期刊
JOURNAL OF SOUND AND VIBRATION
卷 493, 期 -, 页码 -出版社
ACADEMIC PRESS LTD- ELSEVIER SCIENCE LTD
DOI: 10.1016/j.jsv.2020.115687
关键词
Sonic crystals; Topology optimization; Dirac cone; Degeneracy; Topological insulator; Quantum spin-hall effect
资金
- Hong Kong Scholars Program [XJ2018041]
- National Natural Science Foundation of China [11802012, 11991031, 11991032, 12021002, 11902171]
- Postdoctoral Science Foundation [2017M620607]
- Fundamental Research Funds for the Central Universities [FRF-TP -17-070A1]
- Sino-German Joint Research Program [1355]
- German Research Foundation (DFG) [ZH 15/27-1]
This paper presents a bottom-up topology optimization approach for designing customized acoustic Dirac cones. Novel square-symmetric, chiral and orthogonal-symmetric sonic crystals with double, triple and quadruple degeneracies at different wavelength scales are constructed using this approach. The proposed methodology offers a unified framework for tailoring SCs with exotic functionalities.
Dirac point, the cornerstone of topological insulators, has been attracting ever-increasing attention due to its extraordinary properties. In this paper, a bottom-up topology optimization approach is established to systematically design the acoustic Dirac cones with customized double, triple and quadruple degeneracies at different wavelength scales. Using the proposed methodology, novel square-symmetric, chiral and orthogonal-symmetric sonic crystals (SCs) are constructed in a square lattice with tailored Dirac cones. The proposed design approach offers a unified framework to tailor SCs with exotic functionalities which are being widely researched in acoustic metamaterial community. As illustrative examples, zero-index acoustic cloaking and Talbot effect near the Dirac points of the optimized SCs are demonstrated numerically. Moreover, a novel acoustic pseudo-spin topological insulator is obtained, which entails a robust zigzag wave propagation and broadband, unidirectional, and topologically protected transport with a record-breaking relative bandwidth of 30.51%. The proposed design methodology shows promise and opens new horizons for customizing topological acoustics and conceiving high-efficiency wave devices. (C) 2020 Elsevier Ltd. All rights reserved.
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