On nonlinear oscillations in an inhomogeneous electron flux

T. V. Koval', A. P. Privezentsev, G. P. Fomenko

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Abstract

This work considers nonlinear oscillations in an inhomogeneous electron flux moving in a high-frequency field between two parallel planes placed perpendicular to the beam motion. It is shown with the help of the Hamiltonian formalism in the threewave approximation that under specific conditions there occurs a periodic exchange of energy between the high-frequency field and the electron flux and also between the long-wave and short-wave harmonics of the flux.

Original language	English
Pages (from-to)	563-568
Number of pages	6
Journal	Soviet Physics Journal
Volume	24
Issue number	6
DOIs	https://doi.org/10.1007/BF00892959
Publication status	Published - Jun 1981

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ASJC Scopus subject areas

Engineering(all)
Physics and Astronomy(all)

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Koval', T. V., Privezentsev, A. P., & Fomenko, G. P. (1981). On nonlinear oscillations in an inhomogeneous electron flux. Soviet Physics Journal, 24(6), 563-568. https://doi.org/10.1007/BF00892959

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N2 - This work considers nonlinear oscillations in an inhomogeneous electron flux moving in a high-frequency field between two parallel planes placed perpendicular to the beam motion. It is shown with the help of the Hamiltonian formalism in the threewave approximation that under specific conditions there occurs a periodic exchange of energy between the high-frequency field and the electron flux and also between the long-wave and short-wave harmonics of the flux.

AB - This work considers nonlinear oscillations in an inhomogeneous electron flux moving in a high-frequency field between two parallel planes placed perpendicular to the beam motion. It is shown with the help of the Hamiltonian formalism in the threewave approximation that under specific conditions there occurs a periodic exchange of energy between the high-frequency field and the electron flux and also between the long-wave and short-wave harmonics of the flux.

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Access to Document

10.1007/BF00892959