Nature Photonics ( IF 32.3 ) Pub Date : 2024-11-20 , DOI: 10.1038/s41566-024-01564-2 Zhichan Hu, Domenico Bongiovanni, Ziteng Wang, Xiangdong Wang, Daohong Song, Jingjun Xu, Roberto Morandotti, Hrvoje Buljan, Zhigang Chen
Vortex phenomena are ubiquitous in nature. In optics, despite the availability of numerous techniques for vortex generation and detection, topological protection of vortex transport with desired orbital angular momentum (OAM) remains a challenge. Here, by use of topological disclination, we demonstrate a scheme to confine and guide vortices featuring arbitrary high-order charges. Such a scheme relies on twofold topological protection: a non-trivial winding in momentum space due to chiral symmetry, and a non-trivial winding in real space due to the complex coupling of OAM modes across the disclination structure. We unveil a vorticity-coordinated rotational symmetry, which sets up a universal relation between the vortex topological charge and the rotational symmetry order of the system. As an example, we construct photonic disclination lattices with a single core but different Cn symmetries and achieve robust transport of an optical vortex with preserved OAM solely corresponding to one selected zero-energy vortex mode at the mid-gap. Furthermore, we show that such topological structures can be used for vortex filtering to extract a chosen OAM mode from mixed excitations. Our results illustrate the fundamental interplay of vorticity, disclination and higher-order topology, which may open a new pathway for the development of OAM-based photonic devices such as vortex guides, fibres and lasers.
中文翻译:
拓扑轨道角动量提取和涡流传输的双重保护
涡流现象在自然界中无处不在。在光学领域,尽管有许多用于涡旋产生和检测的技术,但具有所需轨道角动量 (OAM) 的涡旋传输的拓扑保护仍然是一个挑战。在这里,通过使用拓扑离散,我们展示了一种限制和引导具有任意高阶电荷的涡旋的方案。这样的方案依赖于双重拓扑保护:由于手性对称性,动量空间中的非平凡缠绕,以及由于 OAM 模式在离散度结构中的复杂耦合而在实际空间中的非平凡缠绕。我们揭示了涡度协调的旋转对称性,它在涡旋拓扑电荷和系统的旋转对称阶数之间建立了普遍关系。例如,我们构建了具有单个核心但 Cn 对称性的光子离散偏角晶格,并实现了光学涡旋的稳健传输,保留的 OAM 仅对应于中间隙处的一个选定的零能量涡旋模式。此外,我们表明这种拓扑结构可用于涡旋滤波,以从混合激发中提取选定的 OAM 模式。我们的结果说明了涡度、离散度和高阶拓扑的基本相互作用,这可能为基于 OAM 的光子器件(如涡旋导向、光纤和激光器)的开发开辟一条新途径。