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Vortices are screw phase dislocations associated with helicoidal wave-fronts. In nonlinear optics, vortices arise as singular solutions to the phase-intensity equations of geometric optics. They exist for a general class of nonlinear…

Optics · Physics 2012-10-01 Antonio Moro

We develop a coarse-grained description of the point-vortex model, finding that a large number of planar vortices and antivortices behave as an inviscid non-Eulerian fluid at large scales. The emergent binary vortex fluid is subject to…

Quantum Gases · Physics 2017-11-01 Xiaoquan Yu , Ashton S. Bradley

In this paper, we study the existence of vortices for two kinds of nonlinear Schr\"{o}dinger equations arising from the Bose-Einstein condensates and geometric optics arguments, respectively. For the Gross-Pitaevskii equation from…

Analysis of PDEs · Mathematics 2022-04-26 Shouxin Chen , Guange Su

An optical vortex, produced at one point in an optical beam, would propagate through an optical system to another point where the vortex can be used for some purpose. However, asymmetrical optical elements in such a system can cause…

Optics · Physics 2012-01-09 Filippus S. Roux

A vortex molecule is predicted in rotating two-component Bose-Einstein condensates whose internal hyperfine states are coupled coherently by an external field. A vortex in one component and that in the other are connected by a domain wall…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Kenichi Kasamatsu , Makoto Tsubota , Masahito Ueda

We study linear and nonlinear wave scattering by an optical vortex in a self-defocusing nonlinear Kerr medium. In the linear case, we find a splitting of a plane-wave front at the vortex proportional to its circulation, similar to what…

Pattern Formation and Solitons · Physics 2009-11-07 Dragomir Neshev , Alexander Nepomnyashchy , Yuri S. Kivshar

Light possesses both spin and orbital angular momentum, which can spontaneously couple in spatially asymmetric optical fields. This phenomenon is referred to as optical spin-orbit coupling. This coupling is pivotal in modern optics due to…

We study the azimuthal modulational instability of vortices with different topological charges, in the focusing two-dimensional nonlinear Schr{\"o}dinger (NLS) equation. The method of studying the stability relies on freezing the radial…

Pattern Formation and Solitons · Physics 2012-05-11 R. M. Caplan , Q. E. Hoq , R. Carretero-González , P. G. Kevrekidis

Spin angular momentum, an elementary dynamical property of classical electromagnetic fields, plays an important role in spin-orbit and light-matter interactions, especially in near-field optics. The research on optical spins has led to the…

Optics · Physics 2023-02-15 Peng Shi , Heng Li , Luping Du , Xiaocong Yuan

It has recently been established that a linearly-polarized optical vortex possesses spin angular momentum density in the direction of propagation (longitudinal spin) under tight-focusing. The helicity of light has long been associated with…

Optics · Physics 2024-12-02 Kayn A. Forbes

Optical vortices are singularity lines where the light field intensity vanishes and its phase is undefined. These threads of darkness are adorned by Gauss's law as lines of pure longitudinal polarization where the polarization plane tilts…

Optics · Physics 2026-04-17 Nilo Mata-Cervera , Miguel A. Porras , Yijie Shen

We report the results of studies of torsion effect on the optical birefringence in LiNbO3 crystals. We have found that twisting of those crystals causes a birefringence distribution revealing non-trivial peculiarities. In particular, it has…

Optics · Physics 2015-05-27 Ihor Skab , Yurij Vasylkiv , Viktoriya Savaryn , Rostyslav Vlokh

Theories, simulations and experiments on vortex dynamics in quasi-two-dimensional magnetic materials are reviewed. These materials can be modelled by the classical two-dimensional anisotropic Heisenberg model with XY (easy-plane) symmetry.…

Condensed Matter · Physics 2007-05-23 F. G. Mertens , A. R. Bishop

We investigate the scattering of light by a nonlinear, anisotropic slab under conical incidence and arbitrary polarization, within the framework of Maxwell's equations, where the nonlinearities are described by nonlinear susceptibility…

Optics · Physics 2025-12-22 Jérémy Itier , Gilles Renversez , Frédéric Zolla

The nonlinear stage of modulational instability in optical fibers induced by a wide and easily accessible class of localized perturbations is studied using the nonlinear Schrodinger equation. It is showed that the development of associated…

Pattern Formation and Solitons · Physics 2018-11-14 Matteo Conforti , Sitai Li , Gino Biondini , Stefano Trillo

The problem of magnetic vortex dynamics in an anisotropic spin liquid model is considered. For incompressible flow the model admits reduction to saturating Bogomolny inequality analytic projections of spin variables, subject the linear…

Exactly Solvable and Integrable Systems · Physics 2007-05-23 Zeynep Nilhan Gurkan , Oktay Pashaev

We numerically investigate azimuthal modulation instability in an optical fiber supporting orbital angular momentum modes only, i.e. a vortex fiber, by means of the scalar multimode unidirectional pulse propagation equation. We demonstrate…

Optics · Physics 2024-03-12 Bertrand Kibler , Pierre Béjot

In a benchmark dynamical-lattice model in three dimensions, the discrete nonlinear Schr{\"{o}}dinger equation, we find discrete vortex solitons with various values of the topological charge $S$. Stability regions for the vortices with…

Other Condensed Matter · Physics 2016-08-16 P. G. Kevrekidis , B. A. Malomed , D. J. Frantzeskakis , R. Carretero-González

We report the first demonstration of a direct interaction between the extraordinary transverse spin angular momentum in evanescent waves and the intrinsic orbital angular momentum in optical vortex beams. By tapping the evanescent wave of…

Optics · Physics 2018-05-09 Zengkai Shao , Jiangbo Zhu , Yujie Chen , Yanfeng Zhang , Siyuan Yu

Optically-induced mechanical torque leading to the rotation of small objects requires the presence of absorption or breaking cylindrical symmetry of a scatterer. A spherical non-absorbing particle cannot rotate due to the conservation of…