Wavelength selection performance of wavelength conversion based on four-wave mixing in silicon micro-ring resonators

The wavelength conversion based on four-wave mixing (FWM) is theoretically and numerically investigated in a silicon micro-ring resonator with the nonlinear phase shifts caused by self-phase modulation and cross-phase modulation taken into account. Analysis shows that the nonlinear phase shifts will cause different red shifts for the pump and signal (or converted) resonant wavelengths, and consequently an additional wavelength difference between the signal transmission dip and the efficiency peak.