Spatiotemporal chirped airyprime complex-variable Gaussian wave packets in a harmonic potential

Based on the analytical expressions derived by solving the Schrödinger-like equation, we elaborate and discuss the spatiotemporal propagation characteristics of chirped spatiotemporal Airyprime-cosh-Gaussian (ACG) wave packets in a harmonic potential. The control variable method is adopted to regulate the distribution factor, cross-phase factor, propagation distance, attenuation factor, and chirp parameter, which enables the wave packets to exhibit distinctive propagation dynamics. It is found that spatiotemporal ACG wave packets present diverse transverse profiles, including triple-peak, dipole, and elliptical distributions. We further investigate the Poynting vector, angular momentum of the wave packets, as well as the radiation forces exerted on particles in Rayleigh media. Finally, this paper proposes a scheme for constructing ACG spatiotemporal wave packets and presents its corresponding experimental generation setup. These results reveal the propagation dynamics of ACG wave packets and demonstrate their promising application potential in optical particle trapping.