中国物理B ›› 2009, Vol. 18 ›› Issue (3): 1123-1126.doi: 10.1088/1674-1056/18/3/047

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Acoustic elliptical cylindrical cloaks

徐卓1, 马华2, 屈绍波2, 王甲富2   

  1. (1)Electronic Materials Research Laboratory, Key Laboratory of Ministry of Education, Xi'an Jiaotong University, Xi'an 710049, China; (2)The College of Science, Air Force University of Engineering, Xi'an 710051, China
  • 收稿日期:2008-06-26 修回日期:2008-08-21 出版日期:2009-03-20 发布日期:2009-03-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant Nos 50632030, 10474077 and 60871027), the National Basic Research Program of China (Grant No 2009CB613306), and The Innovation Funds of the College of Science, Air Force Universi

Acoustic elliptical cylindrical cloaks

Ma Hua(马华)a)†, Qu Shao-Bo(屈绍波)a), Xu Zhuo(徐卓)b), and Wang Jia-Fu(王甲富)a)   

  1. a The College of Science, Air Force University of Engineering, Xi'an 710051, China; b Electronic Materials Research Laboratory, Key Laboratory of Ministry of Education, Xi'an Jiaotong University, Xi'an 710049, China
  • Received:2008-06-26 Revised:2008-08-21 Online:2009-03-20 Published:2009-03-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos 50632030, 10474077 and 60871027), the National Basic Research Program of China (Grant No 2009CB613306), and The Innovation Funds of the College of Science, Air Force Universi

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摘要： By making a comparison between the acoustic equations and the 2-dimensional (2D) Maxwell equations, we obtain the material parameter equations (MPE) for acoustic elliptical cylindrical cloaks. Both the theoretical results and the numerical results indicate that an elliptical cylindrical cloak can realize perfect acoustic invisibility when the spatial distributions of mass density and bulk modulus are exactly configured according to the proposed equations. The present work is the meaningful exploration of designing acoustic cloaks that are neither sphere nor circular cylinder in shape, and opens up possibilities for making complex and multiplex acoustic cloaks with simple models such as spheres, circular or elliptic cylinders.

关键词: invisibility, cloaks, metamaterials, acoustic waves

Abstract: By making a comparison between the acoustic equations and the 2-dimensional (2D) Maxwell equations, we obtain the material parameter equations (MPE) for acoustic elliptical cylindrical cloaks. Both the theoretical results and the numerical results indicate that an elliptical cylindrical cloak can realize perfect acoustic invisibility when the spatial distributions of mass density and bulk modulus are exactly configured according to the proposed equations. The present work is the meaningful exploration of designing acoustic cloaks that are neither sphere nor circular cylinder in shape, and opens up possibilities for making complex and multiplex acoustic cloaks with simple models such as spheres, circular or elliptic cylinders.

Key words: invisibility, cloaks, metamaterials, acoustic waves

中图分类号:  (Electromagnetic wave propagation; radiowave propagation)

  • 41.20.Jb
03.50.De (Classical electromagnetism, Maxwell equations) 43.20.Bi (Mathematical theory of wave propagation)