Abstract
The spatiotemporal vector Airy-Circular Airy Gaussian vortex wave packet is constructed by solving the (3 + 1)D Schrodinger equation in free space. The wave packet can simultaneously autofocus in space and time by setting the appropriate initial pulse velocityυand the initial position of the main lobeT0. This kind of wave packet has low intensity before focusing, but the intensity at focus is about 80 times of the initial plane intensity. Our results may have potential applications in particle manipulation, laser processing, and other fields. Furthermore, the influence of the third-order dispersion coefficient on the evolution trajectory, the focus position, and the main peak intensity at the focus of the focusing pulse vector field is analyzed. The results show that the change of the initial velocity, the initial position, and the third-order dispersion coefficient can accurately control the evolution trajectory and the focus position, while the main peak intensity at the focus can only be controlled by adjusting the third-order dispersion coefficient. This means that the pulse vector light field can be manipulated precisely for precise processing by adjusting the third-order dispersion effect.
Highlights
Spatiotemporal wave packet theory [1] and ultrashort laser pulses [2,3,4,5,6,7] have received considerable attention by the researchers in the field of laser technology for the past decades
We study the spatiotemporal autofocusing properties of the vector-Airy-circular Airy Gaussian vortex (VAi) and the vector-symmetry Airy-circular Airy Gaussian vortex (VSAi) wave packet in free space
It can be seen that the evolution trajectory of Airy pulse can be controlled by changing the initial velocity, and the initial velocity of Airy pulse has no effect on the intensity distribution during the propagation
Summary
Spatiotemporal wave packet theory [1] and ultrashort laser pulses [2,3,4,5,6,7] have received considerable attention by the researchers in the field of laser technology for the past decades. The sudden autofocus ability of a circular Airy beams in a linear region has been theorized and experimentally demonstrated [10,11,12]. This characteristic can be used to improve the performance of optical tweezers. Three-dimensional finite energy self-accelerating Airy parabolic light projector [18] and the Airy-Laguerre-Gaussian wave packet [19]. Chong et al have achieved a three-dimensional Airy-Bessel wave packet experimentally by combining a temporal Airy pulse with a spatial Bessel beam [21]. Chong et al proposed a universal linear spatiotemporal light wave packet called Airy-Bessel light bullet, which was first proposed as a vector light field [21]. Since the radial symmetry of the VAi and VSAi wave packet, the Schrodinger equation in cylindrical coordinates is more suitable as following [19, 24]
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