Hostname: page-component-78c5997874-fbnjt Total loading time: 0 Render date: 2024-11-19T09:51:27.205Z Has data issue: false hasContentIssue false
  • English
  • Français

Coupled fields in inhomogeneous warm plasmas with static pressure gradients. I

Published online by Cambridge University Press:  24 October 2008

R. Burman
R. Burman
Affiliation:
Department of Physics, University of Western Australia
Get access Rights & Permissions [Opens in a new window]

Abstract

.This paper deals with small amplitude waves in inhomogeneous warm electron plasmas. The waves are coupled electromagnetic and electron-acoustic waves, and are described by Maxwell's equations together with single-fluid hydrodynamical equations. Here, previous work is generalized by including the effect of a static pressure gradient. Coupled wave equations are obtained and specialized to the case of a planar stratified plasma. Then, as a preliminary to a treatment of wave coupling, the behaviour of the solutions of the uncoupled wave equations in a coupling region is investigated. The static pressure gradient complicates the behaviour of the uncoupled field components; singularities occur at two points which coalesce as the static pressure gradient is allowed to tend to zero.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 72 , Issue 2 , September 1972 , pp. 285 - 297
Copyright
Copyright © Cambridge Philosophical Society 1972

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

(1)Föbsterling, K. and Wüster, H. O.Über die Enstehung von Oberwellen in der Ionosphäre. J. Atmospheric Terr. Phys. 2 (1951), 22–31.CrossRefGoogle Scholar
(2)Denisov, N. G.On a singularity of the field of an electromagnetic wave propagated in an inhomogeneous plasma. Soviet Physics: JETP 4 (1957), 544–553.Google Scholar
(3)Bodden, K. G.Radio waves in the ionosphere (Cambridge University Press, 1961).Google Scholar
(4)Ginzbdrg, V. L.The propagation of electromagnetic waves in plasmas, section 20. (Pergamon, Oxford, 1964).Google Scholar
(5)Hirsch, P. and Shmoys, J.i?-mode propagation in a plane-stratified plasma. Radio Sci. J. Res. NBSIUSNC-URSI 69D (1965), 521–527.Google Scholar
(6)Burman, R.Coupled wave equations for propagation in inhomogeneous compressible plasmas. Proc. Cambridge Philos. Soc. 63 (1967), 1229–1246.CrossRefGoogle Scholar
(7)Fbiedlandeb, F. G.Sound pulses, chapter 1. (Cambridge University Press, 1958).Google Scholar
(8)Rao, S. S., Unz, H. and Musax, H. M.On the adiabatic equation of state for inhomogeneous warm plasmas. Proc. IEEE 54 (1966), 1224–1225.CrossRefGoogle Scholar
(9)Burman, R.Wave equations for inhomogeneous warm magnetoplasmas. Phys. Letts. 26A (1968), 137–138.CrossRefGoogle Scholar
(10)Chen, H. C. and Cheng, D. K.A useful matrix inversion formula and its applications. Proc. IEEE 55 (1967), 705–706.CrossRefGoogle Scholar
(11)Burman, R.A dyadic in the theory of waves in inhomogeneous warm plasmas. Proc. IEEE 56 (1968), 1738–1740.CrossRefGoogle Scholar
(12)Burman, R.On the electrostatic potential in stratified media. Proc. IEEE 54 (1966), 74–75.CrossRefGoogle Scholar
(13)Morse, P. M. and Feshbach, H.Methods of theoretical physics, pp. 810–811. (McGraw-Hill, New York, 1953).Google Scholar