“…[22][23][24][25][26][27] Moreover, a nonlinear phase-shift effect in an MRR 28) has recently attracted interest, and Mach-Zehnder interferometers (MZIs) incorporating the nonlinear phase-shift effect have also been extensively studied owing to their compact size and low driving voltage. To date, compound-semiconductor-and Si-MRR-assisted MZMs (MRR-MZMs) and switches have been developed using the carrier plasma effect, [29][30][31][32][33][34][35] the thermo-optic (TO) effect, 36,37) and an electric-field induced change in the refractive index, 38,39) and many of them are driven by a pair or pairs of MRRs. Although a multiple MRR-MZM with push-pull driving is advantageous for symmetric switching and lowering driving voltage, the precise control of resonant wavelengths of two MRRs is required.…”