中国物理B ›› 2016, Vol. 25 ›› Issue (10): 104301-104301.doi: 10.1088/1674-1056/25/10/104301

所属专题： Virtual Special Topic — Acoustics

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

An acoustic Maxwell's fish-eye lens based on gradient-index metamaterials

Bao-guo Yuan(袁保国), Ye Tian(田野), Ying Cheng(程营), Xiao-jun Liu(刘晓峻)   

  1. 1 Key Laboratory of Modern Acoustics, Nanjing University, Nanjing 210093, China;
    2 Department of Physics, Faculty of Science, Jiangsu University, Zhenjiang 212013, China;
    3 State Key Laboratory of Acoustics, Chinese Academy of Sciences, Beijing 100190, China
  • 收稿日期:2016-02-18 修回日期:2016-06-27 出版日期:2016-10-05 发布日期:2016-10-05
  • 通讯作者: Ying Cheng, Xiao-jun Liu E-mail:chengying@nju.edu.cn;liuxiaojun@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 Nos. 11574148, 11474162, 1274171, 11674172, and 11674175), and the Specialized Research Fund for the Doctoral Program of Higher Education, China (Grant Nos. 20110091120040 and 20120091110001).

An acoustic Maxwell's fish-eye lens based on gradient-index metamaterials

Bao-guo Yuan(袁保国)1,2, Ye Tian(田野)1, Ying Cheng(程营)1,3, Xiao-jun Liu(刘晓峻)1,3   

  1. 1 Key Laboratory of Modern Acoustics, Nanjing University, Nanjing 210093, China;
    2 Department of Physics, Faculty of Science, Jiangsu University, Zhenjiang 212013, China;
    3 State Key Laboratory of Acoustics, Chinese Academy of Sciences, Beijing 100190, China
  • Received:2016-02-18 Revised:2016-06-27 Online:2016-10-05 Published:2016-10-05
  • Contact: Ying Cheng, Xiao-jun Liu E-mail:chengying@nju.edu.cn;liuxiaojun@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 Nos. 11574148, 11474162, 1274171, 11674172, and 11674175), and the Specialized Research Fund for the Doctoral Program of Higher Education, China (Grant Nos. 20110091120040 and 20120091110001).

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摘要： We have proposed a two-dimensional acoustic Maxwell's fish-eye lens by using the gradient-index metamaterials with space-coiling units. By adjusting the structural parameters of the units, the refractive index can be gradually varied, which is key role to design the acoustic fish-eye lens. As predicted by ray trajectories on a virtual sphere, the proposed lens has the capability to focus the acoustic wave irradiated from a point source at the surface of the lens on the diametrically opposite side of the lens. The broadband and low loss performance is further demonstrated for the lens. The proposed acoustic fish-eye lens is expected to have the potential applications in directional acoustic coupler or coherent ultrasonic imaging.

关键词: gradient index, Maxwell', s fish-eye, acoustic lens, broadband

Abstract: We have proposed a two-dimensional acoustic Maxwell's fish-eye lens by using the gradient-index metamaterials with space-coiling units. By adjusting the structural parameters of the units, the refractive index can be gradually varied, which is key role to design the acoustic fish-eye lens. As predicted by ray trajectories on a virtual sphere, the proposed lens has the capability to focus the acoustic wave irradiated from a point source at the surface of the lens on the diametrically opposite side of the lens. The broadband and low loss performance is further demonstrated for the lens. The proposed acoustic fish-eye lens is expected to have the potential applications in directional acoustic coupler or coherent ultrasonic imaging.

Key words: gradient index, Maxwell', s fish-eye, acoustic lens, broadband

中图分类号:  (General linear acoustics)

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