Results 1 to 10 of about 28,814 (173)
The Airy transform and associated polynomials [PDF]
Open 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
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Experimental investigation in Airy transform of Gaussian beams with optical vortex
Results 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
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Airy Transform of the New Power-Exponent-Phase Vortex Beam
Photonics, 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 ...
Qidong Lin +6 more
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Airy transformation of Lorentz-Gauss beams
Results 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
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Non-commutative NLS-type hierarchies: Dressing & solutions [PDF]
Nuclear Physics B, 2019 We consider the generalized matrix non-linear Schrödinger (NLS) hierarchy. By employing the universal Darboux-dressing scheme we derive solutions for the hierarchy of integrable PDEs via solutions of the matrix Gelfand-Levitan-Marchenko equation, and we ...
Anastasia Doikou +2 more
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Airy-Gauss beams and their transformation by paraxial optical systems [PDF]
Optics Express, 2007 We introduce the generalized Airy-Gauss (AiG) beams and analyze their propagation through optical systems described by ABCD matrices with complex elements in general. The transverse mathematical structure of the AiG beams is form-invariant under paraxial
Bandres, Miguel A. +1 more
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Transformation of a vortex cosine-hyperbolic-Gaussian beam by an Airy transform optical system
Optical 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
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Nonlinear phase gates as Airy transforms of the Wigner function
npj Quantum InformationLow-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
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Anomalous Propagation Characteristics of Airy Beam in Nonlinear Kerr Media
Crystals, 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
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Generation and characteristics of an Airy vortex beam from the anomalous vortex beam
Results 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
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