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Chin. Phys. B, 2023, Vol. 32(4): 044301    DOI: 10.1088/1674-1056/ac9783

Nonlinear wave propagation in acoustic metamaterials with bilinear nonlinearity

Shiqi Liang(梁诗琪)1, Jiehui Liu(刘杰惠)1, Yun Lai(赖耘)1,†, and Xiaozhou Liu(刘晓宙)1,2,‡
1 Key Laboratory of Modern Acoustics, Institute of Acoustics and School of Physics, Collaborative Innovation Center of Advanced Microstructures, Nanjing University, Nanjing 210093, China;
2 State Key Laboratory of Acoustics, Institute of Acoustics, Chinese Academy of Sciences, Beijing 100190, China
Abstract  Nonlinear phononic crystals have attracted great interest because of their unique properties absent in linear phononic crystals. However, few researches have considered the bilinear nonlinearity as well as its consequences in acoustic metamaterials. Hence, we introduce bilinear nonlinearity into acoustic metamaterials, and investigate the propagation behaviors of the fundamental and the second harmonic waves in the nonlinear acoustic metamaterials by discretization method, revealing the influence of the system parameters. Furthermore, we investigate the influence of partially periodic nonlinear acoustic metamaterials on the second harmonic wave propagation, and the results suggest that pass-band and band-gap can be transformed into each other under certain conditions. Our findings could be beneficial to the band gap control in nonlinear acoustic metamaterials.
Keywords:  bilinear nonlinearity      phononic crystal      band-gap manipulation      nonlinear acoustic metamaterial  
Received:  06 August 2022      Revised:  27 September 2022      Accepted manuscript online:  05 October 2022
PACS:  43.25.+y (Nonlinear acoustics)  
  43.25.Ed (Effect of nonlinearity on velocity and attenuation)  
  43.35.-c (Ultrasonics, quantum acoustics, and physical effects of sound)  
Fund: Project supported by the National Key Research and Development program of China (Grant No. 2020YFA0211400), the State Key Program of the National Natural Science of China (Grant No. 11834008), the National Natural Science Foundation of China (Grant No. 12174192), the Fund from the State Key Laboratory of Acoustics, Chinese Academy of Sciences (Grant No. SKLA202008), and the Fund from the Key Laboratory of Underwater Acoustic Environment, Chinese Academy of Sciences (Grant No. SSHJ-KFKT-1701).
Corresponding Authors:  Yun Lai, Xiaozhou Liu     E-mail:;

Cite this article: 

Shiqi Liang(梁诗琪), Jiehui Liu(刘杰惠), Yun Lai(赖耘), and Xiaozhou Liu(刘晓宙) Nonlinear wave propagation in acoustic metamaterials with bilinear nonlinearity 2023 Chin. Phys. B 32 044301

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