Spatiotemporal sharply autofocused dual-Airy-ring Airy Gaussian vortex wave packets

Abstract

Here we investigate the propagation properties of spatiotemporal sharply autofocused single-Airy-ring Airy Gaussian vortex (AiRAiGV) and dual-Airy-ring Airy Gaussian vortex (dAiRAiGV) wave packets by solving the (3+1) D Schrödinger equation in free space. We can change the spatial part of the wave packets into Airy or Gaussian distribution by choosing the different spatial distribution factors b_s. In particular, only when the shape of the pulses is set well with appropriate temporal distribution factor b_t and initial velocity v in the temporal domain, dAiRAiGV wave packets can simultaneously autofocus in the spatial and temporal domains and the peak intensity is increased dozens of times at the focus more than that at the initial plane. Furthermore, properties of dAiRAiGV wave packets with a vortex in the center and off-axis vortex pairs are also discussed.