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Broadband anomalous reflection caused by unsymmetrical specific acoustic impedance in phononic crystals

State Key Laboratory of Structure Analysis for Industrial Equipment, Department of Engineering Mechanics, Faculty of Vehicle Engineering and Mechanics, Dalian University of Technology, Dalian 116024, China

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C. W. Wu

E-mail Address: cwwu@dlut.edu.cn

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, and

Z. Chen

Department of Civil and Environmental Engineering, University of Missouri-Columbia, Columbia, MO 65211-2200, USA

E-mail Address: ChenZh@missouri.edu

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https://doi.org/10.1142/S0217984917503572Cited by:2 (Source: Crossref)

Abstract

We investigate through numerical simulation the anomalous reflection (AR) of acoustic waves with perfect phononic crystals (PCs). Broadband AR is observed in a wide angle for the oblique incidence. The AR is due to the unsymmetrical specific acoustic impedance (SAI) profile along the surface, which is caused by the high frequency incidence. The findings in this paper complement the theories for the AR of acoustic waves with PCs, and may find applications in acoustic engineerings.

Keywords:

References

1. M. S. Kushwaha, P. Halevi, L. Dobrzynski and B. Djafari-Rouhani, Phys. Rev. Lett. 71 (1993) 2022. Web of Science, ADS, Google Scholar
2. M. S. Kushwaha, Mod. Phys. Lett. B 30 (2016) 1630004. Link, Web of Science, ADS, Google Scholar
3. Z. Liu, X. Zhang, Y. Mao, Y. Y. Zhu, Z. Yang, C. T. Chan and P. Sheng, Science 289 (2000) 1734. Web of Science, ADS, Google Scholar
4. K. Tan, H. Huang and C. Sun, Int. J. Impact Eng. 64 (2014) 20. Web of Science, Google Scholar
5. R. Martinez-Sala, J. Sancho, J. V. Sanchez, V. Gomez, J. Llinares and F. Meseguer, Nature 378 (1995) 241. Web of Science, ADS, Google Scholar
6. M. Z. Ke, Z. Y. Liu, C. Y. Qiu, W. G. Wang and J. Shi, Phys. Rev. B 72 (2005) 064306. Web of Science, ADS, Google Scholar
7. N. Yu, P. Genevet, M. A. Kats, F. Aieta, J.-P. Tetienne, F. Capasso and Z. Gaburro, Science 334 (2011) 333. Web of Science, ADS, Google Scholar
8. Y. Li, B. Liang, Z.-M. Gu, X.-Y. Zou and J.-C. Cheng, Sci. Rep. 3 (2013) 2546. Web of Science, Google Scholar
9. K. Tang, C. Qiu, M. Ke, J. Lu, Y. Ye and Z. Liu, Sci. Rep. 4 (2014) 6517. Web of Science, Google Scholar
10. Y. Xie, W. Wang, H. Chen, A. Konneker, B.-I. Popa and S. A. Cummer, Nat. Commun. 5 (2014) 6553. Google Scholar
11. C. Shen, Y. Xie, J. Li, S. A. Cummer and Y. Jing, Appl. Phys. Lett. 108 (2016) 223502. Web of Science, ADS, Google Scholar
12. C. Ding, H. Chen, S. Zhai, S. Liu and X. Zhao, J. Phys. D: Appl. Phys. 48 (2015) 045303. Web of Science, Google Scholar
13. S. Zhai, H. Chen, C. Ding, F. Shen, C. Luo and X. Zhao, Appl. Phys. A 120 (2015) 1283. Web of Science, ADS, Google Scholar
14. X.-P. Wang, L.-L. Wan, T.-N. Chen, A.-L. Song and X.-W. Du, AIP Adv. 6 (2016) 065320. Web of Science, Google Scholar
15. J. Mei and Y. Wu, New J. Phys. 16 (2014) 123007. Web of Science, Google Scholar
16. X. Wang, D. Mao, W. Yu and Z. Jiang, Build. Environ. 93 (2015) 1. Web of Science, Google Scholar
17. Y.-F. Zhu, X.-Y. Zou, R.-Q. Li, X. Jiang, J. Tu, B. Liang and J.-C. Cheng, Sci. Rep. 5 (2015) 10966. Web of Science, ADS, Google Scholar
18. Y.-F. Zhu, X.-Y. Zou, B. Liang and J.-C. Cheng, Appl. Phys. Lett. 106 (2015) 173508. Web of Science, ADS, Google Scholar
19. X. Wu, X. Xia, J. Tian, Z. Liu and W. Wen, Appl. Phys. Lett. 108 (2016) 163502. Web of Science, ADS, Google Scholar
20. H. Zhu and F. Semperlotti, Phys. Rev. Lett. 117 (2016) 034302. Web of Science, ADS, Google Scholar
21. G. Ma, M. Yang, S. Xiao, Z. Yang and P. Sheng, Nat. Mater. 13 (2014) 873. Web of Science, ADS, Google Scholar
22. J. Zhao, B. Li, Z. Chen and C.-W. Qiu, Sci. Rep. 3 (2013) 2537. Web of Science, Google Scholar
23. J. Zhao, B. Li, Z. N. Chen and C.-W. Qiu, Appl. Phys. Lett. 103 (2013) 151604. Web of Science, ADS, Google Scholar
24. H. Esfahlani, S. Karkar, H. Lissek and J. R. Mosig, Phys. Rev. B 94 (2016) 014302. Web of Science, ADS, Google Scholar
25. F. Aieta, M. A. Kats, P. Genevet and F. Capasso, Science 347 (2015) 1342. Web of Science, ADS, Google Scholar
26. L. B. Yan, W. M. Zhu, P. C. Wu, H. Cai, Y. D. Gu, L. K. Chin, Z. X. Shen, P. H. J. Chong, Z. C. Yang, W. Ser, D. P. Tsai and A. Q. Liu, Appl. Phys. Lett. 110 (2017) 201904. Web of Science, ADS, Google Scholar
27. S. Sun, K.-Y. Yang, C.-M. Wang, T.-K. Juan, W. T. Chen, C. Y. Liao, Q. He, S. Xiao, W.-T. Kung, G.-Y. Guo, L. Zhou and D. P. Tsai, Nano Lett. 12 (2012) 6223. Web of Science, ADS, Google Scholar
28. S. Xu, C. Qiu and Z. Liu, J. Appl. Phys. 111 (2012) 094505. Web of Science, Google Scholar
29. R. P. Moiseyenko, S. Herbison, N. F. Declercq and V. Laude, J. Appl. Phys. 111 (2012) 034907. Web of Science, Google Scholar
30. R. P. Moiseyenko, J. Liu, N. F. Declercq and V. Laude, Appl. Phys. Lett. 102 (2013) 034108. Web of Science, Google Scholar
31. D. Zhao, Y. Ye, S. Xu, X. Zhu and L. Yi, Appl. Phys. Lett. 104 (2014) 043503. Web of Science, Google Scholar