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We investigate the propagation of electron vortex beams in a magnetic field. It is pointed out that when electron vortex beams carrying orbital angular momentum propagate in a magnetic field, the Berry curvature associated with the scalar…

Mesoscale and Nanoscale Physics · Physics 2015-06-24 Debashree Chowdhury , Banasri Basu , Pratul Bandyopadhyay

We have proposed a unified framework towards the dynamics of optical and electron vortex beams from the perspective of geometric phase and the associated Hall effects. The unification is attributed to the notion that the spin degrees of…

Mesoscale and Nanoscale Physics · Physics 2016-05-04 Pratul Bandyopadhyay , Banasri Basu , Debashree Chowdhury

Laboratory optics, typically dealing with monochromatic light beams in a single reference frame, exhibits numerous spin-orbit interaction phenomena due to the coupling between the spin and orbital degrees of freedom of light. Similar…

Optics · Physics 2018-04-18 D. A. Smirnova , V. M. Travin , K. Y. Bliokh , F. Nori

Motivated by the recent discovery of electron vortex beams carrying orbital angular momentum (AM), we construct exact Bessel-beam solutions of the Dirac equation. They describe relativistic and nonparaxial corrections to the scalar electron…

Quantum Physics · Physics 2011-10-18 Konstantin Y. Bliokh , Mark R. Dennis , Franco Nori

We examine the evolution of paraxial beams carrying intrinsic spin and orbital angular momenta (AM) in gradient-index media. A parabolic-type equation is derived which describes the beam diffraction in curvilinear coordinates accompanying…

Optics · Physics 2009-01-25 K. Y. Bliokh , A. S. Desyatnikov

Investigating the interactions of vortex electrons with electromagnetic fields is crucial for advancing particle acceleration techniques, scattering theory in background fields, and developing novel electron beams for material diagnostics.…

Optics · Physics 2024-11-12 Mamutjan Ababekri , Yu Wang , Ren-Tong Guo , Zhong-Peng Li , Jian-Xing Li

Recently, it was shown that a non-zero transverse angular momentum manifests itself in a polarization dependent intensity shift of the barycenter of a paraxial light beam [A. Aiello et al., Phys. Rev. Lett. 103, 100401 (2009)]. The…

Based on a recent claim [Phys. Rev. Lett. 116, 127203 (2016)] that electron vortex can be used to image magnetism at the nanoscale in elastic scattering experiments, using transmission electron microscopy, a comprehensive computational…

Materials Science · Physics 2016-11-23 Alexander Edström , Axel Lubk , Ján Rusz

We consider propagation of a paraxial beam carrying the spin angular momentum (polarization) and intrinsic orbital angular momentum (IOAM) in a smoothly inhomogeneous isotropic medium. It is shown that the presence of IOAM can dramatically…

Optics · Physics 2007-05-23 K. Yu. Bliokh

We show that optical beams propagating in transversally disordered materials exhibit a spin Hall effect and a spin-to-orbital conversion of angular momentum as they deviate from paraxiality. We theoretically describe these phenomena on the…

Optics · Physics 2019-07-31 Tamara Bardon-Brun , Dominique Delande , Nicolas Cherroret

Light possesses both spin and orbital angular momentum (AM). While spin AM is determined by helicity of circular-polarization, orbital AM is characterized by topological charge of vortex beam. Interaction of AM with optical beam orbit leads…

The optical Faraday effect describes the rotation of linear polarization upon propagation through a medium in the presence of a longitudinal magnetic field. The effect arises from a different phase delay between the right and left handed…

Quantum Physics · Physics 2012-11-09 Colin Greenshields , Robert L. Stamps , Sonja Franke-Arnold

Optical vortex beams are a type of topological light characterized by their inherent orbital angular momentum, leading to the propagation of a spiral-shaped wavefront. In this study, we focus on two-dimensional electrons with Rashba and…

Mesoscale and Nanoscale Physics · Physics 2025-12-04 Shunki Yamamoto , Masahiro Sato , Satoshi Fujimoto , Takeshi Mizushima

A quantum state of an electron influences its electromagnetic field. If a spatial profile of the electron wave packet is not Gaussian, the particle may acquire additional intrinsic multipole moments, which alter its field, especially at…

Quantum Physics · Physics 2019-04-22 Dmitry Karlovets

The recent experimental realization of electron vortex beams opens up a wide research domain previously unexplored. The present paper explores the relativistic properties of these electron vortex beams, and quantifies deviations from scalar…

Quantum Physics · Physics 2013-06-17 Ruben Van Boxem , Jo Verbeeck , Bart Partoens

In an oblique section of a paraxial beam with angular momentum, the beam center of gravity (CG) is shifted with respect to its position in the normal cross section. We relate this shift with the internal energy redistribution occurring on…

Optics · Physics 2011-06-07 Aleksandr Bekshaev

We present a relativistic description of electron vortex beams in a homogeneous magnetic field. Including spin from the beginning reveals that spin-polarized electron vortex beams have a complicated azimuthal current structure, containing…

Quantum Physics · Physics 2017-07-21 Koen van Kruining , Armen G. Hayrapetyan , Jörg B. Götte

A circularly polarized rotationally symmetric paraxial laser beams carries hbar angular momentum per photon as spin. Focussing the beam with a rotationally symmetric lens cannot change this angular momentum flux, yet the focussed beam must…

We have studied here the geometrodynamics of relativistic electron vortex beams from the perspective of the geometric phase associated with the scalar electron encircling the vortex line. It is pointed out that the electron vortex beam…

Mesoscale and Nanoscale Physics · Physics 2014-01-21 Pratul Bandyopadhyay , Banasri Basu , Debashree Chowdhury

We describe a novel phenomenon occurring when a polarized Gaussian beam of light is observed in a Cartesian reference frame whose axes are not parallel to the direction of propagation of the beam. Such phenomenon amounts to an intriguing…

Quantum Physics · Physics 2009-02-27 Andrea Aiello , Christoph Marquardt , Gerd Leuchs
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