Hostname: page-component-7bb8b95d7b-w7rtg Total loading time: 0 Render date: 2024-09-27T01:44:12.526Z Has data issue: false hasContentIssue false
  • English
  • Français

Wave propagation in non-uniform plasmas near the second electron cyclotron harmonic

Published online by Cambridge University Press:  13 March 2009

D. E. Baldwin
D. E. Baldwin
Affiliation:
Department of Engineering and Applied Science, Yale University, New Haven, Connecticut
Get access Rights & Permissions [Opens in a new window]

Abstract

Equations are derived which may be used to describe the propagation of electromagnetic waves in non-uniform magnetized plasma when the wave frequency is near the second electron cyclotron harmonic. The method used is to expand the linearized Vlasov equation in powers of the electron Larmor radius divided by a typical scale length. The general equations are then specialized to the problem of the coupling of transverse waves to the longitudinal modes (Bernstein modes) which exist when all quantities vary only in a plane perpendicular to a straight magnetic field. The form of these equations for two simple models of the equilibrium plasma is given. Comments are made about the equations for the higher harmonics, and the question of boundary conditions is discussed. Finally, the general equations are examined in the limit Ω→0 in order to provide equations suitable for the description of high frequency waves in non-magnetized plasmas.

Type
Research Article
Information
Journal of Plasma Physics , Volume 1 , Issue 3 , August 1967 , pp. 289 - 304
Copyright
Copyright © Cambridge University Press 1967

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

REFERENCE

Bernstein, I. B. 1958 Phys. Rev. 109, 10.CrossRefGoogle Scholar
Bernstein, I. B. & Trehan, S. K. 1960 Nuclear Fu.gion 1, 3.CrossRefGoogle Scholar
Bernstein, I. B. & Weenink, M. P. 1966 Bull. Am. Phys. Soc. 11, 560.Google Scholar
Buchsbaum, S. J. & Hasegawa, A. 1964 Phys. Rev. Letters 12, 685.CrossRefGoogle Scholar
Buchsbaum, S. J. & Hasegawa, A. 1966 Phys. Rev. A 143, 303.CrossRefGoogle Scholar
Kuehl, H. 1967 Phys. Rev. 154, 124.CrossRefGoogle Scholar
Kulsrud, R. M. 1964 Advanced Plasma Theory (Proceedings of the International School of Physics, Enrico Fermi, Varonna), ed. Rosenbiuth, M. N., p. 72 et seq. New York: Academic Press.Google Scholar
Parker, J. V., Nickel, J. C. & Gould, R. W. 1964 Phys. Fluids 7, 1489.CrossRefGoogle Scholar
Pearson, G. A. 1966 Phys. Fluids 9, 2454.CrossRefGoogle Scholar
Pearson, G. A. & Buchsbaum, S. J. 1966 Bull. Am. Phys. Soc. 11, 560.Google Scholar
Rosenbluth, M. N., Krall, N. A. & Rostocker, N. 1962 Nuclear Fusion Supplement, Part I, p. 143.Google Scholar
RRosenbluth, M. N., & Simon, A. 1965 Phys. Fluids 8, 1300.CrossRefGoogle Scholar
Rowlands, . 1965 Jour. Nucl. Ener. Pt. C 7, 430.CrossRefGoogle Scholar
Stix, T. H. 1965 Phys. Rev. Letters 15, 878.CrossRefGoogle Scholar
Thompson, W. B. 1962 An Introduction to Plasma Physics. Reading, Massachusetts: Addison-Wesley.CrossRefGoogle Scholar