1978•Unpublished venueRequires access

Dispersion equation and integrals of motion for transverse waves in a plasma

V. Ia. Davydovskii

Abstract

The dispersion equation is derived from the three scalar integrals of motion of a charged particle in a monochromatic, transverse plane wave for the case of circular polarization. When the density of the medium is unperturbed, this dispersion relation is valid for a collisionless relativistic plasma, for arbitrarily strong waves. Familiar results are found from this relation in particular cases. This dispersion relation can be used to study several nonlinear effects.

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Key concepts: Physics, Dispersion relation, Transverse wave, Polarization (electrochemistry), Transverse plane, Classical mechanics, Plasma, Plane wave