Strong waves in a collisionless, homogeneous plasma - Waveform, polarization and non-linear effects

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Collisionless Plasmas, Plasma Waves, Plasma-Electromagnetic Interaction, Radio Sources (Astronomy), Astrophysics, Coupled Modes, Polarization Characteristics, Wave Equations, Waveforms

Scientific paper

Consideration is given to strong waves in a collisionless, homogeneous plasma, noting waveform, polarization, and nonlinear effects. A system of protons, electrons, and electromagnetic waves is postulated for which Maxwell and Lorentz equations are applicable. In evaluating the one-dimensional, spatially homogeneous system, the grain-like quality of the ambient medium is disregarded and expressions for the charge and current densities are taken as their macroscopic averages. The problem is found to be equivalent to the classical motion of a point mass in a time-independent potential. The potential is described via initial distribution functions. Particular attention is given to high and low energy extremes as compared to the rest energy, high and low carrier-density extremes, and almost transverse and longitudinal oscillations. For gaps in analytical approximations, numerical solutions for the equations of motion in the general potential are given.

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