On the nonlinear development of the filamentation of an electromagnetic wave in a plasma
Abstract
A nonlinear theory of the development of the filamentation of a plane electromagnetic wave in a plasma is presented. The filamentation phenomenon is closely related to other nonlinear effects such as the oscillating twostream instability and the Langmuir modulational instability. Nonlinear development is described by distinguishing the pump wave and the Stokes and antiStokes waves throughout the interaction. This means solving the coupled nonlinear equations for the interaction of three slowly varying wave envelopes. First the nonlinear calculation is performed by neglecting spatial variation. Then the equation is solved with inclusion of a damping term on the electromagnetic waves. Damping causes an increase in the period of the nonlinear oscillations of the amplitudes. Finally, stationary spatial solutions are obtained.
 Publication:

Plasma Physics
 Pub Date:
 May 1979
 DOI:
 10.1088/00321028/21/5/002
 Bibcode:
 1979PlPh...21..433B
 Keywords:

 Magnetohydrodynamic Stability;
 Nonlinear Equations;
 Plane Waves;
 Plasma Oscillations;
 PlasmaElectromagnetic Interaction;
 Wave Equations;
 Conservation Laws;
 Damping;
 Electrostatic Waves;
 Mathematical Models;
 Perturbation Theory;
 Wave Excitation;
 Plasma Physics