标题： 圆对称交替光学涡旋晶格及其聚焦特性 显示英文标题

标题： Circularly-Symmetric Alternating Optical Vortex Lattices and their Focusing Characteristics

摘要： 生成具有任意阶拓扑电荷（TC）和优异光学特性的可控制光学涡旋（OV）晶格（OVLs）在各种应用中非常受欢迎。 在这里，我们报告了一种圆对称OVLs的实验实现，其具有交替的正负拓扑电荷，阶数为±n，被称为$n$阶圆对称交替OVL（CSAOVL）。 这种CSAOVL的聚焦场表现出非常有趣的图案，周期为4，对于不同的n值，其强度和相位分布可以通过径向和方位参数进行调节。 特别是，当n为4的倍数时，这些CSAOVL在聚焦场中形成的中心亮斑被观察到比高斯光斑小得多。 这些结果可以显著促进结构化OVLs的探索，并在粒子操控、成像以及光学晶格与显微镜粒子（如原子和微米或纳米粒子）之间复杂相互作用的实现方面提供潜在的应用。 显示英文摘要

摘要： Generating controllable optical vortex (OV) lattices (OVLs) with arbitrary-order topological charge (TC) and superior optical characteristics are highly desirable for various applications. Here, we report an experimental realization of circularly-symmetric OVLs with alternating positive and negative TCs of order +/-n, referred to the $n$th-order circularly-symmetric alternating OVL (CSAOVL). The focusing fields of such CSAOVLs exhibit the very interesting patterns with a period of 4 for different n values, and their intensity and phase distributions can be regulated using the radial and azimuthal parameters. Particularly, the formed central bright spot in the focusing fields of those CSAOVLs with n equaling to a multiple of 4 is observed to be much smaller than a Gaussian spot. The results can promote significantly the exploration of structured OVLs and provide potential applications in particle manipulation, imaging, and the realization of complex interactions between optical lattices and microscope particles such as atoms and micro- or nano-particles.