Soviet Physics Journal

, Volume 21, Issue 9, pp 1164–1168 | Cite as

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

  • Ya. A. Andreev
  • V. Ya. Davydovskii
  • V. G. Sapogin
Article
Received:
  • 16 Downloads

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.

Keywords

Longitudinal Wave Electromagnetic Wave Numerical Estimate Successive Approximation Transverse Component 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
This is a preview of subscription content, log in to check access.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Literature cited

  1. 1.
    Yu. A. Andreev and V. Ya. Davydovskii, Zh. Tekh. Fiz.,45, 3 (1975).Google Scholar
  2. 2.
    A. A. Kolomenskii and A. N. Lebedev, Dokl. Akad. Nauk SSSR,145, 1259 (1962); Zh. Eksp. Teor. Fiz.,44, 261 (1963).Google Scholar
  3. 3.
    V. Ya. Davydovskii, Zh. Eksp. Teor. Fiz.,43, 886 (1962).Google Scholar
  4. 4.
    Yu. A. Andreev, V. Ya. Davydovskii, and V. G. Sapogin, Zh. Tekh. Fiz.,47, 495 (1977).Google Scholar
  5. 5.
    Yu. A. Andreev, V. Ya. Davydovskii, and V. N. Danilenko, Zh. Tekh. Fiz.,46, 413 (1976).Google Scholar
  6. 6.
    Yu. A. Andreev, V. Ya. Davydovskii, and V. N. Danilenko, Zh. Tekh. Fiz.,46, 2380 (1976).Google Scholar
  7. 7.
    V. Ya. Davydovskii and E. M. Yakushev, Zh. Eksp. Teor. Fiz.,52, 1068 (1967).Google Scholar
  8. 8.
    Yu. A. Andreev, V. Ya. Davydovskii, and V. N. Danilenko, Zh. Tekh. Fiz.,48, No. 10, 234 (1978).Google Scholar

Copyright information

© Plenum Publishing Corporation 1979

Authors and Affiliations

  • Ya. A. Andreev
    • 1
  • V. Ya. Davydovskii
    • 1
  • V. G. Sapogin
    • 1
  1. 1.V. D. Kalmykov Taganrog Radiotechnical InstituteUSSR

Personalised recommendations