Dynamics of self-accelerating electron beams in a homogeneous magnetic field
Abstract
We examine the dynamics of electron beams that, in free space, are self-accelerating, in the presence of an additional magnetic field. We focus our attention in the case of Airy beams that follow parabolic trajectories and in generalized classes of beams associated with power-law trajectories. We study the interplay between beam self-acceleration and the circular motion caused by the magnetic field. In the case of Airy beams, using an integral representation, we find closed-form solutions for the electron wavefunction. We also derive asymptotic formulas for the beam trajectories both for Airy beams and for self-accelerating power-law beams. A ray optics description is rather useful for the interpretation of the beam dynamics. Our results are in excellent comparison with direct numerical simulations.
Keywords
Cite
@article{arxiv.2101.06754,
title = {Dynamics of self-accelerating electron beams in a homogeneous magnetic field},
author = {Michael Goutsoulas and Nikolaos K. Efremidis},
journal= {arXiv preprint arXiv:2101.06754},
year = {2021}
}