Fig. 1. (a) Schematic illustration of the algorithm: We use specific supposition of low-order LG modes to form the initial optical vortex array fields, E1(ρ,ϕ), then multiply this field by N times. By extracting the phase matrices and imparting a uniform intensity, we then obtain the N-order vortex array efficiently. (b) Simulation of an original optical vortex array field produced by superposing LG modes of ℓ1=1, ℓ2=5, and ℓ3=15. (c) Simulation of a three-order optical vortex array generated from (b) by setting N=3.

Fig. 2. A schematic overview of the experimental setup to generate vortex arrays carrying high-order topological charges.

Fig. 3. (a), (b) Simulation results of the intensity and phase distributions of the original optical vortex array field with 0.8LG00+LG03. (c), (d) The five-order and (e), (f) ten-order optical vortex array fields and their interference fringes with a tilt plane wave.

Fig. 4. (a), (b) Simulation results of the intensity and phase distributions of the original optical vortex array field with LG05+LG015. (c), (d) The two-order and (e), (f) three-order optical vortex array fields and their interference fringes with a tilt plane wave.

Fig. 5. (a), (b) Theoretical spectra of LG modes involved in producing original optical vortex arrays. (c), (d) Experimental results of corresponding five- and three-order optical vortex arrays. (e), (f) The corresponding interference fringes with a tilt plane wave.