为研究高阶衍射级光束的轨道角动量, 基于计算全息法在空间光调制器的傅里叶平面产生了不同衍射级的完美涡旋光束, 并利用球面波干涉法对其拓扑荷值进行了测量。理论和实验结果表明不同衍射级 p 上的整数阶和分数阶完美涡旋光束的拓扑荷值 l 都满足 l=mp 的关系, 其中 m 是相位掩模板的拓扑荷值。并进一步对不同衍射级的光学涡旋阵列进行了实验研究, 结果表明光学涡旋阵列中光学涡旋的拓扑荷值满足 l=p 的关系, 高阶衍射级上的衍射光束比 +1 级衍射光束具有更大的轨道角动量。该研究为光学涡旋及光学涡旋阵列进一步的研究及应用提供了理论和实验参考。

将光学涡旋与计算全息技术相结合，提出一种高质量光学涡旋阵列的产生方法.从理论上研究了光学涡旋阵列的形成和分布特征，并模拟仿真产生涡旋光束阵列.基于面向目标的共轭对称延拓傅里叶计算全息方法编码生成光学涡旋阵列的全息图，利用单个反射式空间光调制器光电再现了与理论一致的光学涡旋阵列，并通过马赫-增德尔干涉法对生成的光学涡旋阵列进行验证.产生的高质量光学涡旋阵列提供了更复杂的结构分布和更多的可控参量，且实验光路易实现.研究结果在光学微操控、光通信等领域具有潜在应用价值.

The generation and propagation dynamics of multiple optical vortices hosted in a Gaussian beam are experimentally demonstrated by use of the computer-generated holography. Fluid-like motions of the multi-vortex beam are observed owing to the helical phase structure. The multi-vortex beam with identical topological charge presents rotation, which can be suppressed by changing the sign of the topological charge alternately. In addition, the transverse motion control of the multi-vortex is proved by inserting an additional vortex. Finally, rotary and stationary vortex lattices with different periodic arrays are experimentally constructed. The results exhibit potential applications in inducing twisted or stable waveguide arrays and new types of optical traps.