Sharp resonance with complete transmission in Thue-Morse microring resonators.

We present sharp resonances with complete transmission in the Thue-Morse microring resonator. The quasi-periodic structure attains a better quality of filtering than the traditional periodic structure. This includes the following: (i) the high-Q resonances with complete transmission are obtained in the transmission spectra, (ii) the maximum value of transmittance always remains 1 for an arbitrary proportion of two different radiuses in the major-band regions, and (iii) the complete transmission occurs for arbitrary coupling in the mini-band regions. Moreover, we propose an analytical method to predict the occurrences of resonance peaks in the mini-band regions based on the gap map.