Van der Pol Model for Unstable Waves on a Beam-Plasma System

Peter DeNeef; Herbert Lashinsky

doi:10.1103/PhysRevLett.31.1039

Van der Pol Model for Unstable Waves on a Beam-Plasma System

Peter DeNeef and Herbert Lashinsky

Phys. Rev. Lett. 31, 1039 – Published 22 October 1973

Abstract

The unstable modes on a low-density, cold-electron-beam-plasma system are treated as an ensemble of Van der Pol oscillators. This model predicts the observed amplitude limiting of unstable waves at the neighboring frequencies of a launched wave that traps the beam electrons.

Received 17 August 1973

DOI:https://doi.org/10.1103/PhysRevLett.31.1039

Authors & Affiliations

Peter DeNeef^*

Physics Department, University of California at San Diego, La Jolla, California 92037

Herbert Lashinsky^†

Institute for Fluid Dynamics and Applied Mathematics, University of Maryland, College Park, Maryland 20742

^*Present address: Department of Applied Sciences, University of California, Davis, Calif. 95616. Work at San Diego supported by National Science Foundation Grant No. GP-27120.
^†Work supported by U. S. Atomic Energy Commission Contract No. AT(40-1)3405 and U. S. Air Force Office of Scientific Research Contract No. AFOSR 72 2179