We experimentally demonstrated a fast optimization algorithm based on the method of gradient descent for achieving optimum spectral response of high-order silicon microring optical filters. The filter optimization was performed on a 4th-order serially-coupled silicon microring filter by thermo-optically tuning the microring resonances using Ti/W heaters. Three different optimization objective functions were used to obtain the optimum filter shape, namely, the single-wavelength method, the dual-wavelength method, and the total transmitted power method. The efficacy of each optimization method was evaluated and compared based on the number of required iterations, the ideality of optimized response, and the wavelength tuning accuracy.
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