Optical Filter Design: Gain Analysis and Tolerance Analysis
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Three components, gain analysis, tolerance analysis in-depth, and a brief non- linearity analysis, are presented. In the first component, the effects of an Erbium doped waveguide amplifier in a microring are investigated using a time domain simulation. Methods to simulate the gain versus average input signal power in the microring are studied, given that it has a long lifetime compared to the short delay time of the microring. The methods are based on the dependence of the gain on the power of the signal being fed to the ring. An algorithm is proposed to perform a thorough tolerance analysis on any optical circuit with respect to any optical parameter. The algorithm, based on Monte Carlo Simulation, is implemented on a complex optical circuit that is designed to obtain a bandpass filter response of given specifications. It is also tested on similar designs for a comparative study between them. The parameters and the structure of the designs used for the analysis are presented in detail. The results are presented in terms of the yield with respect to the parameter being varied, against their tolerance value. Algorithms for studying the effects of two types of non-linearities are presented. The Kerr nonlinearity and the two-photon absorption are included in the bandpass filter designs used for the tolerance analysis. The algorithms are based on the power circulating in different regions of the circuit under consideration. The variation in the original response because of the loss due to nonlinearity is observed and analyzed for different power levels of the input signal.