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理论分析了一种将微环谐振器阵列与马赫-曾德尔干涉仪(MZI)相结合实现的反射型滤波器结构。将此结构类比为两类四端口网络级联模型,利用传输矩阵法推导出其通用函数形式,并给出单环及三环结构下的能量反射系数具体公式。通过传输函数矩阵模拟计算了取不同耦合系数值情况下的反射谱形变化,给出了原因分析及讨论。并模拟了引入传输损耗对三环结构谐振峰反射率的影响。数值结果表明:适当选取直波导与微型环以及微型环间耦合系数幅值时,此结构能够作为反射型滤波器件应用于密集波分复用(DWDM)系统,也可实现激光器反射镜面的功能;由于传输损耗增加而引起的谐振峰反射率下降程度依赖于所选取的耦合系数值。
A kind of reflective filter structure based on the combination of microring resonator and Mach-Zehnder Interferometer (MZI) is theoretically analyzed. The structure is analogized to two types of four-port network cascade model, and the general function form is deduced by the transfer matrix method. The specific formulas of the energy reflection coefficient under the single-ring and the tricyclic ring structures are given. The change of reflection spectrum under different coupling coefficients was simulated by transfer function matrix, and the reason analysis and discussion were given. The effect of introducing transmission loss on the resonant peak reflectivity of tricyclic ring structure is also simulated. The numerical results show that this structure can be used as a DWDM system as a reflective filter and a mirror surface of a laser when the coupling coefficients between a waveguide and a miniature ring and a micro ring are properly selected. The degree of degradation of the resonance peak reflectivity due to the increase of the transmission loss depends on the value of the selected coupling coefficient.