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Parametric excitation of magnetoacoustic waves by a pump magnetic field in a high-β plasma

Published online by Cambridge University Press:  13 March 2009

N. F. Cramer
Affiliation:
School of Physics, Sydney University, Australia

Abstract

The parametric excitation of slow, intermediate (Alfvén) and fast magneto-acoustic waves by a modulated spatially non-uniform magnetic field in a plasma with a finite ratio of gas pressure to magnetic pressure is considered. The waves are excited in pairs, either pairs of the same mode, or a pair of different modes. The growth rates of the instabilities are calculated and compared with the known result for the Alfvén wave in a zero gas pressure plasma. The only waves that are found not to be excited are the slow plus fast wave pair, and the intermediate plus slow or fast wave pair (unless the waves have a component of propagation direction perpendicular to both the background magnetic field and the direction of non-uniformity of the field).

Type
Research Article
Copyright
Copyright © Cambridge University Press 1977

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References

REFERENCES

Cramer, N. F. 1975 Plasma Phys. 17, 967.CrossRefGoogle Scholar
Cramer, N. F. 1976 Plasma Phys. 18, 749.CrossRefGoogle Scholar
Cramer, N. F. & Hewitt, R. G. 1975 Phys. Lett. 54A, 493.CrossRefGoogle Scholar
Cross, R. C. 1970 Can. J. Phys. 48, 2888.CrossRefGoogle Scholar
Elfimov, A. G. & Nekrasov, F. M. 1973 Nuel. Fusion, 13, 653.CrossRefGoogle Scholar
Fassler, K., Vaclavik, J. & Schneider, H. 1969 Helvetica Physica Acta, 42, 23.Google Scholar
Hung, N. T. 1974 J. Plasma Phys. 12, 445.CrossRefGoogle Scholar
Lashmore-Davies, C. N. 1975 Plasma Phys. 17, 281.CrossRefGoogle Scholar
Lashmore-Davies, C. N. & Ong, R. S. B. 1974 Phys. Rev. Lett. 32, 1172.CrossRefGoogle Scholar
Lashmore-Davies, C. N., & Ong, R. S. B. 1975 Plasma Phys. 17, 485.CrossRefGoogle Scholar
Lehane, J. A. & Paoloni, F. J. 1972 Plasma Phys. 14. 461.CrossRefGoogle Scholar
Montgomery, D. & Harding, R. 1966 Phys. Lett. 23, 670.CrossRefGoogle Scholar
Nishikawa, K. 1968 J. Phys. Soc. Japan, 24, 916.CrossRefGoogle Scholar
Perkins, F. W. & Flick, J. 1971 Phys. Fluids, 14, 2012.CrossRefGoogle Scholar
Vahala, G. & Montgomery, D. 1971 Phys. Fluids, 14, 1137.CrossRefGoogle Scholar
Woods, L. C. 1962 J. Fluid Mech. 13, 570.CrossRefGoogle Scholar