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The carrier or medium of electromagnetic waves has been vainly searched for many years, and now it has been caught after the establishment of the dynamic equations in photon gas. The photon's rest mass has been estimated from the cosmic…

General Physics · Physics 2010-03-02 Jikang Chen

Starting from the time-dependent Ginzburg-Landau (TDGL) equations for a type II superconductor, we derive the equations of motion for the displacement field of a moving vortex lattice without inertia or pinning. We show that it is linearly…

Condensed Matter · Physics 2009-10-31 R. Aditi Simha , Sriram Ramaswamy

We present experimental and theoretical results on formation of quantum vortices in a laser beam propagating in a nonlinear medium. Topological constrains richer than the mere conservation of vorticity impose an elaborate dynamical behavior…

Optics · Physics 2024-01-22 Thibault Congy , Pierre Azam , Robin Kaiser , Nicolas Pavloff

Beyond its spin, light can also carry intrinsic orbital angular momentum (IOAM), termed as vortex light. In this study, we derive effective ray equations for vortex light by applying the WKB approximation to the covariant Maxwell equations.…

General Relativity and Quantum Cosmology · Physics 2025-01-03 Wei-Si Qiu , Dan-Dan Lian , Peng-Ming Zhang

The article produces a brief review of some recent results which predict stable propagation of solitons and solitary vortices in models based on the nonlinear Schroedinger equation including fractional one- or two-dimensional diffraction…

Pattern Formation and Solitons · Physics 2021-08-27 Boris A. Malomed

Within the scope of the relativistic quantum theory for electron-laser interaction in a medium and using the resonant approximation for the two degenerated states of an electron in a monochromatic radiation field [1] a nonperturbative…

Quantum Physics · Physics 2007-05-23 H. K. Avetissian , A. L. Khachatryan , G. F. Mkrtchian

The analysis of twisted (vortex) paraxial photons and electrons is fulfilled in the framework of relativistic quantum mechanics. The use of the Foldy-Wouthuysen representation radically simplifies a description of relativistic electrons and…

Quantum Physics · Physics 2019-09-25 Alexander J. Silenko , Pengming Zhang , Liping Zou

By means of systematic simulations we demonstrate generation of a variety of ring-shaped optical vortices (OVs) from a two-dimensional input with embedded vorticity, in a dissipative medium modeled by the cubic-quintic complex…

Pattern Formation and Solitons · Physics 2018-05-23 Shiquan Lai , Huishan Li , Yunli Qui , Xing Zhu , Dumitru Mihalache , Boris A. Malomed , Yingji He

It is shown that a Dirac(-type) equation for a rank-two bi-spinor field on Minkowski (configuration) spacetime furnishes a Lorentz-covariant quantum-mechanical wave equation in position-space representation for a single free photon. This…

Mathematical Physics · Physics 2019-01-04 Michael K. -H. Kiessling , A. Shadi Tahvildar-Zadeh

The phenomenon of turbulent photon filamentation occurs in lasers and other active optical media at high Fresnel numbers. A description of this phenomenon is suggested. The solutions to evolution equations are presented in the form of a…

Condensed Matter · Physics 2009-11-07 V. I. Yukalov

We obtain an expression for the matrix element for a twisted (Laguerre-Gaussian profile) photon scattering from a hydrogen atom. We consider photons incoming with an orbital angular momentum (OAM) of $\ell \hbar$, carried by a factor of…

Quantum Physics · Physics 2013-02-06 Basil S. Davis , L. Kaplan , J. H. McGuire

We advance a phase-space theory of partially coherent accelerating, non-diffracting beams employing the Wigner distribution function (WDF). We derive a general expression for the WDF of any accelerating, diffraction-free beam of arbitrary…

Optics · Physics 2026-01-19 Sergey A. Ponomarenko , Morteza Hajati

The transfer of orbital angular momentum from an optical vortex to an atomic Bose-Einstein condensate changes the vorticity of the condensate. The spatial mismatch between initial and final center-of-mass wavefunctions of the condensate…

Atomic Physics · Physics 2015-10-28 Pradip Kumar Mondal , Bimalendu Deb , Sonjoy Majumder

The method of photon distribution function (PDF) is used to study fluctuations of light beams propagating through a turbulent atmosphere. Our analysis concerns the regime of saturated fluctuations. The focus is on the phenomena of beam…

Quantum Physics · Physics 2022-06-07 V. L. Andriichuk , O. O. Chumak , L. A. Derzhypolska , I. V. Matsniev

General relativistic quantum dynamics of twisted (vortex) Dirac particles is constructed. The Hamiltonian and equations of motion in the Foldy-Wouthuysen representation are derived for a twisted relativistic electron in arbitrary electric…

Classical Physics · Physics 2019-02-20 Alexander J. Silenko , Pengming Zhang , Liping Zou

Propagation of coherent light in a Kerr nonlinear medium can be mapped onto a flow of an equivalent fluid. Here we use this mapping to model the conditions in the vicinity of a rotating black hole as a Laguerre-Gauss vortex beam. We…

When a single two-level atom interacts with a pair of Laguerre-Gaussian beams with opposite helicity, this leads to an efficient exchange of angular momentum between the light field and the atom. When the radial motion is trapped by an…

Quantum Physics · Physics 2013-05-29 H. L. Haroutyunyan , G. Nienhuis

We analyze the transverse structure of the Gouy phase shift in light beams carrying orbital angular momentum and show that the Gouy radius $r_G$ characterizing the transverse structure grows as $\sqrt{2p+|\ell|+1}$ with the nodal number $p$…

Optics · Physics 2013-07-10 Basil L. Davis , L. Kaplan

Attempts to explain the refraction of light in dispersive media in terms of a photon or "corpuscular" model have heretofore been unable to account for the observed decrease in the speed of light as it passes from air into a region of higher…

General Physics · Physics 2007-05-23 Robert J. Buenker , Pedro L. Muino

Based on the recently proposed concept of effective gauge potential and magnetic field for photons, we numerically demonstrate a photonic de Haas-van Alphen effect. We show that in a dynamically modulated photonic resonator lattice…

Optics · Physics 2013-11-13 Kejie Fang , Shanhui Fan
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