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Optical vortex beams carry orbital angular momentum and thus exert torque on illuminated objects. A dielectric microtool - a microbarbell - is used in a two-laser optical tweezers to measure the torque of a focused optical vortex. The tool…

As the size of an optical vortex knot, imprinted in a coherent light beam, is decreased, nonparaxial effects alter the structure of the knotted optical singularity. For knot structures approaching the scale of wavelength, longitudinal…

Optics · Physics 2018-12-05 Danica Sugic , Mark R. Dennis

The shape of the most tight trefoil knot with N=200640 vertices found with an appropriately modified finite element method is analyzed. The high number of vertices makes plots of its curvature and torsion very precise what allows the…

Computational Physics · Physics 2015-06-18 Sylwester Przybyl , Piotr Pieranski

We have performed Coherent-vorticity Preserving Large-Eddy simulations of a trefoil knot-shaped vortex, inspired by the experiments of Kleckner and Irvine. The flow parameter space is extended in the present study, including variations of…

Fluid Dynamics · Physics 2017-12-07 Zongxin Yu , Jean-Baptiste Chapelier , Carlo Scalo

The curves of zero intensity of a complex optical field can form knots and links: optical vortex knots. Both theoretical constructions and experiments have so far been restricted to the very small families of torus knots or lemniscate…

Geometric Topology · Mathematics 2024-07-30 Benjamin Bode

We propose the braiding of optical vortices in a laser beam with more than 2{\pi} rotation by superposing Bessel modes with a plane wave. We experimentally demonstrate this by using a Bessel-Gaussian beam and a coaxial Gaussian, and we…

Various methods have been introduced to measure the orbital angular momentum (OAM) of light, from fork holograms to Dove prism interferometers, from tilted lenses to triangular apertures - each with their own benefits and limitations. Here…

Optical vortices (OVs) have emerged as a revolutionary concept in modern photonics, offering a unique method of manipulating light beyond conventional Gaussian beams. Despite their vast potential, phase topology stability remains…

We report the first measurement with no approximations of the full field of tightly focused vector beams (NA up to $1.23$) across areas of $\sim 9-49\,\lambda ^2$. Prior to focusing, the structured laser light has a linear or circular…

Optics · Physics 2021-07-20 Isael A. Herrera-Hernández , Pedro A. Quinto-Su

The evolution and self-reconnection of a perturbed trefoil vortex knot is simulated, then compared to recent experimental measurements (Scheeler et al. 2014a). Qualitative comparisons using three-dimensional vorticity isosurfaces and lines,…

Fluid Dynamics · Physics 2015-09-11 Robert M. Kerr

We presented a new method for measuring the squares of the amplitudes and phases of partial vortex-beams in a complex beam array in real time. The method is based on measuring the high-order intensity moments and analyzing the solutions of…

Optics · Physics 2018-12-05 A. Volyar , M. Bretsko , Ya. Akimova , Yu. Egorov

Optical knots and links, consisting of trajectories of phase or polarisation singularities, are intriguing nontrivial three-dimensional topologies. They are theoretically predicted and experimentally observed in paraxial and non-paraxial…

Optics · Physics 2023-04-03 Nazanin Dehghan , Alessio D'Errico , Tareq Jaouni , Ebrahim Karimi

Optical vortices generically arise when optical beams are combined. Recently, we reported how several laser beams containing optical vortices could be combined to form optical vortex loops, links and knots embedded in a light beam (Leach et…

Optics · Physics 2009-11-10 J. Leach , M. R. Dennis , J. Courtial , M. J. Padgett

Three-dimensional images of evolving numerical trefoil vortex knots are used to study the growth and decay of the enstrophy and helicity. Negative helicity density ($h<0$) plays several roles. First, sheets of oppositely-signed helicity…

Fluid Dynamics · Physics 2017-05-29 Robert M. Kerr

In recent years there has been an explosive development of interest in the measurement of forces at the microscopic level, such as within living cells, as well as the properties of fluids and suspensions on this scale, using optically…

Optics · Physics 2007-05-23 T. A. Nieminen , N. R. Heckenberg , H. Rubinsztein-Dunlop

We perform a compare-and-contrast investigation between the equilibrium shapes of physical and ideal trefoil knots, both in closed and open configurations. Ideal knots are purely geometric abstractions for the tightest configuration tied in…

Soft Condensed Matter · Physics 2021-02-05 Paul Johanns , Paul Grandgeorge , Changyeob Baek , Tomohiko G. Sano , John H. Maddocks , Pedro M. Reis

We have developed a scheme to measure the optical torque, exerted by a laser beam on a phase object, by measuring the orbital angular momentum of the transmitted beam. The experiment is a macroscopic simulation of a situation in optical…

In last 50 years, a significant progress was noticed in medicine, communications and entertainment. Such advanced development of these fields was directly related to ability of controlling light. Photonics is exactly about this ability. At…

Pattern Formation and Solitons · Physics 2021-05-12 Alfarabi Issakhanov

Physical knot theory, where knots are treated like physical objects, is important to many fields. One natural problem is to give a knot a uniform charge, and analyze the resulting electric field and electric potential. There have been some…

Complex Variables · Mathematics 2025-03-04 Henry Jiang

The subject of calculating the topological charge (TC) or vortex strength of optical vortices has generated divided opinions among scientists. This is due to the fact that proper analytical results are hard to support from the experimental…

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