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Electric field lines of an arbitrarily moving charged particle

2021/09/22 by S.G. Arutunian, Arutunian, S. G., М. А. Агинян +7
Physics and Astronomy · #Classical Physics (physics.class-ph) #FOS: Physical sciences #Instrumentation and Detectors (physics.ins-det) #Ionosphere and magnetosphere dynamics #Laser-Plasma Interactions and Diagnostics #Magnetic confinement fusion research

paper · pdf · doi:10.48550/arxiv.2109.10792

openalex publication_date 2021/09/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper it is shown that the equations of electric field lines of an arbitrarily moving charged particle in the general case are reduced to homogeneous, linear differential equations with variable coefficients. For trajectories where the expression b=Zeta/(Gamma*Kappa) is a constant (Zeta - orbit torsion, Kappa - orbit curvature, Gamma - Lorentz factor of a particle) these equations are reduced to homogeneous, linear differential equations with constant coefficients. This case, in particular, includes all planar trajectories. This paper presents solutions of the equations of electric field lines and corresponding illustrations both in the orbital plane and outside it for a charge moving in a flat monochromatic linearly polarized wave.

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