›› 2015, Vol. 24 ›› Issue (2): 24301-024301.doi: 10.1088/1674-1056/24/2/024301

• ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS • 上一篇    下一篇

Controlling an acoustic wave with a cylindrically-symmetric gradient-index system

张哲a b, 李睿奇a, 梁彬a c, 邹欣晔a, 程建春a b   

  1. a Key Laboratory of Modern Acoustics, Ministry of Education, and Institute of Acoustics, Department of Physics, Nanjing University, Nanjing 210093, China;
    b Key Laboratory of Noise and Vibration Research, Institute of Acoustics, Chinese Academy of Sciences, Beijing 100190, China;
    c Imaging Technology Group, Beckman Institute, University of Illinois at Urbana-Champaign, Urbana, Illinois 61801, USA
  • 收稿日期:2014-05-20 修回日期:2014-08-12 出版日期:2015-02-05 发布日期:2015-02-05
  • 基金资助:
    Project supported by the National Basic Research Program of China (Grant Nos. 2010CB327803 and 2012CB921504), the National Natural Science Foundation of China (Grant Nos. 11174138, 11174139, 11222442, 81127901, and 11274168), {NCET-12-0254}, and the Project Funded by the Priority Academic Program Development of Jiangsu Higher Education Institutions, China.

Controlling an acoustic wave with a cylindrically-symmetric gradient-index system

Zhang Zhe (张哲)a b, Li Rui-Qi (李睿奇)a, Liang Bin (梁彬)a c, Zou Xin-Ye (邹欣晔)a, Cheng Jian-Chun (程建春)a b   

  1. a Key Laboratory of Modern Acoustics, Ministry of Education, and Institute of Acoustics, Department of Physics, Nanjing University, Nanjing 210093, China;
    b Key Laboratory of Noise and Vibration Research, Institute of Acoustics, Chinese Academy of Sciences, Beijing 100190, China;
    c Imaging Technology Group, Beckman Institute, University of Illinois at Urbana-Champaign, Urbana, Illinois 61801, USA
  • Received:2014-05-20 Revised:2014-08-12 Online:2015-02-05 Published:2015-02-05
  • Contact: Cheng Jian-Chun E-mail:jccheng@nju.edu.cn
  • Supported by:
    Project supported by the National Basic Research Program of China (Grant Nos. 2010CB327803 and 2012CB921504), the National Natural Science Foundation of China (Grant Nos. 11174138, 11174139, 11222442, 81127901, and 11274168), {NCET-12-0254}, and the Project Funded by the Priority Academic Program Development of Jiangsu Higher Education Institutions, China.

摘要: We present a detailed theoretical description of wave propagation in an acoustic gradient-index system with cylindrical symmetry and demonstrate its potential to numerically control acoustic waves in different ways. The trajectory of an acoustic wave within the system is derived by employing the theory of geometric acoustics, and the validity of the theoretical descriptions is verified numerically by using the finite element method simulation. The results show that by tailoring the distribution function of the refractive index, the proposed system can yield a tunable manipulation of acoustic waves, such as acoustic bending, trapping, and absorbing.

关键词: gradient-index media, wave propagation, acoustic refractive index, wave manipulation

Abstract: We present a detailed theoretical description of wave propagation in an acoustic gradient-index system with cylindrical symmetry and demonstrate its potential to numerically control acoustic waves in different ways. The trajectory of an acoustic wave within the system is derived by employing the theory of geometric acoustics, and the validity of the theoretical descriptions is verified numerically by using the finite element method simulation. The results show that by tailoring the distribution function of the refractive index, the proposed system can yield a tunable manipulation of acoustic waves, such as acoustic bending, trapping, and absorbing.

Key words: gradient-index media, wave propagation, acoustic refractive index, wave manipulation

中图分类号:  (General linear acoustics)

  • 43.20.+g
43.20.Bi (Mathematical theory of wave propagation) 43.20.Dk (Ray acoustics)