Propagation properties of chirped Airy hollow Gaussian wave packets

Abstract

Abstract Based on the analytic expression of the chirped Airy hollow Gaussian (CAiHG) wave packets derived from the ( 3 + 1 )-dimensional ( ( 3 + 1 ) D) Schrodinger equation, their propagation properties are investigated in detail for the first time. The results show that a focusing of the chirped Airy Gaussian pulses is found, which leads to the same focusing of the propagation trajectory and the maximum scattering force. The distribution factor α can modulate the convergence of the side wave rings at Z = 0 . During the propagation process, with the increase of the β , when the β is negative, the side wave rings rise along the main wave axis but their moving is opposite when the β is positive. When the beam order n = 1 , the intensity, the angular momentum and the gradient force gradually tend to the center but they move radially when n = 2 . The direction of the peripheral gradient force points to the center but the direction is opposite in the center. The beam orders only affect the magnitude of the normalized maximum scattering force but have little effects on their distribution.