Hostname: page-component-cd9895bd7-gvvz8 Total loading time: 0 Render date: 2024-12-26T03:47:14.207Z Has data issue: false hasContentIssue false
  • English
  • Français

Dispersion and energy conservation relations of surface waves in semi-infinite plasma

Published online by Cambridge University Press:  13 March 2009

V. Atanssov
V. Atanssov
Affiliation:
Faculty of Physics, Sofia University, 1126 Sofia, Bulgaria
Get access Rights & Permissions [Opens in a new window]

Abstract

The hydrodynamic theory of surface wave propagation in semi-infinite homogeneous isotropic plasma is considered. Explicit linear surface wave solutions are given for the electric and magnetic fields, charge and current densities. These solutions are used to obtain the well-known dispersion relations and, together with the general energy conservation equation, to find appropriate definitions for the energy and the energy flow densities of surface waves. These densities are associated with the dispersion relation and the group velocity by formulae similar to those for bulk waves in infinite plasmas. Both cases of high-frequency (HF) and low-frequency (LF) surface waves are considered.

Type
Research Article
Information
Journal of Plasma Physics , Volume 25 , Issue 2 , April 1981 , pp. 285 - 307
Copyright
Copyright © Cambridge University Press 1981

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

Atanassov, V., Mateev, E. & Zhelyazkov, I. 1980 Proceedings of Internationl Conference on Plasma Physics, Nagoya, Japan, vol. 1, p. 23.Google Scholar
Atanassov, V., Zhelyazkov, I. & Shivarova, A. 1974 Z. Physik, 269, 215.CrossRefGoogle Scholar
Auerbach, S. P. 1979 Phys. Fluids, 22, 1650.CrossRefGoogle Scholar
Barr, H. C. & Boyd, T. J. M. 1972 J. Phys. A 5, 1108.Google Scholar
Bingham, R. & Lashmore-Davies, C. N. 1979 J. Plasma Phys. 21, 51.CrossRefGoogle Scholar
Guernsey, R. L. 1969 Phys. Fluids, 12, 1852.CrossRefGoogle Scholar
Kaw, P. K. & Mcbride, J. B. 1970 Phys. Fluids, 13, 1784.CrossRefGoogle Scholar
Krall, N. A. & Trivelpiece, A. W. 1973 Principles of Plasma Physics. McGraw-Hill.CrossRefGoogle Scholar
Landau, L. D. & Lifshitz, E. M. 1975 Electrodynamics of Continuous Media. Pergamon.Google Scholar
Shafranov, V. D. 1963 Voprossy teorii plazmy (Problems of the Plasma Theory), vol. 3, p. 3. Gosatomizdat, Moscow.Google Scholar
Shivarova, A. P. 1974 J. Phys. A 7, 881.Google Scholar
Shivarova, A. & Zhelyazkov, I. 1978 Plasma Phys. 20, 1049.CrossRefGoogle Scholar
Van Kampen, N. G. 1957 Physica, 23, 641.CrossRefGoogle Scholar
Weiland, J. & Wilhelmsson, H. 1977 Coherent Non-Linear Interaction of Waves in Plasmas. Pergamon.Google Scholar