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Related papers: Exploring the dynamics of finite-energy Airy beams…

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In this paper, we have developed an analytic method for describing Airy-Type beams truncated by finite apertures. This new approach is based on suitable superposition of exponentially decaying Airy beams. Regarding both theoretical and…

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

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…

Quantum Physics · Physics 2022-11-17 R. Martínez-Herrero , A. S. Sanz

In the present paper the analytical aspects related to the maximum invariance depth of propagation finite energy Airy-type beams are investigated, considering not only the usual exponentially dumped Airy beams but also the truncated ones.…

Optics · Physics 2013-08-06 K. Z. Nóbrega , C. A. Dartora , M. Zamboni-Rached

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

The propagation characteristics of Airy beams is investigated and fully described under the traveling waves approach analogous to that used for non-diffracting Bessel beams. This is possible when noticing that Airy functions are in fact…

Optics · Physics 2015-06-18 J Rogel-Salazar , H A Jiménez-Romero , S Chávez-Cerda

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…

Signal Processing · Electrical Eng. & Systems 2025-08-20 Donatella Darsena , Francesco Verde , Marco Di Renzo , Vincenzo Galdi

In this paper, we describe analytically the propagation of Airy-type pulses truncated by a finite-time aperture when second and third order dispersion effects are considered. The mathematical method presented here, based on the…

An approximation is elaborated for the paraxial propagation of diffracted beams, with both one- and two-dimensional cross sections, which are released from apertures with sharp boundaries. The approximation applies to any beam under the…

Optics · Physics 2016-06-29 Eitam Luz , Er'el Granot , Boris A. Malomed

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…

Optics · Physics 2015-06-18 W. Nelson , J. P. Palastro , C. C. Davis , P. Sprangle

The fundamental insight into Brownian motion by Einstein is that all substances exhibit continual fluctuations due to thermal agitation balancing with the frictional resistance. However, even at thermal equilibrium, biological activity can…

Soft Condensed Matter · Physics 2014-02-19 Soya Shinkai , Yuichi Togashi

A high speed free-space optical communication system capable of self-bending signal transmission around line-of-sight obstacles is proposed and demonstrated. Airy beams are generated and controlled to achieve different propagating…

Applied Physics · Physics 2018-04-04 Guoxuan Zhu , Yuanhui Wen , Xiong Wu , Yujie Chen , Jie Liu , Siyuan Yu

In general, there is an inverse relation between the degree of localization of a wavefunction of a certain class and its transform representation dictated by the scaling property of the Fourier transform. We report that in the case of…

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…

Optics · Physics 2021-09-01 Morteza Hajati , Vincent Sieben , Sergey A. Ponomarenko

The standard method to generate dynamical models with a finite extent is to apply a truncation in binding energy to the distribution function. This approach has the disadvantages that one cannot choose the density to start with, that the…

Astrophysics of Galaxies · Physics 2022-03-30 Maarten Baes

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…

Optics · Physics 2015-06-22 R. Driben , V. V. Konotop , T. Meier

We experimentally generate an Airy beam with polarization structure while keeping its original amplitude and phase profile intact. This class of Airy beam preserves the acceleration properties. By monitoring their initial polarization…

Optics · Physics 2015-12-22 Hao Chen , Guoqiang Li

The distribution function of the free energy fluctuations in one-dimensional directed polymers with $\delta$-correlated random potential is studied by mapping the replicated problem to the $N$-particle quantum boson system with attractive…

Disordered Systems and Neural Networks · Physics 2015-05-18 Victor Dotsenko

Terahertz (THz) communication can offer terabit-per-second rates in future wireless systems, thanks to the ultra-wide bandwidths, but require large antenna arrays. As antenna apertures expand and we enter the near-field scenarios, the…

Signal Processing · Electrical Eng. & Systems 2026-03-17 Wenqi Zhao , Chong Han , Emil Björnson

We demonstrate the dual accelerating Airy-Talbot recurrence effect, i.e., the self-imaging of accelerating optical beams, by propagating a superposition of Airy beams with successively changing transverse displacements. The dual Airy-Talbot…

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