Charged particle dynamics in time dependent magnetic fields

Abstract

In this work we study the behavior of charged particles immersed in a peculiar configuration of magnetic fields, which has a main constant field B0 and a superimposed, transversal perturbation field B1 sin(ωpt), with B1 « B0. By taking Cartesian coordinates and placing B0 along the z axis and B1 sin(ωpt) p sin ω 1 on the x axis, an analytical solution for y(t) may be obtained by solving an integrodifferential equation. Besides, the solution z(t) also exhibits a very interesting dynamics, and the entire system is conditioned by resonances between the particle orbit frequencies and the frequency of the magnetic transversal perturbation, ωp In this work we also discuss numerical simulations for the related particle trajectories, as well as potential applications in the context of separation phenomena. © All rights are reserved by the authors.