1. Inverse design of second-order photonic topological insulators in C3-symmetric lattices
- Author
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Xiaodong Huang, Yafeng Chen, Jie Zhu, and Fei Meng
- Subjects
Physics ,business.industry ,Band gap ,Applied Mathematics ,Boundary (topology) ,Edge (geometry) ,Topology ,Symmetry (physics) ,Modeling and Simulation ,Topological insulator ,Topological order ,Photonics ,business ,Photonic crystal - Abstract
Second-order photonic topological insulators (SPTIs) featured with topological edge and corner states provide an intriguing way for steering light in integrated optics. However, existing SPTIs have narrow bulk gaps for tightly confining topological edge and corner states. In this paper, we propose a bi-directional evolutionary structural optimization (BESO) method to inversely engineer SPTIs in C3-symmetric lattices. At first, we maximize the first band gap of a photonic crystal (PC) enforced with C3 symmetry. Then, the topological phase transition is achieved by inverting the optimized PC. Highly localized topological edge and corner states are formed at the boundary and corner between the optimized PC and its inversion-symmetry partner. The bandwidth of the topological edge state for TE modes achieves 44.9%, exceeding two times of the current record. The robust of the topological corner states is further demonstrated. Our work provides a new route for designing SPTIs, paving the way towards their practical application.
- Published
- 2022
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