Fig. 1. (a) Temporal profile, (b) optical spectrum, and (c) eigenvalues of a pulse from the fiber laser.

Fig. 2. (a) Temporal profile, (b) optical spectrum, and (c) eigenvalue of the filtered soliton.

Fig. 3. NFT data evolution obtained from the measurement of the fiber laser: (a) real-time spatial–temporal dynamics of laser evolution from full-field measurements; (b) evolution of the eigenvalues; (c) dynamics of filtered soliton evolution; and (d) evolution of its eigenvalues.

Fig. 4. NFT data evolution obtained from the output of the fiber laser in period doubling: (a) real-time spatial–temporal dynamics of laser evolution from full-field measurements; (b) the temporal width of the pulse during every round trip; (c) the evolution of the imaginary parts of eigenvalues; and (d) the evolution of filtered soliton evolution.

Fig. 5. Temporal profiles and optical spectra of the period doubling pulse without and with soliton distillation: (a), (b) state 1; (c), (d) state 2.

Fig. 6. NFT data evolution obtained from the double pulses under (a)–(d) unstable and (e)–(l) stable state: (a), (e), (i) real-time spatial–temporal dynamics of laser evolution from full-field measurements; (b), (f), (j) the evolution of the imaginary parts of eigenvalues; (c), (g), (k) the temporal profiles without soliton distillation; (d), (h), (l) the temporal profiles with soliton distillation.

Fig. 7. NFT data evolution obtained from the triple pulses under (a)–(d) unstable and (e)–(h) stable state: (a), (e) real-time spatial–temporal dynamics of laser evolution from full-field measurements; (b), (f) the evolution of the imaginary parts of eigenvalues; (c), (g) the temporal profiles without soliton distillation; (d), (h) the temporal profiles with soliton distillation.

Fig. 8. (a) Three pulse separations of triple pulses, (b) pulse separation, and (c) filtered soliton separation with different initial pulse separation T0.

Fig. 9. Temporal profiles of (a) q(t)=10 sech(10t), (b) q(t)=10 sech[10(t+2)], (c) q(t)=8 sech[8(t+1)]+10 sech[10(t−1)], and (d) q(t)=8 sech[8(t+2)]+10 sech(10t)+9 sech[9(t−2)]. Each inset shows the eigenvalue distribution of the corresponding temporal profile.

Fig. 10. (a) Passively mode-locked fiber laser. ISO, isolator; PC, polarization controller; WDM, wavelength-division multiplexer; OC, output coupler. (b) Corresponding digital signal processing (DSP) flows of coherent receiver.