Generation of a d.c. field by nonlinear electromagnetic waves in relativistic plasmas

Details Generation of a d.c. field by nonlinear electromagnetic waves in relativistic plasmas Generation of a d.c. field by nonlinear electromagnetic waves in relativistic plasmas

Sep 1981

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1981ap%26ss..79...25l&link_type=abstract

Astrophysics and Space Science, vol. 79, no. 1, Sept. 1981, p. 25-36.

Astronomy and Astrophysics

Astrophysics

30

Electromagnetic Wave Transmission, Plasma Currents, Plasma-Electromagnetic Interaction, Pulsars, Relativistic Plasmas, Solitary Waves, Electric Fields, Magnetohydrodynamic Stability, Nonlinear Systems, Particle Acceleration, Plasma Equilibrium, Polarized Electromagnetic Radiation, Propagation Modes, Pulsar Magnetospheres, Schroedinger Equation, Stellar Atmospheres, Stellar Models

Scientific paper

Consideration is given to a nonlinear ordinary-mode electromagnetic wave propagating in a relativistic plasma in the absence of an external magnetic field. The Krylov-Bogoliubov-Mitropolsky method is used to derive a nonlinear Schroedinger equation for the evolution of the amplitude of the electromagnetic wave. Conditions for the modulational instability of the electromagnetic wave mode are obtained, and it is shown that the finite-amplitude ordinary-mode wave can generate two longitudinal electric field components associated with the second harmonic of the ordinary wave and a longitudinal dc field generated in the third order, which can play a role in charged particle acceleration in both relativistic as well as nonrelativistic plasmas. In pulsar magnetospheres, the nonlinear electromagnetic waves are found to appear as envelope solitons, which may explain many characteristics of pulsar radio emission.

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