On the interaction of two beating electrostatic waves with plasma electrons |
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Authors: | Z Malá |
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Institution: | (1) Department of Applied Mathematics, Faculty of Transportation Sciences, Czech Technical University in Prague, Na Florenci 25, Praha 1, Czech Republic |
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Abstract: | This paper is devoted to the study of the interaction of particles with two beating plasma waves. We follow the instructional
article by Ott and Dum. According to them, the sum of wave actions during the interaction is constant, supposing the effect
of trapped particles on the beat can be neglected. In the present paper, this problem is solved more generally, just for the
case of trapped and also untrapped particles in the wave. Our study shows that the sum of wave actions is constant also in
the case when the influence of the trapped particles on the amplitudes of two waves was considered. On the contrary this conclusion
is not valid if it is supposed that two original waves are amplitude modulated e.g. by the influence of the interaction of
the beat with particles.
The author is deeply indebted to Dr. Ladislav Krlín for guidance and encouragement throughout the course of this work. |
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Keywords: | 52 35 Fp 52 35 Mw 52 40 -v |
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