Accession Number:

AD0404797

Title:

NONLINEAR THEORY OF PLASMA OSCILLATIONS

Descriptive Note:

Technical note

Corporate Author:

STANFORD UNIV CA MICROWAVE LAB

Personal Author(s):

Report Date:

1962-01-01

Pagination or Media Count:

19.0

Abstract:

The nonlinear properties of electrostatic waves in a uniform, zero-temperature plasma free from magnetic field is investigated by two independent perturbation procedures. The first of these is the derivative-expansion technique, applied to the Lagrangian variable formalism. The second is a canonical-transformation procedure based on a Hamiltonian description. Both procedures lead to the same formula for the dominant four wave interaction process. If the spectrum is one-dimensional, the wave interaction vanishes. In general, the effect of wave interactions may be divided into coherent and incoherent contributions. The former leads to a frequency displacement which may be characterized by a dispersion relation. This is evaluated for a test wave in a thermally excited plasma and found to be of the standard form. The study of incoherent interaction is postponed for a subsequent article.

Subject Categories:

  • Plasma Physics and Magnetohydrodynamics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE