Xingyu Chen

Propagation properties of spatiotemporal chirped Airy Gaussian vortex wave packets in a quadratic index medium

A type of chirped Airy Gaussian vortex (CAiGV) localized wave packets in a quadratic index medium are studied by solving the paraxial differential equation. For the first time, the propagation properties of spatiotemporal CAiGV light bullets in the quadratic index medium are demonstrated. Some typical examples of the obtained solutions are based on the temporal and spatial chirp parameters, the initial velocity, the distribution factor, and the topological charge. The radiation force of the spatial CAiGV wave packet on a Rayleigh dielectric particle has the periodically reversion and recovery abilities due to the quadratic potential. What we report here can obtain different radiation force trajectory and may have potential application in optical tweezing and bio-medical field.

Focusing properties of circle Pearcey beams

We introduce a new class of (2+1) dimensional circle Pearcey beams (CPBs) with the abruptly autofocusing (AAF) characteristics. Compared with circular Airy beams, CPBs can increase the peak intensity contrast, shorten the focus distance and, especially, eliminate the oscillation after the focal point. Furthermore, we discuss the influence of the optical vortices (including on-axis, off-axis, and vortex pairs) on the light intensity distribution of the CPBs during propagating.

Spatiotemporal Airy Ince–Gaussian wave packets in strongly nonlocal nonlinear media

The self-accelerating Airy Ince–Gaussian (AiIG) and Airy helical Ince–Gaussian (AihIG) wave packets in strongly nonlocal nonlinear media (SNNM) are obtained by solving the strongly nonlocal nonlinear Schrödinger equation. For the first time, the propagation properties of three dimensional localized AiIG and AihIG breathers and solitons in the SNNM are demonstrated, these spatiotemporal wave packets maintain the self-accelerating and approximately non-dispersion properties in temporal dimension, periodically oscillating (breather state) or steady (soliton state) in spatial dimension. In particular, their numerical experiments of spatial intensity distribution, numerical simulations of spatiotemporal distribution, as well as the transverse energy flow and the angular momentum in SNNM are presented. Typical examples of the obtained solutions are based on the ratio between the input power and the critical power, the ellipticity and the strong nonlocality parameter. The comparisons of analytical solutions with numerical simulations and numerical experiments of the AiIG and AihIG optical solitons show that the numerical results agree well with the analytical solutions in the case of strong nonlocality.

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

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 bs. In particular, only when the shape of the pulses is set well with appropriate temporal distribution factor bt 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.

(3+1)-dimensional localized self-accelerating Airy elegant Ince–Gaussian wave packets and their radiation forces in free space

We construct analytically linear self-accelerating Airy elegant Ince–Gaussian wave packet solutions from (3+1)-dimensional potential-free Schrodinger equation. These wave packets have elliptical geometry and show different characteristics when the parameters (p,m) and ellipticity e are adjusted. We investigate these characteristics both analytically and numerically and give the 3-dimensional intensity and phase distribution of these wave packets. Lastly, we analyze the radiation forces on a Rayleigh dielectric particle. In addition, we also find an interesting phenomenon that if the energy distribution between every part of wave packets is uneven at the input plane, the energy will be transferred between every part in the process of transmission.