中国物理B ›› 2016, Vol. 25 ›› Issue (8): 84702-084702.doi: 10.1088/1674-1056/25/8/084702

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

Achieving acoustic cloak by using compressible background flow

Ruo-Yang Zhang(张若洋), Qing Zhao(赵清), Mo-Lin Ge(葛墨林)   

  1. 1 Theoretical Physics Division, Chern Institute of Mathematics, Nankai University, Tianjin 300071, China;
    2 School of Physics, Beijing Institute of Technology, Beijing 100081, China
  • 收稿日期:2016-03-01 修回日期:2016-04-10 出版日期:2016-08-05 发布日期:2016-08-05
  • 通讯作者: Mo-Lin Ge E-mail:geml@nankai.edu.cn
  • 基金资助:

    Project supported by the National Natural Science Foundation of China (Grant Nos. 11475088 and 11275024) and the Fund from the Ministry of Science and Technology of China (Grant No. 2013YQ030595-3).

Achieving acoustic cloak by using compressible background flow

Ruo-Yang Zhang(张若洋)1, Qing Zhao(赵清)2, Mo-Lin Ge(葛墨林)1,2   

  1. 1 Theoretical Physics Division, Chern Institute of Mathematics, Nankai University, Tianjin 300071, China;
    2 School of Physics, Beijing Institute of Technology, Beijing 100081, China
  • Received:2016-03-01 Revised:2016-04-10 Online:2016-08-05 Published:2016-08-05
  • Contact: Mo-Lin Ge E-mail:geml@nankai.edu.cn
  • Supported by:

    Project supported by the National Natural Science Foundation of China (Grant Nos. 11475088 and 11275024) and the Fund from the Ministry of Science and Technology of China (Grant No. 2013YQ030595-3).

摘要:

We propose a scheme of acoustic spherical cloaking by means of background irrotational flow in compressible fluid. The background flow forms a virtual curved spacetime and directs the sound waves to bypass the cloaked objects. To satisfy the laws of real fluid, we show that spatially distributed mass source and momentum source are necessary to supply. The propagation of sound waves in this system is studied via both geometric acoustics approximation and full wave approach. The analytic solution of sound fields is obtained for plane wave incidence. The results reveal the effect of phase retardation (or lead) in comparison with the ordinary transformation-acoustic cloak. In addition, the ability of cloaking is also evaluated for unideal background flows by analyzing the scattering cross section.

关键词: invisibility cloaking, transformation acoustics, compressible flow

Abstract:

We propose a scheme of acoustic spherical cloaking by means of background irrotational flow in compressible fluid. The background flow forms a virtual curved spacetime and directs the sound waves to bypass the cloaked objects. To satisfy the laws of real fluid, we show that spatially distributed mass source and momentum source are necessary to supply. The propagation of sound waves in this system is studied via both geometric acoustics approximation and full wave approach. The analytic solution of sound fields is obtained for plane wave incidence. The results reveal the effect of phase retardation (or lead) in comparison with the ordinary transformation-acoustic cloak. In addition, the ability of cloaking is also evaluated for unideal background flows by analyzing the scattering cross section.

Key words: invisibility cloaking, transformation acoustics, compressible flow

中图分类号:  (Sound waves)

  • 47.35.Rs
47.40.-x (Compressible flows; shock waves)