The topological properties of photonic microstructures are of great interest because of their experimental feasibility for fundamental study and potential applications. Here, we show that robust guided-mode-resonance states exist in photonic domain-wall structures whenever the complex photonic band structures involve certain topological correlations in general. Using the non-Hermitian photonic analogy of the one-dimensional Dirac equation, we derive essential conditions for photonic Jackiw-Rebbi-state resonances taking advantage of unique spatial confinement and spot-like spectral features which are remarkably robust against random parametric errors. Therefore, the proposed resonance configuration potentially provides a powerful method to create compact and stable photonic resonators for various applications in practice.

中文翻译：

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非厄米纳米光子界面的拓扑导模共振

光子微结构的拓扑特性因其在基础研究和潜在应用中的实验可行性而备受关注。在这里，我们表明，只要复杂的光子带结构通常涉及某些拓扑相关性，就在光子畴壁结构中存在稳健的导模谐振状态。使用一维狄拉克方程的非厄米光子类比，我们利用独特的空间限制和点状光谱特征推导出光子 Jackiw-Rebbi 状态共振的基本条件，这些特征对随机参数误差非常稳健。因此，所提出的谐振配置可能提供一种强大的方法来为实践中的各种应用创建紧凑且稳定的光子谐振器。