Dynamics of self-accelerating electron beams in a homogeneous magnetic field

• URL: http://arxiv.org/abs/2101.06754v1
• Date: Sun, 17 Jan 2021 19:12:02 GMT
• Title: Dynamics of self-accelerating electron beams in a homogeneous magnetic field
• Authors: Michael Goutsoulas and Nikolaos K. Efremidis
• Abstract summary: We study the interplay between beam self-acceleration and circular motion caused by the magnetic field. A ray optics description is rather useful for the interpretation of the beam dynamics.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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.

Related papers

• Radiation of "breathing" vortex electron packets in magnetic field [5.122951070605613]
  An oscillating charge distribution is expected to emit photons in a magnetic field.<n>This raises a critical question: does this radiation carry away OAM, leading to a loss of the electron's vorticity?<n>We calculate the total radiated power and the angular momentum of the emitted field, quantifying the rate at which a vortex electron loses its energy and OAM while propagating in a longitudinal magnetic field.<n>We find both the radiated power and the angular momentum losses to be negligible indicating that linear accelerators are a prominent tool for maintaining vorticity of relativistic vortex electrons and other charged particles, at least in the quasi-classical approximation
  arXiv  Detail & Related papers  (2025-09-25T14:08:23Z)
• Dynamics of relativistic vortex electrons in external laser fields [2.4924880547843307]
  We systematically study the dynamics of vortex electrons during their head-on collisions with laser pulses. We develop a theoretical framework using Volkov-Bessel wave functions to describe the characteristics of vortex electrons in these external fields. This work serves as a benchmark reference for investigations into the manipulation of vortex electron beams using more realistic laser or other types of external fields.
  arXiv  Detail & Related papers  (2024-08-05T11:32:50Z)
• Generalized Gouy Rotation of Electron Vortex beams in uniform magnetic fields [54.010858975226945]
  We study the dynamics of EVBs in magnetic fields using exact solutions of the relativistic paraxial equation in magnetic fields. We provide a unified description of different regimes under generalized Gouy rotation, linking the Gouy phase to EVB rotation angles. This work offers new insights into the dynamics of EVBs in magnetic fields and suggests practical applications in beam manipulation and beam optics of vortex particles.
  arXiv  Detail & Related papers  (2024-07-03T03:29:56Z)
• Flux trajectory analysis of Airy-type beams [0.0]
  finite-energy Airy-type beams have been proposed in the literature and, in some cases, also implemented in the laboratory. An analysis of the propagation of this type of structured light beams is presented from a flux trajectory perspective.
  arXiv  Detail & Related papers  (2022-10-15T09:38:46Z)
• Motion induced excitation and electromagnetic radiation from an atom facing a thin mirror [62.997667081978825]
  We evaluate the probability of (de-)excitation and photon emission from a neutral, moving, non-relativistic atom, coupled to a quantum electromagnetic field and in the presence of a thin, perfectly conducting plane ("mirror") Results extend to a more realistic model, where the would-be electron was described by a scalar variable, coupled to an (also scalar) vacuum field.
  arXiv  Detail & Related papers  (2022-07-06T20:54:59Z)
• Photon-mediated interactions near a Dirac photonic crystal slab [68.8204255655161]
  We develop a theory of dipole radiation near photonic Dirac points in realistic structures. We find positions where the nature of the collective interactions change from being coherent to dissipative ones. Our results significantly improve the knowledge of Dirac light-matter interfaces.
  arXiv  Detail & Related papers  (2021-07-01T14:21:49Z)
• Machine Learning S-Wave Scattering Phase Shifts Bypassing the Radial Schr\"odinger Equation [77.34726150561087]
  We present a proof of concept machine learning model resting on a convolutional neural network capable to yield accurate scattering s-wave phase shifts. We discuss how the Hamiltonian can serve as a guiding principle in the construction of a physically-motivated descriptor.
  arXiv  Detail & Related papers  (2021-06-25T17:25:38Z)
• Construction of Dirac spinors for electron vortex beams in background electromagnetic fields [0.0]
  Exact solutions of the Dirac equation, a system of four partial differential equations, are rare. Given the growing number of applications of high energy electron beams interacting with a variety of quantum systems in laser fields, novel methods for finding exact solutions to the Dirac equation are called for. We present a method for building up solutions to the Dirac equation employing a recently introduced approach for the description of spinorial fields and their driving electromagnetic fields in terms of geometric algebras.
  arXiv  Detail & Related papers  (2020-11-25T11:55:37Z)
• Electron vortex beams in non-uniform magnetic fields [0.0]
  We consider the quantum theory of paraxial non-relativistic electron beams in non-uniform magnetic fields, such as the Glaser field. We find the wave function of an electron from such a beam and show that it is a joint eigenstate of two ($z$-dependent) commuting gauge-independent operators.
  arXiv  Detail & Related papers  (2020-11-23T21:10:02Z)
• Collective radiation from distant emitters [63.391402501241195]
  We show that the spectrum of the radiated field exhibits non-Markovian features such as linewidth broadening beyond standard superradiance. We discuss a proof-of-concept implementation of our results in a superconducting circuit platform.
  arXiv  Detail & Related papers  (2020-06-22T19:03:52Z)
• General quantum-mechanical solution for twisted electrons in a uniform magnetic field [68.8204255655161]
  A theory of twisted (and other structured) paraxial electrons in a uniform magnetic field is developed. The observable effect of a different behavior of relativistic Laguerre-Gauss beams with opposite directions of the orbital angular momentum penetrating from the free space into a magnetic field is predicted.
  arXiv  Detail & Related papers  (2020-05-13T16:35:10Z)
• Relativistic electron spin dynamics in a strong unipolar laser field [0.0]
  We show proportionality between the change of the electron spin projections and the electric field area of the pulse. It is shown that the classical relativistic predictions are accurately reproduced when using the Foldy-Wouthuysen operator.
  arXiv  Detail & Related papers  (2020-05-06T14:10:09Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.