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Nonlinear interaction of a beam of finite density with a longitudinal wave

  • Plasma Physics
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Russian Physics Journal Aims and scope

Quasistationary evolution of a longitudinal wave of finite amplitude in a homogeneous collisionless plasma penetrated by an electron beam is described. The evolution of the wave is accompanied by trapping of the beam electrons in the potential wells of the plasma. For a beam of rather high density with a small longitudinal velocity spread, the contribution of the trapped beam electrons to the total charge described by the right side of the Poisson equation can be comparable to the contribution of nonresonant electrons. As a result, the wave potential profile is distorted in the range of phase oscillations of the beam electrons, whereas outside the range it remains unperturbed throughout the spatial period. The wave becomes a hybrid of two waves whose fragments, alternating, follow one after another. Their amplitudes and spatial periods are different. Analysis of the dispersion equation for such a wave shows that as the wave amplitude increases rather greatly, an anomalously great frequency shift is observed and the frequency halves.

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Authors and Affiliations

  1. Southern Federal University, Institute of Technology, Taganrog, Russia

    A. I. Matveev

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  1. A. I. Matveev
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Correspondence to A. I. Matveev.

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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 4, pp. 103–109, April, 2012.

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Matveev, A.I. Nonlinear interaction of a beam of finite density with a longitudinal wave. Russ Phys J 55, 458–465 (2012). https://doi.org/10.1007/s11182-012-9833-2

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  • DOI: https://doi.org/10.1007/s11182-012-9833-2

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