Spatiotemporal self-accelerating Airy–Hermite–Gaussian and Airy–helical–Hermite–Gaussian wave packets in strongly nonlocal nonlinear media

Abstract

The self-accelerating Airy–Hermite–Gaussian (AiHG) and Airy–helical–Hermite–Gaussian (AiHHG) wave packets in strongly nonlocal nonlinear media (SNNM) are obtained analytically and numerically. The complex amplitudes of the AiHG and AiHHG wave packets are obtained by multiplying the self-accelerating Airy functions, the Hermite Polynomials and Gaussian functions. Furthermore, the different 3D spatiotemporal profiles and the photoelasticity can be obtained by selecting different values of the mode number, the chirp factor, the initial velocity, and the degree of the nonlocality.