标题： 散射链的边缘模式与非周期序列 显示英文标题

标题： Edge Modes of Scattering Chains with Aperiodic Order

摘要： 我们使用矢量格林矩阵方法研究一维确定性非周期链的散射共振，该方法考虑了开放散射系统中的短程和长程电磁相互作用。 我们发现分形能隙中存在具有特征拓扑带结构的边缘局域散射态。 值得注意的是，我们在Su-Schrieffer-Heeger (SHH)双原子模型的经典波类比、准周期Harper和斐波那契晶体以及更复杂的Thue-Morse非周期系统中报告并表征了边缘局域模式。 我们的研究表明，在开放非周期系统中会出现具有特征幂律包络的拓扑边缘模，并与传统的指数局域模共存。 我们的结果将拓扑态的概念扩展到具有非周期序的复杂开放系统的散射共振，从而为超越紧束缚模型的拓扑光学超材料和器件的预测设计提供了重要步骤。 显示英文摘要

摘要： We study the scattering resonances of one-dimensional deterministic aperiodic chains of electric dipoles using the vectorial Green's matrix method, which accounts for both short- and long-range electromagnetic interactions in open scattering systems. We discover the existence of edge-localized scattering states within fractal energy gaps with characteristic topological band structures. Notably, we report and characterize edge-localized modes in the classical wave analogues of the Su-Schrieffer-Heeger (SHH) dimer model, quasiperiodic Harper and Fibonacci crystals, as well as in more complex Thue-Morse aperiodic systems. Our study demonstrates that topological edge-modes with characteristic power-law envelope appear in open aperiodic systems and coexist with traditional exponentially localized ones. Our results extend the concept of topological states to the scattering resonances of complex open systems with aperiodic order, thus providing an important step towards the predictive design of topological optical metamaterials and devices beyond tightbinding models.