Fig. 1. Schematic diagram of (a) an add-drop MR system without integration with an SG-DFB, (b) an add-drop MR system integrated with an SG-DFB, and (c) the SG-DFB structure.

Fig. 2. (a) SG-DFB structure with burst length LB=5  μm, burst spacing Ls=45  μm, sample grating length LG=455  μm, and number of bursts N=10; (b) grating length versus number of bursts.

Fig. 3. Mode propagation profile of the silicon waveguide with a length of 650 μm. (a) 2D view, (b) 3D view, (c) cross section view, (d) 3D view of the propagation respect to the cross section of the silicon waveguide; the effective index is 3.33 and the effective area is 1  μm2.

Fig. 4. Mode propagation profile of the SG-DFB with a length of 455 μm. (a) 2D view, (b) 3D view, (c) cross section view, (d) 3D view of the propagation respect to the cross section of the SG-DFB; the effective index is 3.25 and the effective area is 2.42  μm2.

Fig. 5. Time domain output signals from the drop port of the add-drop MR (a) without integration with the SG-DFB, FWHM=1.35  ps, and (b) with integration with the SG-DFB, FWHM=1.7  ps.

Fig. 6. Multiple center wavelength output results from the throughput port of the add-drop MR when (a) the add-drop MR is not integrated with the SG-DFB [Fig. 1(a)], FWHM=8pm, and FSR=2.18  nm; and (b) the add-drop MR is integrated with the SG-DFB [Fig. 1(b)], FWHM=5.4pm, and FSR=1.06  nm.

Fig. 7. Drop port output signals (a) with no SG-DFB integration, FWHM=80  pm, and FSR=2.18  nm; (b) after the add-drop MR is integrated with the SG-DFB, FWHM=44  pm and FSR=1.06  nm.

Fig. 8. Dispersion of the drop port output signals for (a) an add-drop MR without the SG-DFB [Fig. 1(a)], (b) versus wavelength, and (c) an add-drop MR integrated with the SG-DFB [Fig. 1(b)].