Fig. 1. Profile of light field distribution for an infinite energy one-dimensional Airy beam in the incident surface

Fig. 2. Profile of the light field distribution for a finite energy one-dimensional Airy beam in the incident surface

Fig. 3. Phase diagram of radial symmetric Airy beam

Fig. 4. Transmission simulation images of Airy beam in space. (a) Three-dimensional diagram; (b) two-dimensional cross-section at z=1.0 m

Fig. 5. Lightpath of Airy beam emission device

Fig. 6. Physical diagrams of experimental setup for Airy beam underwater transmission properties. (a) Transmitter end; (b) receiver end

Fig. 7. Response curve of pulse repetition frequency in system input end

Fig. 8. Response curve of pulse repetition frequency in system output end

Fig. 9. Spot patterns of Airy beam for underwater transmission at different distances z and scale coefficients d. (a) z=20m,d=-1; (b) z=40m,d=-1; (c) z=60m,d=-1; (d) z=20m,d=-2; (e) z=40m,d=-2; (f) z=60m,d=-2; (g) z=20m,d=-3; (h) z=40m,d=-3; (i) z=60m,d=-3

Fig. 10. Spot patterns of Gaussian beam for underwater transmission at different distances. (a) 20 m; (b) 40 m; (c) 60 m

Fig. 11. Images captured by beam quality analyzer. (a) Gaussian beam; (b) Airy beam

Fig. 12. Schematic diagram of Airy beam communication by single-photon detection

Fig. 13. Schematic diagram of 2-PPM in single-photon detection communication. (a) Clock; (b) baseband signal; (c) 2-PPM modulation signal; (d) single-photon pulse signal; (e) time slot synchronous clock; (f) photon count value; (g) symbol synchronization clock; (h) demodulation signal