Abstract
The investigation has been made of nonlinear forced longitudinal oscillations of a relativistic plasma. It was demonstrated that: a) the nonlinear terms (v▽)p arising in the equations of motion do not restrict the electron oscillation amplitude increase in the region of plasma resonance; b) the nonlinear terms due to the relativistic nature of oscillations, firstly, limit the oscillation amplitude in the resonance region and, secondly, lead to the development of a parametric instability. The harmonic, sub- and ultraharmonic oscillations turned out to be unstable. The conditions for the instability as well as expressions for the growth rates of unstable oscillations were obtained.
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On leave from the Atomic Energy State Committee, U.S.S.R.
The authors are indebted to Professor Dr. M. El-Nadi for helpful discussions and valuable advice. The assistance of Mr. V. V. Mouchkin in the preparation of this manuscript for publication is greatefully acknowledged.
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Demchenko, V.V., El-Naggar, I.A. Nonlinear longitudinal oscillations of relativistic plasma. Z. Physik 257, 224–234 (1972). https://doi.org/10.1007/BF01401205
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DOI: https://doi.org/10.1007/BF01401205