Hostname: page-component-cd9895bd7-q99xh Total loading time: 0 Render date: 2024-12-27T14:26:53.018Z Has data issue: false hasContentIssue false
  • English
  • Français

Purely-growing parametric instabilities in plasmas at near-critical densities

Published online by Cambridge University Press:  13 March 2009

E. S. Cassedy
E. S. Cassedy
Affiliation:
Polytechnic Institute of New York, Brooklyn, NY 11201
Get access Rights & Permissions [Opens in a new window]

Abstract

The oscillating-two-stream instability (OTSI) is shown to be a zero-frequency absolute instability of the backward-wave parametric type. The instability is shown to be distinct from the concurrent parametric-decay-instability (PDI), even for sub-critical pump frequencies very near the critical value. The analogous ‘purely-growing Brissllouin instability’ (POBI) is shown not to exist, in a collinear interaction, with a travelling-wave pump. In fact we conclude that no such backward-wave, zero frequency, absolute instability could occur in any case where the two interacting, frequency shifted waves are on the same mode of propagation as the travelling-wave pump. Finally, the possibility of a PGBI by means of a standing-wave pump, as suggested earlier by Lashmore-Davies, is confirmed for a collinear interaction, through the identification on the Brilbum diagram of a zero-frequency, back-wave parametric interaction resulting from the coupling of Stokes and anti-Stokes light waves by the standing-wave pumb light wave.

Type
Research Article
Information
Journal of Plasma Physics , Volume 16 , Issue 3 , December 1976 , pp. 371 - 388
Copyright
Copyright © Cambridge University Press 1976

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

Briggs, R. J. 1964 Electron Stream Interactions with Plasmas. M.I.T. Press.CrossRefGoogle Scholar
Brueckner, K. A. & Jorna, S. 1974 Rev. Mod. Phys. 46, 325.CrossRefGoogle Scholar
Cassedy, E. S. 1967 Proc. IEEE 55, 1154.CrossRefGoogle Scholar
Cassedy, E. S. & Evans, C. R. 1972 J. Appl. Phys. 43, 4452.CrossRefGoogle Scholar
Cassedy, E. S. & Mulser, P. 1974 Phys. Rev. (A) 10, 2349.CrossRefGoogle Scholar
Drake, J. F., Kaw, P. K., Lee, Y. C., Schmidt, G., Liu, C. S. & Rosenbluth, M. N. 1974 Phys. Fluids, 17, 778 (cf. Section IIIc).CrossRefGoogle Scholar
Evans, C. R. 1971 Ph.D. Dissertation, Polytechnic Institute of Brooklyn.Google Scholar
Faehi, J. R. & Kauer, W. L. 1974 Bull. Amer. Phys. Soc. 19, 919.Google Scholar
Forslund, D. W., Kindel, J. M., Lee, K. & Lindman, E. L. 1974 Bull. Amer. Phys. Soc. 19, 899.Google Scholar
Forslund, D. W., Kindel, J. M., Lee, K. & Lindman, E. L. 1975 Phys. Rev. Lett. 34 193.CrossRefGoogle Scholar
Fried, B. D., Gould, R. W. & Schmidt, G. 1973 UCLA Plasma Group Report No. PPG- 146.Google Scholar
Gorbunov, L. M. 1969 Soy. Phys. JETP 28, 1220.Google Scholar
Hall, L. S. & Heckrodt, W. 1968 Phys. Rev. 166, 120.CrossRefGoogle Scholar
Kaw, P. K. & Dawson, J. M. 1966 Phys. Fluids, 12, 2586.CrossRefGoogle Scholar
Kaw, P. K. & Lee, Y. C. 1973 Phys. Fluids, 16, 155.CrossRefGoogle Scholar
Kim, H. C., Stenzel, R. L. & Wong, A. Y. 1974 Phys. Rev. Let.t 33, 886.CrossRefGoogle Scholar
Lashmore-Davies, C. N. 1975 Plasma Phys. 17, 281.CrossRefGoogle Scholar
Louisell, W. H. 1960 Coupled Mode ana Parametric Electronics. John Wiley.Google Scholar
Morales, G. J., Lee, Y. C. & White, R. B. 1974 Phys. Rev. Lett. 32, 457.CrossRefGoogle Scholar
Nishikawa, K. 1968 Phys. Soc. Japan, 24, 1152.CrossRefGoogle Scholar
Nishikawa, K. & Lee, Y. C. 1973 Phys. Fluids, 16, 1380.CrossRefGoogle Scholar
Ott, E., McBride, J. B. & Orens, J. H. 1973 Phys. Fluids, 16, 270.CrossRefGoogle Scholar
Sanmartin, J. R. 1970 Phys. Fluids, 13, 1533.CrossRefGoogle Scholar
Stenzel, R. L., Wong, A. Y. & Kim, H. C. 1974 Phys. Rev. Lett. 32, 654, and 33, 886.CrossRefGoogle Scholar
Valeo, E. J. & Kruer, W. L. 1974 Phys. Rev. Lett. 33, 750.CrossRefGoogle Scholar