论文标题
高Q间质方耦合微孔谐振器阵列
High-Q Interstitial Square Coupled Microring Resonators Arrays
论文作者
论文摘要
研究了耦合的微孔谐振器（MRR）带有间隙环的平方阵列的性能。通过具有Floquet-Bloch周期性条件的转移矩阵方法获得间质平方耦合MRR的分散行为。特殊情况的特殊情况是，在没有间隙的没有间隙环的情况下，具有与相同的耦合器和常规的正方形耦合MRRS阵列的特殊情况，具有本质波矢量，带隙和本征模式向量的分析公式。然后，通过世俗方程计算给定频率的四个特征波向量中的每个特征模式的场分布。最后，对于与相同的耦合器和常规的正方形耦合MRRS阵列的间隙平方耦合MRRS阵列进行了数值模拟。模拟结果验证了分析分析。最后，获得了间隙5环配置的加载质量因子，常规的4环配置和1圈配置将获得。发现间质5环配置的加载质量因子分别高达20倍和8倍的高度，分别是1圈配置和常规的4架配置的质量，主要是由于谐振频率下的变性特征模式。因此，间质平方耦合的MRRS阵列具有形成高质量集成光子组件的巨大潜力，包括过滤器和基于共振的传感设备，例如平均时间对称传感器。
The properties of the square array of coupled Microring Resonators (MRRs) with interstitial rings are studied. Dispersion behavior of the interstitial square coupled MRRs is obtained through the transfer matrix method with the Floquet-Bloch periodic condition. Analytical formulas of the eigen wave vectors, band gaps and eigen mode vectors are derived for the special cases of the interstitial square coupled MRRs array with identical couplers and the regular square coupled MRRs array without the interstitial rings. Then, the eigen modes' field distribution are calculated for each of the four eigen wave vectors for a given frequency through the secular equation. Finally, numerical simulation is performed for an interstitial square coupled MRRs array with identical couplers and a regular square coupled MRRs array. The simulation result verifies the analytical analysis. Finally, the loaded quality factors of the interstitial 5-ring configuration, the regular 4-ring configuration and the 1-ring configuration are obtained. It is found that the loaded quality factor of the interstitial 5-ring configuration is up to 20 times and 8 times as high as those of the 1-ring configuration and the regular 4-ring configuration respectively, mainly due to the degenerated eigen modes at the resonant frequency. Thus, the interstitial square coupled MRRs array has the great potential to form high-quality integrated photonics components, including filters and resonance based sensing devices like the parity-time symmetric sensors.
