Zero-refractive-index materials may lead to promising applications in various fields. Here, we design and fabricate a near Zero-Refractive-Index (ZRI) material using a phononic crystal (PC) composed of a square array of densely packed square iron rods in air. The dispersion relation exhibits a nearly flat band across the Brillouin zone at the reduced frequency f = 0.5443c/a, which is due to Fabry-Perot (FP) resonance. By using a retrieval method, we find that both the effective mass density and the reciprocal of the effective bulk modulus are close to zero at frequencies near the flat band. We also propose an equivalent tube network model to explain the mechanisms of the near ZRI effect. This FP-resonance-induced near ZRI material offers intriguing wave manipulation properties. We demonstrate both numerically and experimentally its ability to shield a scattering obstacle and guide acoustic waves through a bent structure.
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21 April 2014
Research Article|
April 22 2014
Acoustic cloaking by a near-zero-index phononic crystal
Li-Yang Zheng;
Li-Yang Zheng
1
National Laboratory of Solid State Microstructures and Department of Materials Science and Engineering, Nanjing University
, Nanjing 210093, China
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Ying Wu;
Ying Wu
2Computer, Electrical and Mathematical Sciences and Engineering,
King Abdullah University of Science and Technology (KAUST)
, Thuwal 23955-6900, Saudi Arabia
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Xu Ni;
Xu Ni
1
National Laboratory of Solid State Microstructures and Department of Materials Science and Engineering, Nanjing University
, Nanjing 210093, China
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Ze-Guo Chen;
Ze-Guo Chen
1
National Laboratory of Solid State Microstructures and Department of Materials Science and Engineering, Nanjing University
, Nanjing 210093, China
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Ming-Hui Lu;
Ming-Hui Lu
a)
1
National Laboratory of Solid State Microstructures and Department of Materials Science and Engineering, Nanjing University
, Nanjing 210093, China
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Yan-Feng Chen
Yan-Feng Chen
1
National Laboratory of Solid State Microstructures and Department of Materials Science and Engineering, Nanjing University
, Nanjing 210093, China
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Li-Yang Zheng
1
Ying Wu
2
Xu Ni
1
Ze-Guo Chen
1
Ming-Hui Lu
1,a)
Yan-Feng Chen
1
1
National Laboratory of Solid State Microstructures and Department of Materials Science and Engineering, Nanjing University
, Nanjing 210093, China
2Computer, Electrical and Mathematical Sciences and Engineering,
King Abdullah University of Science and Technology (KAUST)
, Thuwal 23955-6900, Saudi Arabia
a)
Author to whom correspondence should be addressed. Electronic mail: [email protected].
Appl. Phys. Lett. 104, 161904 (2014)
Article history
Received:
March 11 2014
Accepted:
April 14 2014
Citation
Li-Yang Zheng, Ying Wu, Xu Ni, Ze-Guo Chen, Ming-Hui Lu, Yan-Feng Chen; Acoustic cloaking by a near-zero-index phononic crystal. Appl. Phys. Lett. 21 April 2014; 104 (16): 161904. https://doi.org/10.1063/1.4873354
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