Dynamics of nonlinearly excited plasma waves

Journal Article · Fri Apr 01 04:00:00 EST 1988 · Phys. Fluids; (United States)

DOI:https://doi.org/10.1063/1.866766· OSTI ID:5289545

Miano, G

In an underdense plasma a large-amplitude plasma oscillation may be produced by the beating of two electromagnetic waves with a frequency difference approximately equal to the plasma frequency. In the spatially one-dimensional, cold, and collisionless plasma the large-amplitude plasma oscillation is limited by the nonlinearity caused by relativistic effects. In this paper a simple nonlinear equation, resembling the original equation of Rosenbluth and Liu (Phys. Rev. Lett. 29, 701 (1972)), is derived in the weak beat power limit from the fully relativistic fluid model proposed by Sprangle, Sudan, and Tang (Appl. Phys. Lett. 45, 375 (1984); Phys. Fluids 28, 1974 (1985)). This equation also contains the effects of the relativistic transverse motion. Its analytical solution, describing the plasma oscillation dynamics, is given in a closed form by using Jacobian elliptic functions. The analytical computations are compared with numerical computations. Finally the fully relativistic equation, describing free plasma oscillations, is studied analytically.

• Research Organization: Electrical Department, University of Naples, 80125 Naples, Italy
• OSTI ID: 5289545
• Journal Information: Phys. Fluids; (United States), Journal Name: Phys. Fluids; (United States) Vol. 31:4; ISSN PFLDA
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
700101 -- Fusion Energy-- Plasma Research-- Confinement
Heating
& Production
700108* -- Fusion Energy-- Plasma Research-- Wave Phenomena
ANALYTICAL SOLUTION
COLD PLASMA
COLLISIONAL PLASMA
CORRELATIONS
DYNAMICS
ELECTROMAGNETIC RADIATION
ENERGY-LEVEL TRANSITIONS
EQUATIONS
EXCITATION
HEATING
MECHANICS
MULTI-PHOTON PROCESSES
NONLINEAR PROBLEMS
NUMERICAL SOLUTION
PLASMA
PLASMA HEATING
PLASMA WAVES
RADIATIONS
RELATIVISTIC PLASMA
RESONANCE