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

Files

TR Number

Date

2024-01-21

Journal Title

Journal ISSN

Volume Title

Publisher

MDPI

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 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.

Description

Keywords

Citation

Besieris, I.M.; Saari, P. Exact and Paraxial Broadband Airy Wave Packets in Free Space and a Temporally Dispersive Medium. Photonics 2024, 11, 94.