ed. Cairns, R. A. & Sanderson, J. J.), p. 387. University of St Andrews.Google Scholar
Lee, M. A. 1980 Astrophys. J. 240, 693.CrossRefGoogle Scholar
Lee, M. A. & Roberts, B. 1986 Astrophys. J. 301, 430.Google Scholar
Lewis, H. R. & Symon, K. R., 1979 J. Math. Phys. 20, 413.Google Scholar
Mondelli, A. A. & Auer, P. L. 1975 Plasma Phys. 17, 213.Google Scholar
Rae, I. C. 1982 Plasma Phys. 24, 133.CrossRefGoogle Scholar
Rae, I. C. & Roberts, B. 1981 Geophys. Astrophys. Fluid Dyn. 18, 197.Google Scholar
Roos, B. W. 1969 Analytic Functions and Distributions in Physics and Engineering. Wiley.Google Scholar
Sedláček, Z. 1971 a J. Plasma Phys. 5, 239.Google Scholar
Sedláček, Z. 1971 b J. Plasma Phys. 6, 187.CrossRefGoogle Scholar
Sedláček, Z. 1972 Czech. J. Phys. B22, 439.Google Scholar
Sedláček, Z. 1973 Czech. J. Phys. B23, 892.Google Scholar
Tataronis, J. A. 1975 J. Plasma Phys. 13, 87.Google Scholar
Tataronis, J. A. & Grossmann, W. 1973 Z. Phys. 261, 203.CrossRefGoogle Scholar
Uberoi, B. 1972 Phys. Fluids, 15, 1673.Google Scholar
Villard, L., Appert, K., Gruber, R. & Vaclavik, J. 1986 Comp. Phys. Reports, 4, 95.CrossRefGoogle Scholar
Wentzel, D. G. 1979 Astrophys. J. 233, 756.CrossRefGoogle Scholar
White, R. B. & Chen, F. F. 1974 Plasma Phys. 16, 565.Google Scholar