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基于等效介质理论, 提出了具有共焦层状结构的椭圆柱形声隐身衣设计方法. 理论分析与有限元数值模拟表明, 所设计隐身衣依然具有完美隐身衣典型特征, 可使刚性圆柱体散射场明显减小, 并且在隐身衣区域表现出波阵面弯曲的特性, 同时在隐身衣外部波阵面保持不变. 增加隐身衣离散层数可以拓宽其有效工作频带, 改善隐身效果. 由于是一种线变换隐身衣, 隐身效果受到了入射波方向的影响, 只有当入射波方向与椭圆长轴平行时效果最佳. 另外当椭圆柱焦距非常小的时候, 可近似认为是圆柱形隐身衣. 仿真实验结果证明了方法的正确性. 该研究为实现复杂形状声隐身衣提供了一种有效途径.A layered co-focal elliptical-cylindrical acoustic cloak is designed based on the effective medium theory. The distribution of acoustic field is simulated using the finite element method. The cloak possesses the properties of low-reflection outside and wavefront-bending in the cloak shell. The relationship between the cloaking effect and the number of discrete layers, the direction of incident wave are also investigated. The effective working frequency band can be broadened by using more layers. As the cloak is of a line-transformed type, its properties are associated with the direction of incident wave. Only when the incident wave is parallel to the major axis of the ellipse, can the cloak have the best performance. In addition, the cloak is of a cylindrical structure as the focus of the ellipse-cylinder is small enough. This work is expected to be helpful for realizing acoustic cloaks with complex shapes.
[1] Chen H Y, Chan C T 2010 J. Phys. D: Appl. Phys. 43 113001
[2] Cummer S A, Schurig D 2007 New J. Phys. 9 45
[3] Chen H Y, Chan C T 2007 Appl. Phys. Lett. 91 183518
[4] Pendry J B, Schurig D, Smith D R 2006 Science 312 1780
[5] Norris A N 2008 Proc. R. Soc. A 464 2411
[6] Milton G W, Briane M, Willis J R 2006 New J. Phys. 8 248
[7] Liu Z Y, Zhang X X, Mao Y W, Zhu Y Y, Yang Z Y, Chan C T, Sheng P 2000 Science 289 1734
[8] Fang N, Xi D J, Xu J Y, Ambati M, Srituravanich W, Sun C, Zhang X 2006 Nature Mater. 5 452
[9] Torrent D, Sánchez-Dehesa J 2008 New J. Phys. 10 023004
[10] Zhang S, Xia C G, Fang N 2011 Phys. Rev. Lett. 106 024301
[11] Torrent D, Sánchez-Dehesa J 2008 New J. Phys. 10 063015
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[18] Wang Z X, Guo D R 2006 Introduction to Special Function (Beijing: Peking University Press) p651 (in Chinese) [王竹溪, 郭敦仁 2006 特殊函数概论 (北京: 北京大学出版社) 第651页]
[19] Schoenberg M, Sen P N 1983 J. Acoust. Soc. Am. 73 61
[20] Chen H Y, Yang T, Luo X D, Ma H R 2008 Chin. Phys. Lett. 25 3696
[21] Wang X H, Qu S B, Xia S Wang B K, Xu Z, Ma H, Wang J F, Gu C, Wu X, Lu L, Zhou H 2010 Chin. Phys. B 19 064101
[22] Jiang W X, Ma H F, Cheng Q, Cui T J 2010 J. Appl. Phys. 107 034911
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[1] Chen H Y, Chan C T 2010 J. Phys. D: Appl. Phys. 43 113001
[2] Cummer S A, Schurig D 2007 New J. Phys. 9 45
[3] Chen H Y, Chan C T 2007 Appl. Phys. Lett. 91 183518
[4] Pendry J B, Schurig D, Smith D R 2006 Science 312 1780
[5] Norris A N 2008 Proc. R. Soc. A 464 2411
[6] Milton G W, Briane M, Willis J R 2006 New J. Phys. 8 248
[7] Liu Z Y, Zhang X X, Mao Y W, Zhu Y Y, Yang Z Y, Chan C T, Sheng P 2000 Science 289 1734
[8] Fang N, Xi D J, Xu J Y, Ambati M, Srituravanich W, Sun C, Zhang X 2006 Nature Mater. 5 452
[9] Torrent D, Sánchez-Dehesa J 2008 New J. Phys. 10 023004
[10] Zhang S, Xia C G, Fang N 2011 Phys. Rev. Lett. 106 024301
[11] Torrent D, Sánchez-Dehesa J 2008 New J. Phys. 10 063015
[12] Cheng Y, Yang F, Xu J Y, Liu X J 2008 Appl. Phys. Lett. 92 151913
[13] Norris A N, Nagy A J 2010 J. Acoust. Soc. Am. 128 1606
[14] Urzhumov Y, Ghezzo F, Hunt J, Smith D R 2010 New J. Phys. 12 073014
[15] Ma H, Qu S B, Zhang J Q, Chen B W, Wang J F 2008 Phys. Rev. A 77 013825
[16] Ma H, Qu S B, Xu Z, Zhang J Q, Wang J F 2009 Chin. Phys. B 18 1123
[17] Ma H, Qu S B, Xu Z, Zhang J Q, Wang J F 2009 Chin. Phys. B 18 179
[18] Wang Z X, Guo D R 2006 Introduction to Special Function (Beijing: Peking University Press) p651 (in Chinese) [王竹溪, 郭敦仁 2006 特殊函数概论 (北京: 北京大学出版社) 第651页]
[19] Schoenberg M, Sen P N 1983 J. Acoust. Soc. Am. 73 61
[20] Chen H Y, Yang T, Luo X D, Ma H R 2008 Chin. Phys. Lett. 25 3696
[21] Wang X H, Qu S B, Xia S Wang B K, Xu Z, Ma H, Wang J F, Gu C, Wu X, Lu L, Zhou H 2010 Chin. Phys. B 19 064101
[22] Jiang W X, Ma H F, Cheng Q, Cui T J 2010 J. Appl. Phys. 107 034911
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