Fig. 1. Modulus, phase distribution, and function curves with zero real part and zero imaginary part of complex degree of coherence of partially coherent pulsed vortex beams under different spatial coherent widths. (a)-(c)Modulus; (d)-(f) phase distribution; (g)-(i) function curves with zero real part (solid line) and zero imaginary part (dashed line)

Fig. 2. Effect of spatial coherent width on generation and annihilation of spatiotemporal coherent vortices. (a) δ=4.5 mm; (b) δ=4.8 mm; (c) δ=4.9 mm; (d) δ=8.9 mm; (e) δ=9.1 mm; (f) δ=9.5 mm

Fig. 3. Modulus, phase distribution, and function curves with zero real part and zero imaginary part of complex degree of coherence of partially coherent pulsed vortex beams under different temporal coherent lengths. (a)-(c)Modulus; (d)-(f) phase distribution; (g)-(i) function curves with zero real part (solid line) and zero imaginary part (dashed line)

Fig. 4. Effect of temporal coherent length on generation and annihilation of spatiotemporal coherent vortices. (a) T_c=0.9 ps; (b) T_c=1.1 ps; (c) T_c=1.2 ps; (d) T_c=1.9 ps; (e) T_c=2.0 ps; (f) T_c=2.4 ps

Fig. 5. Spatial and temporal positions of spatiotemporal coherent vortices varying with spatial coherence width under different propagation distances. (a)(b) z=100 m; (c)(d) z=300 m

Fig. 6. Spatial and temporal positions of spatiotemporal coherent vortices varying with temporal coherence length under different propagation distances. (a)(b) z=100 m; (c (d) z=300 m

Fig. 7. Schematic diagram of spatiotemporal coherent vortices generated by experiment

Fig. 8. Schematic diagram of spatiotemporal coherent vortices as way of information transmission

Fig. 9. Illustration of English alphabet information transmission

Fig. 10. Optical communication model based on coherent switch