Arbitrary-order vortex lattice and linear vortex array formed by the superposition of two edge dislocation fields

Abstract

The vortex lattice and linear vortex array are network structures of multiple isolated vortices. We propose a method to generate these multi-vortex fields via superimposing two engineered edge dislocation arrays. By designing the topology of the edge dislocation array for stacking, we may obtain an arbitrary-order vortex lattice and linear vortex array. Besides, these edge dislocation array fields can be decomposed into a finite sum of harmonics, which indicates that anyorder vortex array can be created by using wave interference. It supplements the research about the vortex array generated by the interference method for the highest-order vortex lattice obtained by interferometry is 3rd at present. The feasibility of the proposed method is validated through simulations and experiments based on fourth-and fifth-order vortex lattices and linear vortex arrays.