Abstract
In terms of the coupled mode theory and the transfer matrix technique, novel formulas of the transfer functions are presented for a 2D microring resonator (MRR) array, which consists of two straight buslines, N parallel-cascaded columns, each of which contains M series-coupled rings. By using these formulas, the parameters are optimized, and the transmission characteristics including the transmission spectrum and the insertion loss are analysed for such a 2D SiN/SiO2 MRR array. By properly selecting the distance between adjacent columns, the amplitude coupling ratio between the busline and the ring and that between adjacent rings, as well as the number of the rows and that of the columns, the box-like spectral response is successfully obtained, the passband is precipitous, and the non-resonant light and crosstalk are weak.
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