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Helmholtz theorem states that, in ideal fluid, vortex lines move with the fluid. Another Helmholtz theorem adds that strength of a vortex tube is constant along the tube. The lines may be regarded as integral surfaces of a 1-dimensional…

Mathematical Physics · Physics 2018-01-16 Marian Fecko

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

Even when neglecting diffraction effects, the well-known equations of geometrical optics (GO) are not entirely accurate. Traditional GO treats wave rays as classical particles, which are completely described by their coordinates and…

Plasma Physics · Physics 2017-04-05 D. E. Ruiz , I. Y. Dodin

Stable vortex lattices are basic dynamical patterns which have been demonstrated in physical systems including superconductor physics, Bose-Einstein condensates, hydrodynamics and optics. Vortex-antivortex (VAV) ensembles can be produced,…

We show, both theoretically and experimentally, that the propagation of optical vortices in free space can be analysed by using the width ($w(z)$) of the host Gaussian beam and the inner and outer radii of the vortex beam at the source…

A single colloidal sphere circulating around a periodically modulated optical vortex trap can enter a dynamical state in which it intermittently alternates between freely running around the ring-like optical vortex and becoming trapped in…

Statistical Mechanics · Physics 2009-11-11 Sang-Hyuk Lee , David G. Grier

It is a fundamental fact of waves that they spread as they evolve freely, regardless of their nature. Previous research to overcome diffraction spreading has led to idealized waves that, in real settings, exhibit quasi-non-diffraction and…

Optical vortex beam of fractional order is generated by the diffraction of a Gaussian beam using computer generated hologram embedded with mixed screw-edge dislocation. Unfolding of the generated fractional vortex beam into…

Optics · Physics 2019-06-06 Satyajit Maji , Aswini K. Pattanayak , Maruthi M. Brundavanam

Complex vector modes represent a general state of light nonseparable in their spatial and polarization degrees of freedom, which have inspired a wide variety of novel applications and phenomena, such as their unexpected propagation…

Optics · Physics 2022-09-01 Xiao-bo Hu , Bo Zhao , Rui-pin Chen , Carmelo Rosales Guzman

We demonstrate theoretically and experimentally coherence-induced polarization changes in generic and higher-order vector vortex beams with polarization singularity. The prominent depolarization on decreasing transverse correlation-width in…

Optics · Physics 2020-07-22 Stuti Joshi , Saba N Khan , Manisha , P Senthilkumaran , Bhaskar Kanseri

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

Special features of the optical-vortex (OV) beams generated by thick holographic elements (HE) with embedded phase singularity are considered theoretically. The volume HE structure is based on the 3D pattern of interference between an OV…

Optics · Physics 2013-04-08 A. Ya. Bekshaev , S. V. Sviridova , A. Yu. Popov , A. V. Tyurin

We show how the phase profile of a distribution of topological charges (TC) of an optical vortex (OV) can be described by a potential analogous to the Coulomb's potential for a distribution of electric charges in two-dimensional…

Spatiotemporal optical vortex (STOV) is a unique optical vortex with phase singularity in the space-time domain and the photons in a STOV can carry transverse orbital angular momentum (OAM). The STOV shows many fantastic properties which…

Optics · Physics 2022-02-01 Shunlin Huang , Peng Wang , Xiong Shen , Jun Liu , Ruxin Li

The interaction of a small vortex ring with the free surface of a perfect fluid is considered. In the frame of the point ring approximation the asymptotic expression for the Fourier-components of radiated surface waves is obtained in the…

Fluid Dynamics · Physics 2009-11-06 V. P. Ruban

Polarization of light beams is one of the most important physical phenomena. But up till now it was only described in the paraxial approximation in which it is considered to be a single degree of freedom that is characterized by the local…

Optics · Physics 2020-03-18 Chun-Fang Li

Vortices are topological objects representing the circular motion of a fluid. With their additional degree of freedom, the 'vorticity', they have been widely investigated in many physical systems and different materials for fundamental…

We study non-equilibrium polariton superfluids in the optical parametric oscillator (OPO) regime using a two-component Gross-Pitaevskii equation with pumping and decay. We identify a regime above OPO threshold, where the system undergoes…

Mesoscale and Nanoscale Physics · Physics 2010-09-10 F. M. Marchetti , M. H. Szymanska , C. Tejedor , D. M. Whittaker

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

Vortex beams are stable solutions of Maxwell's equations that carry phase singularities and orbital angular momentum, unique properties that give rise to many applications in the basic sciences, optical communications, and quantum…