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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 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

A general orbital angular momentum (OAM) mode selection principle is put forward involving the rotationally symmetric superposition of chiral states. This principle is not only capable of explaining the operation of spiral zone plate…

Quantum Physics · Physics 2017-09-06 Yuanjie Yang , G. Thirunavukkarasu , M. Babiker , Jun Yuan

We consider semiclassical higher-order wave packet solutions of the Schrodinger equation with phase vortices. The vortex line is aligned with the propagation direction, and the wave packet carries a well-defined orbital angular momentum…

Quantum Physics · Physics 2008-11-26 K. Yu. Bliokh , Yu. P. Bliokh , S. Savel'ev , F. Nori

Vortices are whirling disturbances commonly found in nature ranging from tremendously small scales in Bose-Einstein condensates to cosmologically colossal scales in spiral galaxies. An optical vortex, generally associated with a spiral…

Optics · Physics 2021-08-23 Chenhao Wan , Jian Chen , Andy Chong , Qiwen Zhan

Electron vortex beams carrying intrinsic orbital angular momentum (OAM) are produced in electron microscopes where they are controlled and focused using magnetic lenses. We observe various rotational phenomena arising from the interaction…

Electron vortex beams carry well-defined orbital angular momentum (OAM) about the propagation axis. Such beams are thus characterised by chirality features which make them potentially useful as probes of magnetic and other chiral materials.…

Quantum Physics · Physics 2015-06-15 J. Yuan , S. M. Lloyd , M. Babiker

To manipulate orbital angular momentum (OAM) carried by light beams, there is a great interest in designing various optical elements from the deep-ultraviolet to the microwave. Normally, the OAM variation introduced by optical elements can…

Optics · Physics 2018-10-31 Dengke Zhang , Xue Feng , Yidong Huang

The intrinsic rotation of electron vortex beams, governed by their phase structure, has been experimentally observed in magnetic fields by breaking the beam's cylindrical symmetry. However, conventional Landau states, which predict three…

Quantum Physics · Physics 2025-06-13 Qi Meng , Xuan Liu , Wei Ma , Zhen Yang , Liang Lu , Alexander J. Silenko , Pengming Zhang , Liping Zou

Electron vortex beams hold great promise for development in transmission electron microscopy, but have yet to be widely adopted. This is partly due to the complex set of interactions that occur between a beam carrying orbital angular…

Optics · Physics 2016-06-29 L. Clark , G. Guzzinati , A. Béché , A. Lubk , J. Verbeeck

We present a comprehensive review on the geometric-phase based metasurfaces for orbital angular momentum(OAM) generation and detection. These metasurfaces manipulate the electromagnetic (EM) wave by introducing abrupt phase change, which is…

Optics · Physics 2018-03-12 Menglin L. N. Chen , Li Jun Jiang , Wei E. I. Sha

The recent demonstration of electron vortex beams has opened up the new possibility of studying orbital angular momentum (OAM) in the interaction between electron beams and matter. To this aim, methods to analyze the OAM of an electron beam…

Optics · Physics 2014-02-18 Giulio Guzzinati , Laura Clark , Armand Béché , Jo Verbeeck

We report the use of an electrostatic MEMS-based device to produce high quality electron vortex beams with more than 1000 quanta of orbital angular momentum (OAM). Diffraction and off-axis electron holography experiments are used to show…

Standard electron optics predicts Larmor image rotation in the magnetic lens field of a TEM. Introducing the possibility to produce electron vortex beams with quantized orbital angular momentum brought up the question of their rotational…

The physics of coherent beams of photons carrying axial orbital angular momentum (OAM) is well understood and such beams, sometimes known as vortex beams, have found applications in optics and microscopy. Recently electron beams carrying…

Quantum Physics · Physics 2015-06-04 Gregg M. Gallatin , Ben McMorran

Recent reports on the intriguing features of vector vortex bearing beams are analyzed using geometric phases in optics. It is argued that the spin redirection phase induced circular birefringence is the origin of topological phase…

Quantum Physics · Physics 2009-05-15 S C Tiwari

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 have constructed the geometric phases emerging from the non-trivial topology of a space-dependent magnetic field, interacting with the spin magnetic moment of a neutral particle. Our basic tool is the local unitary transformation which…

Atomic Physics · Physics 2015-06-05 Marie-Anne Bouchiat , Claude Bouchiat

Geometric phases play an enormous role in optics and are generally associated with the evolution of light's polarization state on the Poincar\'{e} sphere, or its spin on the sphere of spin directions. Here we put forward a new kind of…

Optics · Physics 2026-04-28 Alex J. Vernon , Konstantin Y. Bliokh

Structured electron beams carrying orbital angular momentum are currently of considerable interest, both from a fundamental point of view and for application in electron microscopy and spectroscopy. Until recently, most studies have focused…

Quantum Physics · Physics 2019-01-23 G. Thirunavukkarasu , M. Mousley , M. Babiker , J. Yuan
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