3.5 Parallel Cascaded ADMRs -- 3.6 Parallel Cascaded Microring Doublets -- 3.7 2D Networks of CMRs -- 3.7.1 Energy coupling analysis of 2D CMR networks -- 3.7.2 Energy coupling synthesis of 2D CMR networks -- 3.7.3 Power coupling analysis of 2D CMR networks -- 3.8 Summary -- References -- 4 Nonlinear Optics Applications of Microring Resonators -- 4.1 Nonlinearity in Optical Waveguides -- 4.1.1 Intensity-dependent nonlinearity -- 4.1.2 Free carrier-induced nonlinear effects -- 4.1.3 Wave propagation in a nonlinear optical waveguide -- 4.1.4 Free carrier-induced nonlinear effects in an optical waveguide -- 4.1.5 FWM in a nonlinear optical waveguide -- 4.2 Optical Bistability and Instability in a Nonlinear Microring Resonator -- 4.2.1 SPM and enhanced nonlinearity in a microring resonator -- 4.2.2 Bistability and self-pulsation in a microring resonator -- 4.2.3 Free carrier effects and self-pulsation in a microring resonator -- 4.3 All-Optical Switching in a Nonlinear Microring Resonator -- 4.3.1 Enhanced nonlinear switching in a microring resonator -- 4.3.2 Self-switching of a pulse in a nonlinear microring resonator -- 4.3.3 Pump-and-probe switching in a nonlinear microring resonator -- 4.4 FWM in a Nonlinear Microring Resonator -- 4.5 Summary -- References -- 5 Active Photonic Applications of Microring Resonators -- 5.1 Mechanisms for Tuning Microring Resonators -- 5.1.1 The thermo-optic effect -- 5.1.2 The electro-optic effect -- 5.1.3 Free carrier dispersion -- 5.2 Dynamic Response of a Microring Modulator -- 5.2.1 Dynamic energy-coupling model of a microring modulator -- 5.2.2 Small-signal analysis -- 5.2.2.1 Transfer function of an APMR modulator -- 5.2.2.2 Modulation efficiency -- 5.2.2.3 Electrical bandwidth -- 5.2.2.4 Small-signal step response -- 5.3 Large-Signal Response of a Microring Modulator -- 5.3.1 Large-signal step response