Hostname: page-component-cd9895bd7-gbm5v Total loading time: 0 Render date: 2024-12-27T13:57:51.521Z Has data issue: false hasContentIssue false
  • English
  • Français

Ray tracing in weakly nonlinear moving media

Published online by Cambridge University Press:  13 March 2009

Dan Censor
Dan Censor
Affiliation:
Department of Electrical Engineering, Ben-GurionUniversity of the Negev, Beer-Sheva, Israel
Get access Rights & Permissions [Opens in a new window]

Abstract

Electromagnetic ray propagation is discussed for weakly nonlinear dispersive media. Specialization to periodic waves justifies the use of a self-excitation model and facilitates the construction of a complete system of ray equations. The solution describes the evolution of frequencies, propagation vectors and amplitudes along the ray path. The formalism may be extended to include the case where a velocity field exists. This is based on special relativity and the Minkowski model for the electrodynamics of moving media. It is assumed that the velocity field varies slowly in space and time. The results are relevant to propagation problems in weakly nonlinear plasmas and optical media.

Type
Research Article
Information
Journal of Plasma Physics , Volume 16 , Issue 3 , December 1976 , pp. 415 - 426
Copyright
Copyright © Cambridge University Press 1976

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

Akhmanov, S. A. & Khokhlov, R. V. 1972 Problems of Nonlinear Optics. Gordon & Broach.Google Scholar
Brandstatter, J. J. 1963 An Introduction to Waves, Rays and Radiation in Plasma Media. McGraw-Hill.Google Scholar
Ginzburg, V. L. 1970 The Propagation of Electromagnetic Waves in Plasmas, 2nd ed. Pergamon.Google Scholar
Gorschkov, K. A., Ostrovsky, L.A. & Pelinovsky, E. N. 1974 Proc. IEEE, 62, 1511.CrossRefGoogle Scholar
Heintzmann, H., Kundt, W. & Lasota, J. P. 1975 Phys. Rev. A12, 204.CrossRefGoogle Scholar
Lee, M. A. & Lerche, I. 1974 Astrophys. J. 194, 409.CrossRefGoogle Scholar
Lerche, I. 1974 Astrophys. J. 194, 403.CrossRefGoogle Scholar
Lerche, I. 1975 Astrophys. J. (Suppl.) 29, 113.CrossRefGoogle Scholar
Mukherjee, P. K. & Talwar, S. P. 1975 Astrophys. Space Sci. 33, 147.CrossRefGoogle Scholar
Ohtsuka, Y. & Ozawa, T. 1975 J. Appl. Phys. Japan, 14 (Suppl. 14−1), 329.CrossRefGoogle Scholar
Poeverlein, H. 1962 Phys. Rev. 128, 956.CrossRefGoogle Scholar
Post, E. J. 1962 Formal Structure of Electromagnetics. North-Holland, Amsterdam.Google Scholar
Schubert, M. & Wilhelmi, B. 1971 Einführung in die nichtlineare Optik, vol. 1. Teubner.Google Scholar
Sommerfeld, A. 1952 Electrodynamics, p. 280ff. Academic.Google Scholar
Whitham, G. B. 1965 Proc. Roy. Soc. A283, 238.Google Scholar