Fig. 1. Radial distribution of beam array

Fig. 2. Numerical simulation of beam propagtion

Fig. 3. Light field distributions of radial vortex beam array at different propagation distances in free space. (a) z=0 m, intensity; (b) z=0 m, phase; (c) z=500 m, intensity; (d) z=500 m, phase

Fig. 4. Light field distributions of radial vortex beam array at different propagation distances in free space. (a) z=1000 m, intensity; (b) z=2000 m, intensity; (c) z=5000 m, intensity; (d) z=1000 m, phase; (e) z=2000 m, phase; (f) z=5000 m, phase

Fig. 5. Light field distributions of radial vortex beam array at different propagation distances in turbulence (Cn2=1×10-14 m-2/3). (a)-(c) Instantaneous; (d)-(f) long exposure

Fig. 6. Relative beam width versus transmission distance under different waist widths. (a) Single vortex beam; (b) vortex beam array

Fig. 7. Relative beam width versus transmission distance under different topological charges. (a) Single vortex beam; (b) vortex beam array

Fig. 8. Relative beam width versus transmission distance under different turbulence intensities. (a) Single vortex beam; (b) vortex beam array

Fig. 9. Relative beam width versus transmission distance under different turbulence outer scales. (a) Single vortex beam; (b) vortex beam array

Fig. 10. Relative beam width versus transmission distance under different turbulence inner scales. (a) Single vortex beam; (b) vortex beam array