Abstract
Modulation of the position and shape of the double optical vortex with opposite phases is perplexing scientists due to the complex polarization of Pancharatnam–Berry. In this paper, we used an optical pen and cross-phase to solve these problems. Importantly, the topological charges of the dual optical vortex produced by this method are independent of each other, the shape of which is polygonal and the position of which can be predesigned in free space. The dual optical vortex can keep its amplitude, size, and shape in a certain propagation process. These characteristics help it to have a good application prospect in the fields of micromanipulation and optical tweezers, as well as other multidimensional operations.
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