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We investigate the inherent influence of light polarization on the intensity distribution in anisotropic media undergoing a local inhomogeneous rotation of the principal axes. Whereas in general such configuration implies a complicated…

Optics · Physics 2017-03-07 Alessandro Alberucci , Chandroth Pannian Jisha

We consider the propagation of a tilted high order paraxial vortex-beam through a homogeneous anisotropic medium of a uniaxial crystal. We found that the initially circularly polarized beam bearing the l-order optical vortex splits into…

Optics · Physics 2013-05-29 T. A. Fadeyeva , A. F. Rubass , A. V. Volyar

The purpose of this paper is to derive the photon spin and to deduce its properties from a pair of quantum equations for the photon. To this end, Darwin's equations are reinterpreted so as to meet the need of the quantum mechanics of the…

Quantum Physics · Physics 2020-10-02 Chun-Fang Li

The spinning vortex is a stationary generalization of the Nielsen-Olesen vortex involving a linear time dependence of the Goldstone boson. Here we show that this vortex can be embedded in models with $SU(2)_{global}\times U(1)_{local}$…

High Energy Physics - Phenomenology · Physics 2009-10-28 Leandros Perivolaropoulos

Chirality is inherent to a broad range of systems, including in solid-state and wave physics. The precession (chiral motion) of electron spins in magnetic materials, forming spin waves, has various properties and many applications in…

We revisit the topic of the existence and azimuthal modulational stability of solitary vortices (alias vortex solitons) in the two-dimensional (2D) cubic-quintic nonlinear Schr{\"o}dinger equation. We develop a semi-analytical approach,…

Pattern Formation and Solitons · Physics 2012-05-11 R. M. Caplan , R. Carretero-Gonzalez , P. G. Kevrekidis , B. A. Malomed

There is recurrent interest in the orbital angular momentum (OAM) conveyed by optical vortices, which are structured beams with a helically twisted wavefront. Particular significance is attached to the issue of how, in its interactions with…

Optics · Physics 2019-02-27 Kayn A. Forbes , David L. Andrews

Vector optical vortices exhibit complex polarisation patterns due to the interplay between spin and orbital angular momenta. Here we demonstrate, both analytically and with simulations, that certain polarisation features of optical vortex…

We analytically study the dynamics of a solitonic vortex (SV) in a superfluid confined in a non-axisymmetric harmonic trap. The study provides a framework for analyzing the role of the trap anisotropy in the oscillation of SVs observed in…

Quantum Gases · Physics 2023-04-10 J. M. Gomez Llorente , J. Plata

We determine the functional behavior near the discrete rotational symmetry axis of discrete vortices of the nonlinear Schr\"odinger equation. We show that these solutions present a central phase singularity whose charge is restricted by…

Pattern Formation and Solitons · Physics 2013-05-29 Miguel-Ángel García-March , Albert Ferrando , Mario Zacarés , Sarira Sahu , Daniel E. Ceballos-Herrera

Spatially anisotropic solitary vortices (AVSs), supported by anisotropic dipole-dipole interactions, were recently predicted in spin-orbit-coupled binary Bose-Einstein condensates (BECs), in the form of two-dimensional semi-vortices…

The analytical nonautonomous rogons are reported for the inhomogeneous nonlinear Schr\"odinger equation with variable coefficients in terms of rational-like functions by using the similarity transformation and direct ansatz. These obtained…

Exactly Solvable and Integrable Systems · Physics 2015-05-20 Zhenya Yan

Quantized vortices in a complex wave field described by a defocusing nonlinear Schr\"odinger equation with a space-varying dispersion coefficient are studied theoretically and compared to vortices in the Gross-Pitaevskii model with external…

Pattern Formation and Solitons · Physics 2019-07-11 Victor P. Ruban

We investigate two kinds of coreless vortices with axisymmetric and nonaxisymmetric configurations in rotating two-component Bose-Einstein condensates. Starting from the Gross-Pitaevskii energy functional in a rotating frame, we derive a…

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

A stochastic theory is presented for a quantum vortex that is expected to occur in superfluids coated on two dimensional sphere $ {\rm S}^2 $. The starting point is the canonical equation of motion (the Kirchhoff equation) for a point…

Statistical Mechanics · Physics 2015-05-30 Hiroshi Kuratsuji

We demonstrate that families of vortex solitons are possible in a bi-dispersive three-dimensional nonlinear Schrodinger equation. These solutions can be considered as extensions of two-dimensional dark vortex solitons which, along the third…

Pattern Formation and Solitons · Physics 2009-11-13 Nikolaos K. Efremidis , Kyriakos Hizanidis , Boris A. Malomed , Paolo Di Trapani

For over three decades, the study of optical vortex beams carrying orbital angular momentum (OAM) has been at the forefront of optics, driven by fundamental questions about optical momentum as well as diverse applications in quantum…

Optics · Physics 2025-08-15 Kayn A Forbes

Spatially inhomogeneous fields of electromagnetic guided modes exhibit a complex of extraordinary dynamical properties such as the polarization-dependent transverse momentum, helicity-independent transverse spin, spin-associated…

Optics · Physics 2021-12-30 Aleksandr Bekshaev

Vortices and axisymmetric vortex rings are considered in the framework of the subcritical nonlinear Schrodinger equations. The higher order nonlinearity present in such systems models many-body interactions in superfluid systems and allows…

Other Condensed Matter · Physics 2015-05-13 Natalia G. Berloff

We consider the incompressible three-dimensional Euler equations for a vortex ring with Kelvin waves undergoing radially expanding Lagrangian transport. To clarify the fundamental mechanisms underlying nonlinear scale-local deformations of…

Analysis of PDEs · Mathematics 2026-04-14 Tsuyoshi Yoneda
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