Hostname: page-component-586b7cd67f-vdxz6 Total loading time: 0 Render date: 2024-11-26T00:49:20.106Z Has data issue: false hasContentIssue false

Parametric decay of Langmuir waves in an electron beam-plasma system

Published online by Cambridge University Press:  13 March 2009

Joseph E. Willett
Affiliation:
Department of Physics, University of Missouri-Columbia, Columbia, Missouri 65211, U.S.A.
Yildirim Aktas
Affiliation:
Department of Physics, University of Missouri-Columbia, Columbia, Missouri 65211, U.S.A.

Abstract

Backscattering of Langmuir waves from low-frequency electrostatic waves in a plasma traversed by an electron beam is studied. The analysis is based on the use of beam electron, plasma electron, and ion susceptibilities provided by kinetic theory. For the case of a warm electron beam, formulae are derived for the growth rate and threshold associated with resonant backscattering from an ion-acoustic wave modified by the presence of the beam. For the case of a cold electron beam, formulae are derived from the growth rates associated with resonant back-scattering from a modified ion-acoustic wave and from a higher-frequency beam-plasma mode. A numerical study of the effects of an electron beam on these parametric instabilities is included.

Type
Research Article
Copyright
Copyright © Cambridge University Press 1984

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

Akhiezer, A. I., Akhiezer, I. A., Polovin, R. V., Sitenko, A. G. & Stepanov, K. N. 1975 Plasma Electrodynamics. Volume 1. Linear Theory. Pergamon.Google Scholar
Chen, F. 1974 Introduction to Plasma Physics. Plenum.Google 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
Gromov, S. N., Pasechnik, L. L. & Semenyak, V. F. 1976 JETP Lett. 23, 127.Google Scholar
Knoepfel, H., Spong, D. A. & Zweben, S. J. 1977 Phys. Fluids, 20, 511.CrossRefGoogle Scholar
Morales, G. J. & O'Neil, T. M. 1972 Phys. Rev. Lett. 28, 417.CrossRefGoogle Scholar
Nakach, R., Cuperman, S., Gell, Y. & Levush, B. 1981 Phys. Fluids, 24, 1456.CrossRefGoogle Scholar
Porkolab, M. 1978 Nucl. Fusion, 18, 367.CrossRefGoogle Scholar
Porkolab, M., Arunasalam, V. & Ellis, R. A. 1972 Phys. Rev. Lett. 29, 1438.CrossRefGoogle Scholar
Sinha, M. & Sundaram, A. K. 1978 Nucl. Fusion, 18, 199.CrossRefGoogle Scholar