中国物理B ›› 2016, Vol. 25 ›› Issue (12): 124305-124305.doi: 10.1088/1674-1056/25/12/124305

• SPECIAL TOPIC—Acoustics • 上一篇    下一篇

An acoustic bending waveguide designed by anisotropic density-near-zero metamaterial

Yang-Yang Wang(王洋洋), Er-Liang Ding(丁二亮), Xiao-Zhou Liu(刘晓宙), Xiu-Fen Gong(龚秀芬)   

  1. 1. Key Laboratory of Modern Acoustics, Institute of Acoustics, Nanjing University, Nanjing 210093, China;
    2. State Key Laboratory of Acoustics, Institute of Acoustics, Chinese Academy of Sciences, Beijing 100190, China
  • 收稿日期:2016-03-08 修回日期:2016-05-24 出版日期:2016-12-05 发布日期:2016-12-05
  • 通讯作者: Xiao-Zhou Liu E-mail:xzliu@nju.edu.cn
  • 基金资助:

    Project supported by the National Basic Research Program of China (Grant No. 2012CB921504), the National Natural Science Foundation of China (Grant No. 11474160), the Fundamental Research Funds for the Central Universities, China (Grant No. 020414380001), the State Key Laboratory of Acoustics, Chinese Academy of Sciences (Grant No. SKLA201609), and the Priority Academic Program Development of Jiangsu Higher Education Institution, China.

An acoustic bending waveguide designed by anisotropic density-near-zero metamaterial

Yang-Yang Wang(王洋洋)1, Er-Liang Ding(丁二亮)1, Xiao-Zhou Liu(刘晓宙)1,2, Xiu-Fen Gong(龚秀芬)1   

  1. 1. Key Laboratory of Modern Acoustics, Institute of Acoustics, Nanjing University, Nanjing 210093, China;
    2. State Key Laboratory of Acoustics, Institute of Acoustics, Chinese Academy of Sciences, Beijing 100190, China
  • Received:2016-03-08 Revised:2016-05-24 Online:2016-12-05 Published:2016-12-05
  • Contact: Xiao-Zhou Liu E-mail:xzliu@nju.edu.cn
  • Supported by:

    Project supported by the National Basic Research Program of China (Grant No. 2012CB921504), the National Natural Science Foundation of China (Grant No. 11474160), the Fundamental Research Funds for the Central Universities, China (Grant No. 020414380001), the State Key Laboratory of Acoustics, Chinese Academy of Sciences (Grant No. SKLA201609), and the Priority Academic Program Development of Jiangsu Higher Education Institution, China.

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摘要：

Anisotropic metamaterial with only one component of the mass density tensor near zero (ADNZ) is proposed to control the sound wave propagation. We find that such an anisotropic metamaterial can be used to realize perfect bending waveguides. According to a coordinate transformation, the surface waves on the input and output interfaces of the ADNZ metamaterial induces the sound energy flow to be redistributed and match smoothly with the propagating modes inside the metamaterial waveguide. According to the theory of bending waveguide, we realize the“T”-type sound shunting and convergence, as well as acoustic channel selection by embedding small-sized defects. Numerical calculations are performed to confirm the above effects.

关键词: acoustic bending waveguide, anisotropic metamaterials, mass density tensor near zero

Abstract:

Anisotropic metamaterial with only one component of the mass density tensor near zero (ADNZ) is proposed to control the sound wave propagation. We find that such an anisotropic metamaterial can be used to realize perfect bending waveguides. According to a coordinate transformation, the surface waves on the input and output interfaces of the ADNZ metamaterial induces the sound energy flow to be redistributed and match smoothly with the propagating modes inside the metamaterial waveguide. According to the theory of bending waveguide, we realize the“T”-type sound shunting and convergence, as well as acoustic channel selection by embedding small-sized defects. Numerical calculations are performed to confirm the above effects.

Key words: acoustic bending waveguide, anisotropic metamaterials, mass density tensor near zero

中图分类号:  (General linear acoustics)

  • 43.20.+g
43.35.+d (Ultrasonics, quantum acoustics, and physical effects of sound) 46.40.-f (Vibrations and mechanical waves)