NONLINEAR THEORY OF PLASMA OSCILLATIONS
STANFORD UNIV CA MICROWAVE LAB
Pagination or Media Count:
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.
- Plasma Physics and Magnetohydrodynamics