微环谐振器可用作未来高密度、超大规模集成光路的基本构件,其重要发展方向之一是多环化、阵列化,微环谐振器阵列近来成为研究的热点。基于定向耦合器、环形谐振腔、直波导腔的基本单元传输矩阵,建立了用于分析微环谐振器阵列传输特性的传输矩阵模型。讨论了列间距对传输特性的影响,并数值模拟了不同尺度的奇数行和偶数行情况下谐振器阵列的传输特性。结合此传输矩阵模型,讨论了通过改变微环谐振器阵列的尺度以及耦合系数以实现滤波特性改善的方案。最后数值研究了最小尺度微环谐振器阵列传输特性与腔间耦合系数的关系。

The microring resonator is one of the promising building blocks for future high-density and large-scale integrated optics. One of its important development trends is multiplying and arraying it. Recently, microring resonator arrays have become research topics. Based on transfer matrices of cells of directional couplers, ring resonators and straight waveguide resonators, a transfer matrix model for analyzing the transmission characteristics of microring resonator arrays is established. The effects of the distance between two adjacent columns on the transmission characteristics are discussed, and the transmission characteristics are numerically simulated under conditions of odd and even rows for different dimensions. With the proposed model, the schemes of improving filtering characteristics by changing the dimensions and coupling coefficients of microring resonator array are discussed. Finally, the relation between the transmission characteristics and intercavity coupling coefficients of the microring resonator array with the smallest dimension is numerically studied.