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We propose a universal method for constructing N-port nonblocking optical routers based on microring resonators. The topologies for five-, six-, seven-, and eight-port nonblocking optical routers are presented. As a case study, we compare the five-port optical router constructed by our method with the previously reported ones. The simulation results show that the mesh photonic network constructed by the proposed five-port optical routers has low insertion loss and high optical signal-to-noise ratio. Moreover, high-radix optical routers can be easily constructed by the proposed method, which can support more complicated and efficient network.