Fig. 1. Numerical simulation model. Saturable absorber, SA; single-mode fiber, SMF; Yb-doped fiber, YDF; optical coupler, OC; GTIM1, GTI mirrors, which provide a GDD of −3000 fs² per reflection; and GTIM2, GTI mirrors, which provide a GDD of −1000 fs² per reflection.

Fig. 2. (a) NCD curve with GTIM1 (reflection for 6 times), GTIM2 (reflection for 18 times), and without the GTI mirrors. The NCD value is −0.0072 ps² at 1030 nm after compensation. Inset: the GDD curve of GTIM1 and GTIM2. (b) Spectra when using GTIM1 and GTIM2 for dispersion compensation separately, whose NCD curves correspond to the red line and the black line in (a).

Fig. 3. Simulation results. (a) The spectra at different NCD. Times_2 represents the reflection times of GTIM2. (b) The ratio of the NCD to the NTOD versus Times_2, which corresponds to (a). (c) The spectra at different gain saturation energies E_sat. (d) The spectra at different transmission coefficients of the output mirror.

Fig. 4. Configuration of the dispersion-managed mode-locked fiber laser with GTI mirrors. Laser diode, LD; wavelength division multiplexer, WDM; Yb-doped fiber, YDF; single-mode fiber, SMF; semiconductor saturable absorber mirror, SESAM; half-wave plate, HWP; GTIM1, GTI mirrors of −3000 fs²; and GTIM2, GTI mirrors of −1000 fs²; output coupler, OC.

Fig. 5. Experimental results. (a) The spectra at different NCD values. Times_2 represents the reflection times of GTIM2. (b) The spectra under different pump powers. (c) The spectra under different transmission coefficients.

Fig. 6. Mode-locked fiber laser output characteristics at 90 mW pump power. (a) The spectrum in the linear scale (the inset is the spectrum in the logarithmic scale), (b) the intensity autocorrelation trace, (c) the output RF spectrum, and (d) the typical pulse train.