Propagation properties of chirped Airy hollow Gaussian wave packets in a harmonic potential

Based on the analytical expression obtained by solving the (3+1) D Schrödinger-like equation, the spatiotemporal propagation properties of the chirped Airy hollow Gaussian (CAiHG) wave packets in harmonic potential are described and discussed in detail. Results show that the folds on the isosurfaces of the CAiHG wave packets deepen with the temporal chirp parameter β increasing. The wave rings of the CAiHG wave packets can be eliminated as the distribution factor increases, which lead to the stretch of the intensity distribution along the T axis. Moreover, in HGB-like condition, with the increase of the potential width parameter, the Poynting vector and the angular momentum increase and distribute more evenly while their distributions gradually become hollow as the propagation distance increases. Besides, the quantity of the main peaks of the gradient force is exactly proportional to the potential width parameter. As the beam orders increase, the secondary peaks gradually increase while the main peaks are opposite. When β≤0, the gradient force rapidly decreases while the gradient force decreases first and then increases when β>0.