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Exact and Paraxial Broadband Airy Wave Packets in Free Space and a Temporally Dispersive Medium
Version 1
: Received: 20 November 2023 / Approved: 28 November 2023 / Online: 28 November 2023 (07:31:50 CET)
A peer-reviewed article of this Preprint also exists.
Besieris, I.M.; Saari, P. Exact and Paraxial Broadband Airy Wave Packets in Free Space and a Temporally Dispersive Medium. Photonics 2024, 11, 94. Besieris, I.M.; Saari, P. Exact and Paraxial Broadband Airy Wave Packets in Free Space and a Temporally Dispersive Medium. Photonics 2024, 11, 94.
Abstract
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 affirmatively by Saari, Valdmann, Piksarv, Valta-Lukner and Saari, and Kaganovsky and Heyman within the framework of the paraxial geometry. The time-diffraction technique introduced by Porras recently has been motivated by Besieris and Shaarawi in terms of the Lorentz invariance of the equation governing the narrow angular spectrum and narrowband temporal spectrum paraxial approximation and has been used to derive finite-energy spatiotemporally confined subluminal, luminal, and superluminal Airy wave packets. The goal in this article is to provide exact finite-energy broadband spatiotemporally localized Airy solutions (a) to the scalar wave equation in free space; (b) in a dielectric medium moving at its phase velocity; (c) in a lossless second order temporally dispersive medium.
Keywords
airy beams; nondiffracting pulses; localized waves; space-time wavepackets
Subject
Physical Sciences, Optics and Photonics
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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