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Airy beams are known for displaying shape invariance and self-acceleration along the transverse direction while they propagate forwards. Although these properties could be associated with the beam coherence, it has been revealed that they…

量子物理 · 物理学 2022-11-17 R. Martínez-Herrero , A. S. Sanz

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…

光学 · 物理学 2025-05-23 A. S. Sanz , R. Martínez-Herrero

We present a class of diffraction-free partially coherent beams each member of which is comprised of a finite power, non-accelerating Airy bump residing on a statistically homogeneous, Gaussian-correlated background. We examine free-space…

光学 · 物理学 2021-09-01 Morteza Hajati , Vincent Sieben , Sergey A. Ponomarenko

We employed caustic theory to analyze the propagation dynamics of partially coherent self-accelerating beams such as self-healing of partially coherent Airy beams. Our findings revealed that as the spatial coherence decreases, the…

In next-generation wireless networks, the combination of electrically large radiating apertures and high-frequency transmission extends the radiating near-field region around the transmitter. In this region, unlike in the far field, the…

信号处理 · 电气工程与系统科学 2025-08-20 Donatella Darsena , Francesco Verde , Marco Di Renzo , Vincenzo Galdi

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)…

光学 · 物理学 2022-12-16 Pengfei Li , Yanzhu Wei , Boris A. Malomed , Dumitru Mihalache

We present the first experimental observation of modulation instability of partially spatially incoherent light beams in non-instantaneous nonlinear media. We show that even in such a nonlinear partially coherent system (of…

By numerically solving the nonlinear Schr\"odinger equation, we theoretically study the nonlinear propagation dynamics and self-healing properties of elliptical Airy beams (EABs) propagating in water under Kerr nonlinearity. Compared to…

光学 · 物理学 2025-02-28 Qinjun Jian , Jing Hu , Lihe Yan , Jinhai Si , Xun Hou

The dynamics of two component coupled Airy beams is investigated. In the linear propagation regime a complete analytic solution describes breather like propagation of the two components featuring non-diffracting self-accelerating Airy…

光学 · 物理学 2015-06-22 R. Driben , V. V. Konotop , T. Meier

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,…

光学 · 物理学 2022-11-09 A. S. Sanz

The interactions between copropagating ring-Airy beams in a (2+1)-dimensional Kerr medium are numerically investigated for the first time. It is shown that two overlapping ring-Airy beams in such a medium produce controllable regions of…

光学 · 物理学 2020-11-30 Charles W. Robson , Marco Ornigotti

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…

光学 · 物理学 2017-05-24 Zhiwei Shi , Jing Xue , Xing Zhu , Yang Li , Huagang Li

We investigate, through simulation, the modifications to Bessel and Airy beams during propagation through atmospheric turbulence. We find that atmospheric turbulence disrupts the quasi-non-diffracting nature of Bessel and Airy beams when…

光学 · 物理学 2015-06-18 W. Nelson , J. P. Palastro , C. C. Davis , P. Sprangle

It is shown that the properties of the modulational instability of partially coherent waves propagating in a nonlinear Kerr medium depend crucially on the profile of the incoherent field spectrum. Under certain conditions, the incoherence…

光学 · 物理学 2009-11-10 D. Anderson , L. Helczynski , M. Lisak , V. Semenov

Airy beams, celebrated for their self-acceleration, diffraction-free propagation, and self-healing properties, have garnered significant interest in optics and photonics, with applications spanning ultrafast optics, laser processing,…

光学 · 物理学 2025-06-09 Zhaofeng Huang , Xiaolin Su , Qian Cao , Andy Chong , Qiwen Zhan

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 numerically examine the spatial evolution of the structure of coherent and partially coherent laser beams, including the optical vortices, propagating in turbulent atmospheres. The influence of beam fragmentation and wandering relative…

光学 · 物理学 2015-05-19 G. P. Berman , V. N. Gorshkov , S. V. Torous

Controlling light propagation through complex media plays a significant role in a wide range of applications ranging from astronomical observations to microscopy. Although, several advances have been made based on adaptive optics, optical…

光学 · 物理学 2024-06-18 Anita Kumari , Vasu Dev , Vishwa Pal

It is known that a spatially partially coherent light field produces better imaging contrast compared to a spatially coherent field and that the contrast increases as the spatial coherence length of the field becomes smaller. The transverse…

We report a new form of compensating accelerating beam generated by amplitude modulation of the symmetric Airy beam (SAB) caustics with an exponential apodization mask. Our numerical study manifests that the compensating beam is with one…

光学 · 物理学 2016-05-17 Wei-Wei Liu , Yong-Lun Jiang , Pan-Pan Yu , Hao-wei Wang , Zi-qiang Wang , Yin-Mei Li
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