Hostname: page-component-8448b6f56d-qsmjn Total loading time: 0 Render date: 2024-04-23T18:21:55.454Z Has data issue: false hasContentIssue false

Parametric instabilities with well separated frequencies in magnetized plasmas

Published online by Cambridge University Press:  13 March 2009

Yu-Mei Chou
Affiliation:
Institute of Physics, Academic Sinica, Beijing, People's Republic of China
Shih-Tung Tsai
Affiliation:
International Center for Theoretical Physics, Trieste, Italy

Abstract

A nonlinear dispersion relation is derived for a homogeneous, magnetized plasma by the conventional ‘ponderomotive force’ method. By using this dispersion relation, various parametric instabilities (stimulated anomalous absorptions and scatterings) are discussed. The results are compared in detail with those obtained by other authors. In the validity region of this model the results derived by previous authors can be recovered. In addition to obtaining a few instabilities which have not been published in the literature, we also find that in general (i) the ‘dipole approximation’ can give the right results for the stimulated anomalous absorption problems and (ii) the ambient magnetic field may enhance the plasma stability.

Type
Research Article
Copyright
Copyright © Cambridge University Press 1981

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

Chen, L. 1977 Plasma Phys. 19, 47.CrossRefGoogle Scholar
Drake, J. F., Kaw, P. K., Lee, Y. C., Schmidt, G., Liu, C. S. & Rosenbluth, M. N. 1974 Phys. Fluids, 17, 778.CrossRefGoogle Scholar
Johnston, S., Kaufman, A. N. & Johnston, G. L. 1978 J. Plasma Phys. 20, 365.CrossRefGoogle Scholar
Lee, K. F. 1974 Phys. Fluids, 17, 1220.CrossRefGoogle Scholar
Lee, Y. C. & Kaw, P. K. 1972 Phys. Fluids, 15, 911.CrossRefGoogle Scholar
Manheimier, W. M. & Ott, E. 1974 Phys. Fluids, 17, 1413.CrossRefGoogle Scholar
Maraghecki, B. & Willett, J. E. 1979 J. Plasma Phys. 21, 97.CrossRefGoogle Scholar
Porkolab, M. 1972 a Symposium on Plasma Heating and Injection (Bologna), p. 46.Google Scholar
Porkolab, M. 1972 b Nucl. Fusion, 12, 329.CrossRefGoogle Scholar
Porkolab, M. 1974 Phys. Fluids, 17, 1432.CrossRefGoogle Scholar
Porkolab, M. 1978 Nucl. Fusion, 18, 367.CrossRefGoogle Scholar
Sanuki, H. & Schmidt, G. 1977 J. Phys. Soc. Japan, 42, 664.CrossRefGoogle Scholar
Simon, A. & Thompson, W. B. (ed.) 1975 Advances in Plasma Physics, vol. 6, p. 225.Google Scholar
Stix, T. H. 1962 The Theory of Plasma Waves. McGraw-Hill.Google Scholar
Tripathi, V. K., Liu, C. S. & Grebogi, C. 1979 Phys. Fluids, 22, 301.CrossRefGoogle Scholar
Willett, J. E. & Maraghechi, B. 1978 J. Plasma Phys. 19, 313.CrossRefGoogle Scholar