Wang Li, Zhou Yao, Ye Zifan, Zhao Jianxing, Zhou Jianhong
Opt Express. 2020 Jun 8;28(12):17153-17160. doi: 10.1364/OE.388412.
By using the transfer matrix method, we analyze the optical properties of periodically sparse patterned microring resonators in the resonator-waveguide system. The dispersion relation of a periodically sparse patterned microring is investigated theoretically. Two kinds of modes supported by the periodically sparse patterned microring resonators, traveling modes and stationary modes, are found. We also derive the reflectivity of the microring resonator side-coupled to a waveguide and find that just the stationary modes lead to total reflections. Traveling modes do not reflect, which can be used to extend free spectral range. All the transmission properties are confirmed by the finite-difference time-domain method numerically.
通过使用转移矩阵法，我们分析了谐振器 - 波导系统中周期性稀疏图案化微环谐振器的光学特性。从理论上研究了周期性稀疏图案化微环的色散关系。发现了周期性稀疏图案化微环谐振器支持的两种模式，即行波模式和驻波模式。我们还推导了侧面耦合到波导的微环谐振器的反射率，发现只有驻波模式会导致全反射。行波模式不反射，这可用于扩展自由光谱范围。所有传输特性均通过时域有限差分法进行了数值验证。
