All Optical Differential Operation Based On A Silicon Microring Resonator

All-optical signal processing has received significant attentions in the past years in an attempt to overcome the bandwidth and speed bottlenecks incurred in conventional electronics.Meanwhile,microring resonator is one of the most promising candidates for all-optical signal processing due to its intrinsic advantages of compact footprint,well integration capability and compatibility with complementary metal-oxide semiconductor(CMOS)technology.All-optical differential equation solver has great potential in high-speed and wide-band signal processing,such as special waveform generation,description of the complex dynamics,etc.All-optical differentiator plays an important role in the field of specific waveform generation,pulse shaping and optical sensing.In recent years,all-optical differential operation is one of the hottest research topic in optical information processing.There are two main research contents in this thesis:All-optical differential equation solver with tunable constant-coefficient using inverse Raman scattering effect in a microring resonator and Fractional-order photonic differentiator using racetrack microring resonator.The specific research is as follows:1.In this work,an all-optical differential equation solver with tunable constant-coefficient based on inverse Raman scattering(IRS)effect in a silicon microring resonator is proposed,which has great potential in high-speed and wide-band signal processing.By using IRS effect,k can be tunable by changing the power of the incident pump light,which differs from other methods electrically controlled.In addition,the optical tunable ordinary differential equation(ODE)solver can flexibly adjust the coefficients,and it has improved adjustment rate and adjustment range.The influences of the pump power and signal pulse width on the tunable range of k are investigated.It is demonstrated that k is continuously tunable in the range of 0.035/ps?0.130/ps with the error of<5%.2.In this study,the numerical simulation of the designed racetrack microring resonator was carried out.Simulation results reveal that the Gaussian pulse(FWHM =50 ps)can be differentiated with the order from 0.4 to 1.5 with the error of<5%.