Three-dimensional localized Airy-Hermite-Gaussian and Airy-Helical-Hermite-Gaussian wave packets in free space

Optics Express
Fu Deng, Dongmei Deng

Abstract

We have investigated the 3D Airy-Hermite-Gaussian and Airy-Helical-Hermite-Gaussian wave packets by solving the (3+1)D free-space Schrödinger equation in Cartesian coordinates analytically. The complex amplitudes of these wave packets are described by the product of the superposition of two Airy functions, the Hermite-Gaussian functions and the helical Hermite-Gaussian functions. The different 3D spatiotemporal profiles, the photoelastics and vortex rings can be obtained by selecting different values of the following parameters: the mode number, the decay factor and the propagation distance.

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Citations

Nov 20, 2016·Optics Express·Domenico BongiovanniRoberto Morandotti
Sep 6, 2018·Journal of the Optical Society of America. A, Optics, Image Science, and Vision·Guanwen ZhaoDongmei Deng

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