The measurement, two-dimensional modulation, and even three-dimensional modulation are three essential components in light field modulation. In this work, we propose a method that can measure and shape the circular Airy vortex (CAV) simultaneously by using the cross-phase for the first time. Firstly, we offer a way to measure the topological charges of CAVs with the low-order cross-phase in the autofocusing area. Secondly, we suggest a way to shape intensity distributions of CAVs with the high-order cross-phase in the autofocusing area and show its asymmetric modulation ability. Furthermore, we discuss the influence of parameter u on a CAV in the shaping process. On this basis, we investigate a method to independently control the focal depth of already generated CAVs and show the possibility of multi-singularity manipulation. This work provides an alternative approach to measure and shape a CAV, facilitating the 2D and even 3D optical micro-manipulation applications.

测量、二维调制，甚至三维调制是光场调制的三个基本组成部分。在这项工作中，我们首次提出了一种可以通过使用交叉相位同时测量和塑造圆形艾里涡流 (CAV) 的方法。首先，我们提供了一种在自动对焦区域测量具有低阶交叉相位的 CAV 拓扑电荷的方法。其次，我们提出了一种在自动对焦区域用高阶交叉相位来塑造 CAV 强度分布的方法，并展示其不对称调制能力。此外，我们讨论了参数u的影响在成型过程中的 CAV 上。在此基础上，我们研究了一种独立控制已经生成的 CAV 的焦深的方法，并展示了多奇点操作的可能性。这项工作提供了一种测量和塑造 CAV 的替代方法，促进了 2D 甚至 3D 光学微操作应用。