高阶非互易分插滤波器
High-Order Nonreciprocal Add-Drop Filter
摘要：
拓扑光子学使器件具有稳健的光学行为，解决了制造缺陷和微扰对器件性能的影响问题。同时，时间耦合模理论（t-CMT）也得到了广泛的发展和应用。然而，级联耦合腔（CCC）系统的t-CMT及其相应的高阶滤波器尚未建立。本文在已有t-CMT的基础上建立了CCC系统的t-CMT。将CCC与拓扑波导相结合，提出了一种高阶非互易分插滤波器的通用设计方案。定量分析了腔体耦合效应与HONAF滤波器传输和滤波性能的关系，给出了提高滤波器传输效率和品质因数的方法。基于旋磁光子晶体和十次Penrose型光子准晶的结合，提出了一种HONAF。数值分析了HONAF的传输和滤波性能，验证了理论预测与数值模拟的一致性。所建立的CCC系统的t-CMT可广泛应用于耦合谐振腔光波导及其相关系统。所设计的HONAF也可应用于微波通信系统中。
英文摘要：
Topological photonics have led to the robust optical behavior of the device, which has solved the problem of the influence of manufacturing defects and perturbations on the device performance. Meanwhile, temporal coupled-mode theory (t-CMT) has been developed and applied widely. However, the t-CMT of cascaded coupling cavities (CCC) system and its corresponding high-order filter has yet to be established. Here the t-CMT of CCC system is established based on the existing t-CMT. By combining the CCC with the topological waveguides, a versatile design scheme of the high-order nonreciprocal add-drop filter (HONAF) is proposed. The relationship between coupling effect of cavities and transmission and filtering performance of HONAF is analyzed quantitatively, then a method to improve the transmission efficiency and quality factor of the filter is given. Based on the combination of gyromagnetic photonic crystals and decagonal Penrose-type photonic quasicrystals, a HONAF is proposed. The transmission and filtering performance of the HONAF are numerically analyzed, which verifies the consistency between the theoretical prediction and the numerical simulation. The t-CMT of CCC system established can be widely used in the coupled resonator optical waveguides and their related systems. The designed HONAF can also be applied and compatible to microwave communication system.
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