This chapter describes the methodologies used for the simulation process of this research. Every system, either add-drop or PANDA ring resonator systems consists of a series of microring resonator , connected with two bus waveguides at the center microring. The mathematical formulation and modelling description of proposed systems are described in details. The transfer functions for each model operating systems are derived based on actual practical device values. The whole process starting from the generation of input signals until the end of the process is expressed in the flow charts. All the simulation analysis are done by using MatLab programming software.