Unified Approach towards the Dynamics of Optical and Electron Vortex Beams

Pratul Bandyopadhyay, Banasri Basu, Debashree Chowdhury

Research output: Contribution to journalArticlepeer-review

5 Scopus citations


We have proposed a unified framework towards the dynamics of optical and electron vortex beams from the perspective of the geometric phase and the associated Hall effects. The unification is attributed to the notion that the spin degrees of freedom of a relativistic particle, either massive or massless, are associated with a vortex line. Based on a cylindrical coordinate formulation, which leads to a local vortex structure related to orbital angular momentum (OAM), it can be shown that, when electron vortex beams (EVBs) move in an external electric field, paraxial beams give rise to an OAM Hall effect, and nonparaxial beams with tilted vortices initiate a spin Hall effect in free space as well as in an external field. A similar analysis reveals that the paraxial optical vortex beams (OVBs) in an inhomogeneous medium induce an OAM Hall effect, whereas nonparaxial beams with tilted vortices drive the spin Hall effect. Moreover, both OVBs and EVBs with tilted vortices give rise to OAM states with an arbitrary fractional value.

Original languageEnglish
Article number144801
JournalPhysical Review Letters
Issue number14
StatePublished - 7 Apr 2016
Externally publishedYes

ASJC Scopus subject areas

  • General Physics and Astronomy


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