Complex aperiodic 1D dielectric distributions offer intriguing optical propagation features. For example, Thue–Morse (TM) sequence-based 1D photonic crystals (PCs) exhibit transmission spectra that are characterized by fractal band structure, i.e. they comprise traditional photonic band gaps (TPBGs) and fractal PBGs along with non-intuitive local resonances. These arise out of not-so-apparent positional correlations in the dielectric distribution. We identify inter-cell and intra-cell interaction between hidden dimer-like units in a TM-PC and present a relationship between the topological phase of lowest-order pass bands with reflection phase ( φ ) in the TPBGs. The analysis reveals that the dielectric filling factor ( σ ) of a TM-PC could serve as a parameter that determines the topological invariants for the geometry and could be tuned optimally in TM-PC-based heterostructures for exciting optical edge modes, which are disorder resistant (or topologi...

中文翻译：

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基于Thue-Morse序列的分布式反射器中的光学边缘模式

复杂的非周期性一维电介质分布提供了引人入胜的光学传播功能。例如，基于Thue-Morse（TM）序列的一维光子晶体（PC）表现出以分形能带结构为特征的透射光谱，即它们包含传统的光子带隙（TPBG）和分形PBG以及非直观的局部共振。这些是由于介电分布中不太明显的位置相关性引起的。我们确定了TM-PC中隐藏的类似二聚体的单元之间的小区间和小区间相互作用，并提出了TPBGs中最低阶通带的拓扑相位与反射相位（φ）之间的关系。