Relativistic electron vortex beams in a laser field

TL;DR

This paper investigates how electron vortex beams interact with laser fields, revealing that orbital and spin Hall effects cause shifts in beam centers, with paraxial beams experiencing larger shifts than non-paraxial ones.

Contribution

It provides a theoretical analysis of orbital and spin Hall effects in electron vortex beams interacting with laser fields, highlighting differences between paraxial and non-paraxial regimes.

Findings

Paraxial beams exhibit larger shifts due to orbital Hall effect.

Non-paraxial beams show shifts from spin Hall effect.

Laser fields influence the center position of electron vortex beams.

Abstract

The orbital angular momentum Hall effect and spin Hall effect of electron vortex beams (EVB) have been studied for the EVBs interacting with laser field. In the scenario of paraxial beam, the cumulative effect of the orbit-orbit interaction of EVBs and laser fields drives the orbital Hall effect, which in turn produces a shift of the center of the beam from that of the field-free case towards the polarization axis of photons. Besides, for non-paraxial beams one can also perceive a similar shift of the center of the beam owing to spin Hall effect involving spin-orbit interaction. Our analysis suggests that the shift in the paraxial beams will always be larger than that in non-paraxial beams.