Non-Hermitian photonic band winding and skin effects: a tutorial

IF 30.1 1区物理与天体物理 Q1 OPTICS

Advances in Optics and Photonics Pub Date : 2026-06-08 DOI:10.1364/aop.529289

Wang Heming, Zhong Janet, Fan Shanhui

引用次数: 0

Abstract

Non-Hermitian band structures have gained considerable attention due to the novel phenomena not present in their Hermitian counterparts and their connection to various branches of mathematics such as topology and complex analysis. The study of such band structures may also find applications in laser design and in sensing. The spectra and eigenmode characteristics of extended non-Hermitian systems depend strongly on the boundary conditions. With periodic boundary conditions, the spectra can become complex, leading to band winding on the complex frequency plane. With open boundary conditions, the eigenmodes have spatial profiles that are localized at the boundary, an effect known as the non-Hermitian skin effect. Here we provide an overview of the band winding and skin effects in non-Hermitian photonics bands, focusing on one-dimensional cases and photonic applications. We aim to provide a detailed, consistent, and unifying treatment of various phenomena associated with non-Hermitian band structures.

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非厄米光子带缠绕和蒙皮效果：教程

非厄米能带结构由于在厄米能带结构中不存在的新现象以及它们与拓扑学和复分析等数学分支的联系而受到了相当大的关注。这种能带结构的研究也可以在激光设计和传感中找到应用。扩展非厄米系统的谱和本征模特性强烈依赖于边界条件。在周期边界条件下，谱会变得复杂，导致复频率平面上的带缠绕。在开放边界条件下，本征模具有边界局部化的空间轮廓，这种效应称为非厄米集肤效应。本文综述了非厄米光子带中的能带缠绕和趋肤效应，重点介绍了一维情况和光子应用。我们的目标是提供与非厄米能带结构相关的各种现象的详细，一致和统一的处理。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Advances in Optics and Photonics OPTICS-

CiteScore

56.60

自引率

0.00%

发文量

期刊介绍： Advances in Optics and Photonics (AOP) is an all-electronic journal that publishes comprehensive review articles and multimedia tutorials. It is suitable for students, researchers, faculty, business professionals, and engineers interested in optics and photonics. The content of the journal covers advancements in these fields, ranging from fundamental science to engineering applications. The journal aims to capture the most significant developments in optics and photonics. It achieves this through long review articles and comprehensive tutorials written by prominent and respected authors who are at the forefront of their fields. The journal goes beyond traditional text-based articles by enhancing the content with multimedia elements, such as animation and video. This multimedia approach helps to enhance the understanding and visualization of complex concepts. AOP offers dedicated article preparation and peer-review support to assist authors throughout the publication process. This support ensures that the articles meet the journal's standards and are well-received by readers. Additionally, AOP welcomes comments on published review articles, encouraging further discussions and insights from the scientific community. In summary, Advances in Optics and Photonics is a comprehensive journal that provides authoritative and accessible content on advancements in optics and photonics. With its diverse range of articles, multimedia enhancements, and dedicated support, AOP serves as a valuable resource for professionals and researchers in these fields.