Fig. 1. Block diagram of random number generation by chaotic laser

Fig. 2. Schematic diagram of photoelectric oscillation chaotic system

Fig. 3. Schematic diagram of all-optical sampling system

Fig. 4. Outputs of photoelectric oscillating chaotic system. (a) Time series; (b) autocorrelation function; (c) power spectrum; (d) sampled signal for 100 GSa·s^-1 sampling rate

Fig. 5. Change in probability of run test Pr with sampling rate

Fig. 6. Autocorrelation functions of signal for different sampling rates. (a) Sampling rate is 1.33 GSa·s^-1; (b) sampling rate is 46.33 GSa·s^-1; (c) sampling rate is 47.33 GSa·s^-1; (d) sampling rate is 100.33 GSa·s^-1

Fig. 7. Power spectra of discrete sampling signals. (a) Sampling rate is 100 GSa·s^-1; (b) sampling rate is 46.33 GSa·s^-1; (c) sampling rate is 15.78 GSa·s^-1; (d) fitting curves of power spectra under different sampling rates

Fig. 8. Frequency distribution histograms of signal amplitude. (a) Sampling rate is 1.33 GSa·s^-1; (b) sampling rate is 3.33 GSa·s^-1; (c) sampling rate is 40.33 GSa·s^-1; (d) sampling rate is 50.33 GSa·s^-1

Fig. 9. Change of probability of normality test with sampling rate

Fig. 10. Change of Lyapunov exponent with β

Fig. 11. Change of fr' with β

Fig. 12. Evolution of probability density function with β

Fig. 13. Change of fn' with β