Astrophysics and Space Science

, Volume 243, Issue 2, pp 427–437 | Cite as

Nonlinear low frequency electromagnetic waves in a relativistic electron-positron plasma

  • N. Ya. Kotsarenko
  • G. A. Stewart
  • V. Vysloukh
Article

Abstract

Using an exact solution of Maxwell's equations and the relativistic equations of motion for electrons and positrons we demonstrate the existence of an electromagnetic wave with a frequency considerably lower that the electron cyclotron frequency. For such a wave the cutoff frequency is determined by the Langmuir frequency and by the wave amplitude. For realistic pulsar parameters a remarkable reduction in the cutoff frequency is then controlled by nonlinear relativistic effects. Modulation instability of this wave is also investigated both analytically and numerically.

Keywords

Exact Solution Electromagnetic Wave Relativistic Equation Relativistic Effect Cutoff Frequency 

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Copyright information

© Kluwer Academic Publishers 1996

Authors and Affiliations

  • N. Ya. Kotsarenko
    • 1
  • G. A. Stewart
    • 1
  • V. Vysloukh
    • 2
  1. 1.Institute of GeophysicsUNAMMexicoMexico
  2. 2.Optics and Electronics, INAOENational Institute of AstrophysicsPueblaMexico

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