An optimization method was proposed for the design of cascaded silicon microring filters to significantly expand the free spectral range (FSR). To achieve a sparsest spectral response, an improved particle swarm optimization (IPSO) algorithm was utilized to search for the optimal non-integer vernier FSR ratios. We finally realized a 4th-order filter with a high out-of-band extinction ratio (ER) of >48dB and being FSR-Free in a wide wavelength range of >80nm. Robust convergency and scalability of the automated method were successfully demonstrated by applying it into the design of vernier microring filters with different orders.
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