Hostname: page-component-cd9895bd7-jn8rn Total loading time: 0 Render date: 2024-12-26T03:32:39.596Z Has data issue: false hasContentIssue false
  • English
  • Français

Nonlinear electromagnetic waves in an inhomogeneous plasma

Published online by Cambridge University Press:  13 March 2009

Gabriele Cicconi
Gabriele Cicconi
Affiliation:
Dipartimento di Ingegneria Elettrica, Università degli Studi di Genova, Via all'Opera Pia 11a, I-16145 Genova GE, Italy
Get access Rights & Permissions [Opens in a new window]

Abstract

A stationary theoretical model giving an asymptotic description of the propagation of nonlinear electromagnetic waves in an inhomogeneous plasma is presented. The plasma, considered within the hydrodynamic approximation and assumed to be cold, collisionless, unmagnetized and electroneutral, is described in terms of a nonlinear dielectric function giving the effect of the Miller ponderomotive force. In an infinitely extended slab geometry, a variable transverse density gradient, assumed to be parabolic, is considered in the case when a monochromatic electromagnetic wave is incident upon the slab at an arbitrary angle. The transverse structure of the wave electric field is determined along with the perturbed plasma density profile. The nonlinear wave equation with slowly varying coefficients derived using this model is solved in first and second approximations using an asymptotic multiple-space-scale method due to Bogolyoubov and Mitropolskii. The critical conditions for resonant electrostatic absorption and mode conversion are derived and discussed within these approximations, and some reference numerical calculations are performed.

Type
Research Article
Information
Journal of Plasma Physics , Volume 47 , Issue 1 , February 1992 , pp. 1 - 14
Copyright
Copyright © Cambridge University Press 1992

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

Adam, J. C., Goudin Servenière, A. & Laval, G. 1982 Phys. Fluids 25, 376.Google Scholar
Andreev, N. E., Silin, V. P. & Silin, P. V. 1983 Nonlinear Waves (ed. Debnath, L.). Cambridge University Press.Google Scholar
Bogolyoubov, N. N. & Mitropolskii, O. A. 1962 Asymptotic Methods in Nonlinear Oscillations. Gordon & Breach.Google Scholar
Davidson, R. C. 1972 Nonlinear Plasma Theory. Academic.Google Scholar
Eggleston, D. L., Wong, A. Y. & Darrow, C. B. 1982 Phys. Fluids 25, 257.Google Scholar
Ikezi, H., Nishikawa, K. & Mima, K. 1974 J. Phys. Soc. Japan 37, 766.Google Scholar
Lee, K., Forslund, D. W., Kindel, J. M. & Lindman, E. L. 1977 Phys. Fluids 20, 51.Google Scholar
Morales, G. J. & Lee, Y. C. 1977 Phys. Fluids 20, 1135.CrossRefGoogle Scholar
Nezlin, M. V. 1981 Plasma Physics ST (ed. Kadomtsev, B. B.). Mir.Google Scholar
Tsytovich, V. N. 1970 Nonlinear Effects in Plasma. Plenum.Google Scholar