Fig. 1. Typical images of Brillouin spectra that pumped with narrow linewidth laser and broadband laser, and the corresponding fringe patterns

Fig. 2. Curves of Eq. (12) and Thomae's function

Fig. 3. Experimental configuration

Fig. 4. The synthesis of test data

Fig. 5. Typical ∑|F_n|to b_trial curve

Fig. 6. The f(x) recovered from different b_trial

Fig. 7. The accuracies when white Gaussian noise is mixed with the original signal, the accuracies for the same signals when a Gaussian filter is applied during processing, and the corresponding frequency charts of these signals

Fig. 8. Experimental configuration to measure the ratio of pump light to SBS light

Fig. 9. The accuracies when ratio of pump light to SBS light is not 1

Fig. 10. The stability of pump laser and SBS singal of 200 laser pulses