Hostname: page-component-848d4c4894-pjpqr Total loading time: 0 Render date: 2024-07-07T14:30:52.919Z Has data issue: false hasContentIssue false
  • English
  • Français

Electrostatic whistler mode conversion at plasma resonance

Published online by Cambridge University Press:  13 March 2009

J. E. Maggs  and
G. J. Morales
J. E. Maggs
Affiliation:
Physics Department, University of California at Los Angeles, Los Angeles, California 90024, U.S.A.
G. J. Morales
Affiliation:
Physics Department, University of California at Los Angeles, Los Angeles, California 90024, U.S.A.
Get access Rights & Permissions [Opens in a new window]

Abstract

The mode conversion of an electrostatic whistler wave into a Bohm–Gross mode at plasma resonance is analysed for a magnetized plasma with a longitudinal density gradient (i.e. ∇n0 X B = 0). It is found that a whistler incident upon plasma resonance from inside the plasma converts, without producing a reflected wave, into a short-wavelength Bohm-Gross mode that carries energy down the density gradient away from resonance. The detailed structure of the electric field near the resonance is found analytically. It is shown that the production of the Bohm-Gross wave by mode conversion can be described by a model of plasma resonance driven by a k = 0 electric field (i.e. the capacitor plate model). The relation between the driver amplitude and the amplitude of the incident whistler is derived.

Type
Research Article
Information
Journal of Plasma Physics , Volume 41 , Issue 2 , April 1989 , pp. 301 - 322
Copyright
Copyright © Cambridge University Press 1989

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

Antosiewicz, H. A. 1970 Handbook of Mathematical Functions (ed. Abramowitz, M. & Stegun, I. A.). p. 435. Dover.Google Scholar
Baños, A., Maggs, J. E. & Morales, G. J. 1986 Phys. Rev. Lett. 56, 2433.CrossRefGoogle Scholar
Coddington, E. A. & Levinson, N. 1955 Theory of Ordinary Differential Equations, §5.8. McGraw-Hill.Google Scholar
Erdélyi, A., Magnus, W., Oberhettinger, F. & Tricomi, F. 1953 Higher Transcendental Functions. Bateman Manuscript Project, vol. 1. McGraw-Hill.Google Scholar
Maggs, J. E., Baños, A. & Morales, G. J. 1984 J. Math. Phys. 25, 1605.Google Scholar
Morales, G. J. & Lee, Y. C. 1974 Phys. Rev. Lett. 33, 1016.CrossRefGoogle Scholar
Rabenstein, A. L. 1958 Arch. Rat. Mech. Anal. 1, 408.Google Scholar
Shoucri, M. & Kuehl, H. H. 1980 Phys. Fluids, 23, 2461.CrossRefGoogle Scholar
Slater, L. J. 1970 Handbook of Mathematical Functions (ed. Abramowitz, M. & Stegun, I. A.), p. 504. Dover.Google Scholar
Wasow, W. 1953 Ann. Maths, 58, 222.CrossRefGoogle Scholar