Finite-energy spatiotemporally localized Airy wavepackets

Besieris, Ioannis M.; Shaarawi, Amr M.

doi:10.1364/oe.27.000792

Cited by 4 publications

(1 citation statement)

References 39 publications

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“…As a special case, broadband subluminal and superluminal spatiotemporally localized Airy wave packets based only on the narrow angular spectrum paraxial approximation do not exist. The time-diffraction technique introduced by Porras [10,11] recently has been motivated by Besieris and Shaarawi [12] in terms of the Lorentz invariance of the equation governing the narrow angular spectrum and narrowband temporal paraxial approximation u(x, z, t) = exp(iω 0 τ)ϕ(x, z, t), with i ∂ ∂z…”

Section: Introductionmentioning

confidence: 99%

Exact and Paraxial Broadband Airy Wave Packets in Free Space and a Temporally Dispersive Medium

Besieris,

Saari

2024

Photonics

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A question of physical importance is whether finite-energy spatiotemporally localized (i.e., pulsed) generalizations of monochromatic accelerating Airy beams are feasible. For luminal solutions, this question has been answered within the framework of paraxial geometry. The time-diffraction technique that has been motivated by the Lorentz invariance of the equation governing the narrow angular spectrum and narrowband temporal spectrum paraxial approximation has been used to derive finite-energy spatiotemporally confined subluminal, luminal, and superluminal Airy wave packets. The goal in this article is to provide novel exact finite-energy broadband spatio-temporally localized Airy solutions (a) to the scalar wave equation in free space; (b) in a dielectric medium moving at its phase velocity; and (c) in a lossless second-order temporally dispersive medium. Such solutions can be useful in practical applications involving broadband (few-cycle) wave packets.

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Section: Introductionmentioning

confidence: 99%

Exact and Paraxial Broadband Airy Wave Packets in Free Space and a Temporally Dispersive Medium

Besieris,

Saari

2024

Photonics

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Fractional Angular Momenta, Gouy and Berry Phases in Relativistic Bateman-Hillion-Gaussian Beams of Electrons

2021

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Controllable Laguerre Gaussian wave packets along predesigned trajectories

Peng¹,

Ouyang²,

Xu³

et al. 2022

Opt. Express

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We introduce controllable Laguerre Gaussian wave packets (LGWPs) with self-accelerating and self-focusing properties along their predesigned parabolic trajectory via phase modulation. Numerically and experimentally recorded intensity patterns of controllable LGWPs with topological charges are obtained, and it is obvious that they agree well with the theoretical model. Furthermore, spatiotemporally controllable LGWPs can propagate stably along predesigned trajectories for many Rayleigh lengths. This paper not only provides a theoretical propagation model for these multi-dimensional controllable LGWPs, but also promotes further development of the basic research into self-bending and autofocusing structured light fields.

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Finite-energy spatiotemporally localized Airy wavepackets

Cited by 4 publications

References 39 publications

Exact and Paraxial Broadband Airy Wave Packets in Free Space and a Temporally Dispersive Medium

Exact and Paraxial Broadband Airy Wave Packets in Free Space and a Temporally Dispersive Medium

Fractional Angular Momenta, Gouy and Berry Phases in Relativistic Bateman-Hillion-Gaussian Beams of Electrons

Controllable Laguerre Gaussian wave packets along predesigned trajectories

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