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Updated: Feb 19, 2026

Three-dimensional Particle Tracking Velocimetry for Turbulence Applications: Case of a Jet Flow
Published on: February 27, 2016
Three-dimensional localized Airy-Hermite-Gaussian and Airy-Helical-Hermite-Gaussian wave packets in free space
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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