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Friedel's law states that the modulus of the Fourier transform of real functions is centrosymmetric, while the phase is antisymmetric. As a consequence of this, elastic scattering of plane wave photons or electrons within the first-order…

Optics · Physics 2016-10-05 Roeland Juchtmans , Giulio Guzzinati , Jo Verbeeck

In this work, we present a thorough analysis of the propagation of fiber modes carrying orbital angular momentum in twisted, tapered, ring-core optical fibers. In particular, by generalizing the usual coupled-mode approach to include the…

Optics · Physics 2025-10-01 Hassan Asgharzadeh B. , Regina Gumenyuk , Marco Ornigotti

It is standard practice to study the lensing of gravitational waves (GW) using the geometric optics regime. However, in many astrophysical configurations this regime breaks down as the wavelength becomes comparable to the Schwarzschild…

General Relativity and Quantum Cosmology · Physics 2020-02-26 Giulia Cusin , Macarena Lagos

Optical trapping is a well_established, decades old technology with applications in several fields of research. The most common scenario deals with particles that tend to be centered on the brightest part of the optical trap. Consequently,…

Vortex dynamics are intriguing and challenging across multiple physics fields. In optics, customized spatiotemporally structured optical fields, especially spatiotemporal optical vortices (STOV), offer the potential to tailor light via…

In this work, an explicit formula is deduced for identifying the orbital angular moment (OAM) of vectorial vortex with space-variant state of polarization (SOP). Different to scalar vortex, the OAM of vectorial vortex can be attributed to…

Optics · Physics 2018-10-30 Dengke Zhang , Xue Feng , Kaiyu Cui , Fang Liu , Yidong Huang

Counter-propagating co-axial Laguerre-Gaussian (LG) beams are considered, not in the familiar scenario where the focal planes coincide at $z=0$, but when they are separated by a finite axial distance $d$. The simplest case is where both…

Quantum Physics · Physics 2019-09-30 K. Koksala , V. E. Lembessisb , J. Yuanc , M. Babiker

We study reflection of TE Laguerre-Gaussian light beam by dielectric slab and show that the Goos-H\"{a}nchen and the Imbert-Federov shifts show resonant behavior following to the behavior of the reflection. Moreover the Imbert-Federov…

Optics · Physics 2018-02-15 Konstantin N. Pichugin , Almas F. Sadreev

Optical vortex beams are a type of topological light characterized by their inherent orbital angular momentum, leading to the propagation of a spiral-shaped wavefront. In this study, we focus on two-dimensional electrons with Rashba and…

Mesoscale and Nanoscale Physics · Physics 2025-12-04 Shunki Yamamoto , Masahiro Sato , Satoshi Fujimoto , Takeshi Mizushima

Studies of particle motion in vortical flows have mainly focused on point-like particles, either inertial or self-propelled. This approximation assumes that the velocity field that surrounds the particle is linear. We consider an…

Fluid Dynamics · Physics 2022-01-17 Sumithra Reddy Yerasi , Rama Govindarajan , Dario Vincenzi

We study the free-space propagation of products of displaced Laguerre--Gaussian beams. Each displaced factor admits an exact representation as a superposition of standard Laguerre--Gaussian beam modes through the optical analog of displaced…

Optics · Physics 2026-02-10 G. Mellado-Villaseñor , B. M. Rodríguez-Lara

We present a comprehensive theoretical framework that unifies chaotic wavefront dynamics with classical aberration theory through a Statistical Wavefront Reconstruction Framework (SWRF) formalism. By establishing rigorous connections…

Optics · Physics 2025-06-23 Netzer Moriya

The optical Talbot interferometer has been used to explore the topological charges of optical vortices. We recorded the self-imaging of a diffraction grating in the near-field regime with the optical vortex of several topological charges.…

We study the disordered, multi-spiral solutions of two-dimensional homogeneous oscillatory media for parameter values at which the single spiral/vortex solution is fully stable. In the framework of the complex Ginzburg-Landau (CGLE)…

Statistical Mechanics · Physics 2016-08-31 Carolina Brito , Igor S. Aranson , Hugues Chate

The single vortex problem in a strongly correlated bosonic system is investigated self-consistently within the mean-field theory of the Bose-Hubbard model. Near the superfluid-Mott transition, the vortex core has a tendency toward the…

Strongly Correlated Electrons · Physics 2007-05-23 Congjun Wu , Han-dong Chen , Jiang-ping Hu , Shou-Cheng Zhang

We consider a nonlinear model equation describing the motion of a vortex filament immersed in an incompressible and inviscid fluid. In the present problem setting, we also take into account the effect of external flow. We prove the unique…

Analysis of PDEs · Mathematics 2018-09-14 Masashi Aiki , Tatsuo Iguchi

Under the introduction of any interface in its trajectory, an optical beam experiences polarization-dependent deflections in the longitudinal and transverse directions with respect to the plane of incidence. The physics of such optical beam…

Vortex light, characterized by an intrinsic orbital angular momentum aligned with its propagation direction, is described through vortex electromagnetic waves. Similar to the gravitational spin Hall effect (SHE), vortex light is expected to…

General Relativity and Quantum Cosmology · Physics 2024-10-10 Wei-Si Qiu , Dan-Dan Lian , Peng-Ming Zhang

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

We consider the numerical investigation of surface bound orientational order using unit tangential vector fields by means of a gradient-flow equation of a weak surface Frank-Oseen energy. The energy is composed of intrinsic and extrinsic…

Numerical Analysis · Mathematics 2017-08-07 Michael Nestler , Ingo Nitschke , Simon Praetorius , Axel Voigt
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