Multi-class, multi-functional design of photonic topological insulators by rational symmetry-indicators engineering

An explicit topology optimization-based design paradigm is proposed for the design of photonic topological crystalline insulators (TCIs). To strictly guarantee the topological property, rational engineering of symmetry-indicators is carried out by mathematical programming, which simultaneously maxim...

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Bibliographic Details
Published inNanophotonics (Berlin, Germany) Vol. 10; no. 18; pp. 4523 - 4531
Main Authors Luo, Jiachen, Du, Zongliang, Guo, Yilin, Liu, Chang, Zhang, Weisheng, Guo, Xu
Format Journal Article
LanguageEnglish
Published Berlin De Gruyter 03.12.2021
Walter de Gruyter GmbH
Subjects
Design optimization
higher-order topological insulator
Indicators
Inverse design
Mathematical programming
Photonic crystals
Symmetry
symmetry-indicator
topological crystalline insulator
topological insulator
Topological insulators
Topology optimization
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Summary:An explicit topology optimization-based design paradigm is proposed for the design of photonic topological crystalline insulators (TCIs). To strictly guarantee the topological property, rational engineering of symmetry-indicators is carried out by mathematical programming, which simultaneously maximizes the width of nontrivial topological band gaps and achieves the desired quantized bulk polarization. Our approach is successfully applied to design photonic TCIs with time-reversal symmetry in two-dimensional point groups, higher-order magnetic TCIs, and higher-order photonic TCIs. This methodology paves the way for inverse design of optimized photonic/phononic, multiphysics, and multifunctional three-dimensional TCIs.
ISSN:2192-8614
2192-8606
2192-8614
DOI:10.1515/nanoph-2021-0433