We demonstrate the self-trapping of single- and double-charged optical vortices in waveguide lattices induced with a self-defocusing nonlinearity. Under appropriate conditions, a donut-shaped single-charged vortex evolves into a stable discrete gap vortex soliton, but a double-charged vortex turns into a self-trapped quadrupole-like structure. Spectrum measurement and numerical analysis suggest...

We report the observation of steady-state photorefractive vortex-screening solitons. As a singly charged circular vortex nested on a broad beam propagates through a biased strontium barium niobate crystal, it self-traps in both transverse dimensions despite the inherent anisotropy of the photorefractive nonlinearity. When the vortex beam is a doughnut-shaped narrow beam, it breaks up into two e...

The low temperature dynamics of a vortex in a trapped quasi-two-dimensional Bose-Einstein condensate are studied quantitatively. Precession of an off-centered vortex in a dimple trap, embedded in a weaker harmonic trap, leads to the emission of sound in a dipolar radiation pattern. Sound emission and reabsorption can be controlled by varying the depth of the dimple. In a shallow dimple, the pow...

Two-dimensional Lagrangian trajectories of the inertial particle in helium II are analyzed in the vicinity of the triple vortex structure (i.e. the superfluid vortex and the normal dipole-like vortex structure induced by the mutual friction). It is shown that the vortices in the normal fluid can deflect the particle which otherwise would have collided with the superfluid vortex and, provided th...

The statistical mechanics of nearly parallel vortex filaments confined in the unbounded plane by angular momentum, first studied by Lions and Majda (2000), is investigated using a mean-field approximation to interaction and a spherical constraint to develop an explicit formula for the mean square vortex position or length scale of the system, R, verified with Path Integral Monte Carlo simulatio...

We have studied the motion of a vortex-antivortex pair together with a single vortex in trapped Bose-Einstein condensate (BEC) by numerically solving the twodimensional Gross-Pitaevskii equation, and found that the path of the vortices depends on the initial separation distance and dissipation. This motion was periodic and it was found that sound waves appear due to the cyclical movement, whose...

The aim of this paper is twofold: first to review an important area of research in fluid dynamics: that of trapped vortices, and secondly, to highlight the opportunities/challenges of the trapped vortex concept when applied to ground vehicles. It is shown that trapped vortices are an effective technology for the reduction of drag on aerodynamic vehicles. There is, however, a formidable challeng...

The Atacama Large Millimeter Array (ALMA) has been returning images of transitional disks in which large asymmetries are seen in the distribution of mm-sized dust in the outer disk. The explanation in vogue borrows from the vortex literature by suggesting that these asymmetries are the result of dust trapping in giant vortices, excited via Rossby wave instability (RWI) at planetary gap edges. D...