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The Airy transform and associated polynomials [PDF]

open access: yesOpen Physics, 2011
Abstract The Airy transform is an ideally suited tool to treat problems in classical and quantum optics. Even though the relevant mathematical aspects have been thoroughly investigated, the possibilities it offers are wide and some features, such as the link with special functions and polynomials, still contain unexplored aspects.
Babusci Danilo   +2 more
exaly   +3 more sources

Experimental investigation in Airy transform of Gaussian beams with optical vortex

open access: yesResults in Physics, 2021
The Airy transform was first introduced for a Gaussian beam, and the output beam is an Airy beam. When the Gaussian beam is extended to the Gaussian beam with optical vortex, what kind of output beam will be achieved by executing the Airy transformation.
Yi-Qing Xu   +5 more
exaly   +3 more sources

Airy Transform of the New Power-Exponent-Phase Vortex Beam

open access: yesPhotonics, 2023
A new power-exponent-phase vortex beam with nonlinear phase winding has shown flexible control freedom compared with conventional vortex beams. In order to further enrich the modulation freedom and expand the ability of self-healing to meet current ...
Xingyuan Lu   +2 more
exaly   +3 more sources

Airy transformation of Lorentz-Gauss beams

open access: yesResults in Physics, 2020
By using the first three terms of expansion of the Lorentz function, the approximate description of an incident Lorentz-Gauss beam is analytically obtained. Moreover, this approximation is proved to be effective.
Xia Li   +3 more
doaj   +2 more sources

Transformation of a vortex cosine-hyperbolic-Gaussian beam by an Airy transform optical system

open access: yesOptical and Quantum Electronics, 2023
Abstract The present paper investigates the Airy transformation of a vortex cosine-hyperbolic-Gaussian beam (vChGB). The analytical expression for this beam passing through an Airy Transform Optical System is derived in detail based on the Huygens-Fresnel integral.
Abdelmajid Belafhal   +2 more
exaly   +2 more sources

Nonlinear phase gates as Airy transforms of the Wigner function

open access: yesnpj Quantum Information
Low-order nonlinear phase gates allow the construction of versatile higher-order nonlinearities for bosonic systems and grant access to continuous variable quantum simulations of many unexplored aspects of nonlinear quantum dynamics.
Darren W. Moore, Radim Filip
doaj   +3 more sources

Anomalous Propagation Characteristics of Airy Beam in Nonlinear Kerr Media

open access: yesCrystals, 2021
The propagation characteristics of a single Airy beam in nonlinear Kerr media were numerically investigated by utilizing the split-step Fourier transform method.
Li Shao, Yun-Long Wu, Qing Ye
doaj   +1 more source

Generation and characteristics of an Airy vortex beam from the anomalous vortex beam

open access: yesResults in Physics, 2022
Hybrid beams have evoked a long-running research upsurge due to its unique properties and extensive application. In this paper, we propose a novel method to generate a kind of hybrid Airy vortex beam (AiVB) with orbital angular momentum (OAM) by imposing
Qiang Zhang, Zhirong Liu, Xun Wang
doaj   +1 more source

New iterative technique for computing Fourier transforms. [PDF]

open access: yesمجلة جامعة الانبار للعلوم الصرفة, 2023
The Fourier transformations have stimulated many amounts of articles in recent years. they arise in the fields of engineering, control systems, and technology like analyzing signals in electronic circuits, radio circuits, cell phones, image processing ...
Ahmad Issa, Murat Düz
doaj   +1 more source

Changing the trajectory of Airy beam sets with spatial carriers

open access: yesКомпьютерная оптика, 2022
In this paper, we study a change in the propagation trajectory of a set of autofocusing laser beams using a fractional Fourier transform. Clusters of displaced bounded Airy-Gaussian beams supplemented by a phase function that deflects the beam similarly ...
A.O. Frolov, А.V. Ustinov, S.N. Khonina
doaj   +1 more source

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