Numerical analysis of the four-wavelength-mixing (FWM) in the ring-resonator on SOI

We analyzed the continuous wave pumped FWM in the ring resonator based on SOI platform. The FWM effect and the resonance effect of the ring were combined in the same model to form simultaneous equations and iterative method was used to solve the implicit equations. Different from the previous methods, the nonlinear phase shift caused by SPM, XPM and free carrier plasma dispersion effect, the linear propagation loss and the nonlinear loss caused by TPA and FCA, the dispersion effect of the waveguide were all taken into consideration. According to this model, an interesting de-resonance phenomenon was predicted and its constraint to the conversion efficiency was also analyzed. The spectrum response became a FANO like profile and the response wavelength shift of the pump wavelength was no longer the quadratic relationship with the coupled optical power, while the signal wavelength shift still kept the relationship. As the increase of the pump power, the conversion efficiency of the idler first increased and reached the maximum, but then the conversion efficiency reduced as further increase of the pump power.