Power-exponent-phase vortex beam arrays for generation enabled by Dammann gratings

Power-exponent-phase vortex (PEPV) beams have received particular attention for their unique capabilities in directional particle transport and collection. To the best of our knowledge, only the generation methods and properties of an individual PEPV beam have been studied and analyzed. In this paper, three types of grating phases for realizing power-exponent-phase vortex beam arrays are designed by taking advantage of the property that a Dammann grating can achieve a uniform energy distribution between laser far-field diffraction orders. Different types of gratings realize the generation of power-exponent-phase vortex beam arrays in the diffractive far-field, in which the topological charge distribution of each vortex has a different mathematical relationship with the diffraction order. In this paper, optical experiments are carried out by using a liquid crystal spatial light modulator loaded with grating phases. The experimental results are in agreement with the theory. The proposed method provides a new platform in optical communication, optical encryption and multiparticle manipulation.