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We have experimentally investigated the evolution properties of multiramp fractional vortex beams (MFVBs) in free space, by using a fundamental Gaussian beam reflecting from a phase-modulated spatial light modulator. The issue about the…

Optics · Physics 2020-08-26 Jisen Wen , Binjie Gao , Guiyuan Zhu , Yibing Cheng , Shi-Yao Zhu , Li-Gang Wang

Fractional-order vector vortex beams are recently demonstrated to be new carriers of fractional-strength optical vortices. However, why can those new vortex beams formed by the combination of both unstable states propagate stably in free…

Optics · Physics 2022-08-04 Xiaoyu Weng , Yu Miao , Yang Li , Xiangmei Dong , Xiumin Gao , Songlin Zhuang

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

We have investigated the propagation dynamics of the circular Airy Gaussian vortex beams (CAGVBs) in a (2+1)-dimesional optical system discribed by fractional nonlinear Schr\"odinger equation (FNSE). By combining fractional diffraction with…

Pattern Formation and Solitons · Physics 2021-02-03 Shangling He , Kangzhu Zhou , Xi Peng , Jialong Tu , Yingji He , Dongmei Deng

Expressions describing the vortex beams, which are generated in a process of Fresnel diffraction of a Gaussian beam, incident out of waist on a fork-shaped gratings of arbitrary integer charge p, and vortex spots in the case of Fraunhofer…

Optics · Physics 2008-06-26 Ljiljana Janicijevic , Suzana Topuzoski

We have considered the paraxial vector erf-Gaussian beams with field distribution in the form of the error function that are shaped by the cone of plane waves with a fractional step of the azimuthal phase distribution modulated by the…

Optics · Physics 2015-06-03 T. Fadeyeva , C. Alexeyev , A. Rubass , A. Volyar

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…

Traditional fractional vortex beams are well-known "jump" beams: that is, their net topological charge jumps by unity as the effective topological charge of the source passes a half-integer value. Here, we propose an anomalous multi-ramp…

Optics · Physics 2021-02-03 Jun Zeng , Zhiheng Xu , Chengliang Zhao , Yangjian Cai , Greg Gbur

We study the properties of the Fraunhofer diffraction patterns produced by Gaussian beams crossing spiral phase plates. We show, both analytically and numerically, that off-axis displacements of the input beam produce asymmetric diffraction…

Optics · Physics 2010-07-21 G. Anzolin , F. Tamburini , A. Bianchini , C. Barbieri

We investigate topological aspects of sub-nm electron vortex beams upon elastic propagation through atomic scattering potentials. Two main aspects can be distinguished: (i) Significantly reduced delocalization compared to a similar…

Optics · Physics 2014-10-13 Axel Lubk , Laura Clark , Giulio Guzzinati , Jo Verbeeck

Flickering buoyant diffusion methane flames in weakly rotatory flows were computationally and theoretically investigated. The prominent computational finding is that the flicker frequency nonlinearly increases with the rotational intensity…

Fluid Dynamics · Physics 2023-12-06 Tao Yang , Peng Zhang

We consider the problem of singular beams in optics as a part of the general questions of interactions, shaping and transformations of vortex states with fractional topological charges in physics, in particular, in hydrodynamic and quantum…

Optics · Physics 2017-12-13 C. N. Alexeyev , Yu. A. Egorov , A. V. Volyar

A vector wave analysis of nondiffracting beams propagating along a birefringent chiral crystal for the case of tensor character both of the optical activity and linear birefringence is presented, fields of eigen modes satisfying vector wave…

Optics · Physics 2015-05-14 Tatyana A. Fadeyeva , Alexander V. Volyar

We address the propagation of vortex beams with the circular Airy-Gaussian shape in a (2+1)-dimensional optical waveguide modeled by the fractional nonlinear Schrodinger equation. Systematic analysis of autofocusing of the beams reveals a…

We study what might be called fractional vortices, vortex configurations with the minimum winding from the viewpoint of their topological stability, but which are characterized by various notable substructures in the transverse energy…

We theoretically and experimentally studied a novel class of vortex beams named open vortex beams (OVBs). Such beams are generated using Gaussian beams diffracted by partially blocked fork-shaped gratings (PB-FSGs).The analytical model of…

Optics · Physics 2021-10-27 Ruoyu Zeng , Qi Zhao , Yuanjie Yang

We examine the existence and stability of nonlinear discrete vortex solitons in a square lattice when the standard discrete Laplacian is replaced by a fractional version. This creates a new, effective site-energy term, and a coupling among…

Pattern Formation and Solitons · Physics 2021-05-19 Cristian Mejía-Cortés , Mario I. Molina

We develop fractional buffer layers (FBLs) to absorb propagating waves without reflection in bounded domains. Our formulation is based on variable-order spatial fractional derivatives. We select a proper variable-order function so that…

Numerical Analysis · Mathematics 2021-01-08 Min Cai , Ehsan Kharazmi , Changpin Li , George Em Karniadakis

Light beam with optical vortices can propagate in free space only with integer orbital angular momentum. Here, we invert this scientific consensus theoretically and experimentally by proposing light beams carrying natural non-integer…

We propose and demonstrate a single channel interferometer that can be used to study how vortex beams propagate. The interferometer consists of a multifunctional diffractive optical element (MDOE) synthesized by the spatial random…

Optics · Physics 2019-12-05 Sruthy J. Lathika , A. Vijayakumar , Shanti Bhattacharya
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