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http://hdl.handle.net/10397/106311
Title: | Customizing acoustic dirac cones and topological insulators in square lattices by topology optimization | Authors: | Dong, HW Zhao, SD Zhu, R Wang, YS Cheng, L Zhang, C |
Issue Date: | 17-Feb-2021 | Source: | Journal of sound and vibration, 17 Feb. 2021, v. 493, 115687 | Abstract: | 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. | Keywords: | Degeneracy Dirac cone Quantum spin-hall effect Sonic crystals Topological insulator Topology optimization |
Publisher: | Elsevier Ltd | Journal: | Journal of sound and vibration | ISSN: | 0022-460X | EISSN: | 1095-8568 | DOI: | 10.1016/j.jsv.2020.115687 | Rights: | © 2020 Elsevier Ltd. All rights reserved. © 2020. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/. The following publication Dong, H. W., Zhao, S. D., Zhu, R., Wang, Y. S., Cheng, L., & Zhang, C. (2021). Customizing acoustic dirac cones and topological insulators in square lattices by topology optimization. Journal of Sound and Vibration, 493, 115687 is available at https://doi.org/10.1016/j.jsv.2020.115687. |
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Cheng_Customizing_Acoustic_Dirac.pdf | Pre-Published version | 2.11 MB | Adobe PDF | View/Open |
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