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Related papers: Airy-Gaussian vortex beams in the fractional nonli…

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We introduce axisymmetric Airy-Gaussian vortex beams in a model of an optical system based on the (2+1)-dimensional fractional Schr\"odinger equation, characterized by its L\'evy index (LI). By means of numerical methods, we explore…

Pattern Formation and Solitons · Physics 2020-12-02 Shangling He , Boris A. Malomed , Dumitru Mihalache , Xi Peng , Xing Yu , Yingji He , Dongmei Deng

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

We analyze the propagation dynamics of radially polarized symmetric Airy beams (R-SABs) in a (2+1)-dimensional optical system with fractional diffraction, modeled by the fractional Schr\"odinger equation (FSE) characterized by the L\'evy…

The propagation dynamics of two-dimensional (2D) ring-Airy beams is studied in the framework of the fractional Schr\"{o}dinger equation, which includes saturable or cubic self-focusing or defocusing nonlinearity and L\'{e}vy index ((LI)…

Optics · Physics 2022-12-16 Pengfei Li , Yanzhu Wei , Boris A. Malomed , Dumitru Mihalache

We report the first observation of robust self-trapping of vortex beams propagating in a uniform condensed medium featuring local saturable self-focusing nonlinearity. Optical vortices with topological charge m=1, that remain self-trapped…

We propose and demonstrate a novel vortex Airy beam which is a superposition of an Airy beam and its laterally sheared beam with a $\pi/2$ phase shift. This new-type of vortex Airy beam exhibits stable propagation dynamics, wherein its…

Optics · Physics 2023-06-14 Masato Suzuki , Keisaku Yamane , Takashige Omatsu , Ryuji Morita

Solitons in a strongly nonlocal nonlinear medium have attracted considerable attention in recent years due to their unique and distinctive characteristics from those observed in the local nonlinear medium. In this work, we investigate the…

Pattern Formation and Solitons · Physics 2026-03-18 K L Mamatha , S Stalin , K Nithyanandan

The ability to precisely focus optical beams is crucial for numerous applications, yet conventional Gaussian beams exhibit slow intensity transitions near the focal point, limiting their effectiveness in scenarios requiring sharp focusing.…

Optics · Physics 2025-05-07 Qian Cao , Nianjia Zhang , Chenghao Li , Andy Chong , Qiwen Zhan

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 investigate numerically that a finite Airy-Gaussian (AiG) beam varies its trajectory and shape in the defected photonic lattices. The propagation properties and beam self-bending are controlled with modulation depth and period of the…

Optics · Physics 2017-05-24 Zhiwei Shi , Jing Xue , Xing Zhu , Yang Li , Huagang Li

Accelerating Airy beams, known for their non-diffracting nature, self-healing properties, and curved propagation trajectories, are solutions to the paraxial wave equation. In this work, we theoretically and experimentally investigate…

Optics · Physics 2025-01-14 Justas Berškys , Paulius Šlevas , Sergej Orlov

Based on the Vlasov-Maxwell equations describing the self-consistent nonlinear beam dynamics and collective processes, the evolution of an intense sheet beam propagating through a periodic focusing field has been studied. In an earlier…

Accelerator Physics · Physics 2007-05-23 Stephan I. Tzenov , Ronald C. Davidson

We investigate the dynamic behavior of optical vortices, or phase singularities, in random wavefields and demonstrate the direct experimental observation of the anomalous diffusion of optical vortices. The observed subdiffusion of optical…

Optics · Physics 2023-03-15 Jiaxing Gong , Qi Li , Jing Wang

We study linear and nonlinear wave scattering by an optical vortex in a self-defocusing nonlinear Kerr medium. In the linear case, we find a splitting of a plane-wave front at the vortex proportional to its circulation, similar to what…

Pattern Formation and Solitons · Physics 2009-11-07 Dragomir Neshev , Alexander Nepomnyashchy , Yuri S. Kivshar

The self-accelerating beams such as the Airy beam show great potentials in many applications including optical manipulation, imaging and communication. However, their superior features during linear propagation could be easily corrupted by…

We observe stable propagation of spatially localized single- and double-charge optical vortices in a self-focusing nonlinear medium. The vortices are created by self-trapping of partially incoherent light carrying a phase dislocation, and…

Pattern Formation and Solitons · Physics 2009-11-10 Chien-Chung Jeng , Ming-Feng Shih , Kristian Motzek , Yuri Kivshar

Airy beams are solutions to the paraxial Helmholtz equation known for exhibiting shape invariance along their self-accelerated propagation in free space. These two properties are associated with the fact that they are not square integrable,…

Optics · Physics 2022-11-09 A. S. Sanz

We conducted a comprehensive study on the robust propagation of the same spot-size Gaussian beam (SSGB), same envelope Gaussian beam (SEGB), Circular Airy beam (CAB) and Circular Pearcey beam (CPB) in complex environments. Our findings…

Optics · Physics 2023-08-29 Nana Liu , Liu Tan , Kaijian Chen , Peilong Hong , Xiaoming Mo , Bingsuo Zou , Yi Liang

The propagation of Airy beams in free space is characterized by being non dispersive, which warrants the shape invariance of their intensity distribution, and self-accelerating along the transverse direction. These distinctive traits are…

Optics · Physics 2025-05-23 A. S. Sanz , R. Martínez-Herrero

In the field of structured light, the study of optical vortices and their vectorial extension--vectorial vortex beams--has garnered substantial interest due to their unique phase and polarisation properties, which make them appealing for…

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