通过广义体边对应实现的特殊光传播
Exceptional light propagation via generalized bulk-edge correspondence
AI总结：
研究挑战拓扑光子学中传统体边对应的范式，用受Su-Schrieffer-Heeger启发的光子晶体揭示广义体边对应，其受电磁波相对论性质影响，有频率截止等特性，还依赖偏振，为拓扑光子学带来新机遇。
摘要：
在拓扑光子学中，传统体边对应通过类比电子系统引入，忽略了麦克斯韦方程和薛定谔方程根本不同的时空对称性。本文通过证明仅非平凡体拓扑不足以保证光子平台中的局域边态来挑战这一范式。利用受Su-Schrieffer-Heeger启发的光子晶体，揭示了由电磁波相对论性质内在塑造的广义体边对应。这种约束施加了严格的频率截止，这是电子拓扑绝缘体中根本不存在的特征，它在截止附近实现了频率控制空间局域化的新 regime。此外，我们证明这种广义对应是偏振依赖的：横向电（TE）和横向磁（TM）边模存在于不同参数 regime 中，并表现出不同的色散关系，包括不同的零色散点。我们的框架重新定义了拓扑光子学的理论边界，为拓扑光子平台中的偏振选择色散工程和稳健脉冲传播开辟了新机会。
英文摘要：
In topological photonics, the bulk-edge correspondence is conventionally imported by direct analogy with electronic systems, overlooking the fundamentally distinct spacetime symmetries of Maxwell's and Schrödinger's equations. In this work, we challenge this prevailing paradigm by demonstrating that non-trivial bulk topology alone is insufficient to guarantee localized edge states in photonic platforms. Using a Su-Schrieffer-Heeger-inspired photonic crystal, we unveil a generalized bulk-edge correspondence intrinsically shaped by the relativistic nature of electromagnetic waves. This constraint imposes a strict frequency cutoff, a feature fundamentally absent in electronic topological insulators, which enables a new regime of frequency-controlled spatial localization near the cutoff. Furthermore, we demonstrate that this generalized correspondence is polarization-dependent: transverse electric (TE) and transverse magnetic (TM) edge modes exist in different parameter regimes and exhibit distinct dispersion relations, including distinct zero-dispersion points. Our framework redefines the theoretical boundaries of topological photonics, unlocking new opportunities for polarization-selective dispersion engineering and robust pulse propagation in topological photonic platforms.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
