This article is cited in 1 paper

Interaction of a charge with a plane wave in a medium

V. V. Ternovskii, A. M. Khapaev

M. V. Lomonosov Moscow State University, Faculty of Physics

Abstract: The problem of simulating the energy state of a relativistic charge in the field of a circularly polarized plane wave and longitudinal magnetic field in a medium with the refractive index $k\neq 1$ is analyzed. The classical description of the interaction reduces to the integration of the Maxwell-Lorentz equation. The presence of a medium leads to qualitative changes in the charge dynamics. An exact analytic representation of the energy of an ensemble of relativistic charges as a function of the average flight coordinate $\bar{z}$ is obtained for $k=1$. Moreover, the asymptotic approximation for $k\neq 1$ is constructed in the first approximation in $\mu=1-1/k^2$ by the Van der Pol method.

PACS: 03.50.De

Received: 03.06.2003
Revised: 24.07.2003

 English version: Journal of Experimental and Theoretical Physics Letters, 2003, 78:5, 272–275

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