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Effect of a longitudinal wave on the self-resonant motion of electrons

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Abstract

The effect of the longitudinal component of an electromagnetic wave on the self-resonant motion of electrons in waveguides is considered. The equation of motion for electrons in a plane, longitudinal-transverse, circularly polarized wave has been solved by the method of successive approximations with allowance for the longitudinal integral of motion present in such a wave. The expansion parameter is the ratio of the amplitudes of the longitudinal and transverse components of the wave. For the case n < 1 the longitudinal field of the wave does not change the nature of the electron motion, but only induces weak oscillations about a solution that does not include the longitudinal field. For n > 1 with spontaneous phasing of the electrons a criterion is obtained for neglecting the effect of the longitudinal field, and numerical estimates are given.

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Authors and Affiliations

  1. V. D. Kalmykov Taganrog Radiotechnical Institute, USSR

    Ya. A. Andreev, V. Ya. Davydovskii & V. G. Sapogin

Authors
  1. Ya. A. Andreev
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  2. V. Ya. Davydovskii
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  3. V. G. Sapogin
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Additional information

Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 9, pp. 66–71, September, 1978.

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Andreev, Y.A., Davydovskii, V.Y. & Sapogin, V.G. Effect of a longitudinal wave on the self-resonant motion of electrons. Soviet Physics Journal 21, 1164–1168 (1978). https://doi.org/10.1007/BF00894567

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  • DOI: https://doi.org/10.1007/BF00894567

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