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提出了一种基于局域共振的开口空心球(spilt hollow spheres,SHS)模型,数值计算和声学透射实验结果表明基于该模型的声学超材料可以实现负的弹性模量.为了说明SHS的局域共振性质,研究了微结构SHS几何尺寸(例如开口孔径d和空心球直径D)变化时材料的透射性质,结果表明SHS的几何尺寸的改变对声学超材料的透射吸收峰频率有显著影响.另外,还研究了SHS不同排列方式对透射行为的影响,发现单层样品中SHS单元数目以及晶格常数的变化不会引起谐振频率的变化,但是随着SHS单元数目或者样品
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关键词:
- 开口空心球(SHS) /
- 声学超材料 /
- 吸收峰 /
- 等效弹性模量
We propose an acoustic metamaterial (AM) composed of local resonant split hollow sphere (SHS). The results of numerical simulation and acoustic experiment show that the effective modulus of the AM with SHS is negative. To further investigate the intrinsic resonant mechanism of the SHS, we study the transmission of the AM by adjusting the geometry sizes of the SHS, such as the diameter of split hole and the diameter of hollow sphere. It is found that the geometry sizes of SHS will greatly affect the frequency of transmission dip, say, the resonant frequency. Moreover, we investigate the effects of the arrangement in AM on transmission feature. When the lattice constant and the number of SHSs change, the frequency range of resonance in the single-layer AM keeps unchanged. However, the resonant intensity of AM becomes stronger with the increase of the number of SHSs in single layer and the number of SHS layers.[1] Pendry J B 1996 Phys. Rev. Lett. 76 4773
[2] Pendry J B, Holden A J, Robbins D J, Stewart W J 1999 IEEE Trans. Microwave Theory. Tech 47 2075
[3] Shelby R A, Smith D R, Schultz S 2001 Science 292 77
[4] Zhou X, Fu Q H, Zhao J, Yang Y, Zhao X P 2006 Opt. Express 14 7188
[5] Liu Y H, Luo C R, Zhao X P 2007 Acta Phys. Sin. 56 5883 (in Chinese) [刘亚红、罗春荣、赵晓鹏 2007 56 5883]
[6] Zhu W R, Zhao X P 2009 Chin. Phys. Lett. 26 074212
[7] Zhou X, Zhao X P, Liu Y, 2008 Opt. Express 16 7674
[8] Liu H Y, lv Q, Luo H L, Wen S C 2010 Acta Phys. Sin. 59 256 (in Chinese) [刘虹遥、吕 强、罗海陆、文双春 2010 59 256]
[9] Liu H, Zhao X P, Yang Y, Li Q W, Lv J 2008 Adv. Mater. 20 2050
[10] Liu B Q, Zhao X P, Zhu W R, Luo W, Cheng X C 2008 Adv. Funct. Mater. 18 3523
[11] Seddon N, Bearpark T 2003 Science 302 1537
[12] Zhou J H, Liu H Y, Luo H L, Wen S C 2008 Acta Phys. Sin. 57 7729 (in Chinese) [周建华、刘虹遥、罗海陆、文双春 2008 57 7729]
[13] Valentine J, Li J, Zentgraf T, Bartal G, Zhang X 2009 Nat. Mater. 8 568
[14] Ma H, Qu S B, Xu Z, Zhang J Q, Wang J F 2009 Chin. Phys. B 18 1025
[15] Liu Z Y, Zhang X, Mao Y, Zhu Y Y, Yang Z, Chan C T, Sheng P 2000 Science 289 1734
[16] Liu Z Y, Chan C T, Sheng P 2005 Phys. Rev. B 71 014103
[17] Yang Z, Mei J, Yang M, Chan N H, Sheng P 2008 Phys. Rev. Lett. 101 204301
[18] Yang Z, Dai H M, Chan N H, Ma G C, Sheng P 2010 Appl. Phys. Lett. 96 041906
[19] Fang N, Xi D, Xu J, Ambati M, Srituravanich W, Sun C, Zhang X 2006 Nat. Mater. 5 452
[20] Lee S H, Park C M, Seo Y M, Wang Z G, Kim C K 2009 J. Phys.: Condens. Matter. 21 175704
[21] Cheng Y, Xu J Y, Liu X J 2008 Phys. Rev. B 77 045134
[22] Ding C L, Zhao X P 2009 Acta Phys. Sin. 58 6351 (in Chinese) [丁昌林、赵晓鹏 2009 58 6351]
[23] Li J S, Chan C T 2004 Phys. Rev. E 70 055602
[24] Ding Y Q, Liu Z Y, Qiu C Y, Shi J 2007 Phys. Rev. Lett. 99 093904
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[1] Pendry J B 1996 Phys. Rev. Lett. 76 4773
[2] Pendry J B, Holden A J, Robbins D J, Stewart W J 1999 IEEE Trans. Microwave Theory. Tech 47 2075
[3] Shelby R A, Smith D R, Schultz S 2001 Science 292 77
[4] Zhou X, Fu Q H, Zhao J, Yang Y, Zhao X P 2006 Opt. Express 14 7188
[5] Liu Y H, Luo C R, Zhao X P 2007 Acta Phys. Sin. 56 5883 (in Chinese) [刘亚红、罗春荣、赵晓鹏 2007 56 5883]
[6] Zhu W R, Zhao X P 2009 Chin. Phys. Lett. 26 074212
[7] Zhou X, Zhao X P, Liu Y, 2008 Opt. Express 16 7674
[8] Liu H Y, lv Q, Luo H L, Wen S C 2010 Acta Phys. Sin. 59 256 (in Chinese) [刘虹遥、吕 强、罗海陆、文双春 2010 59 256]
[9] Liu H, Zhao X P, Yang Y, Li Q W, Lv J 2008 Adv. Mater. 20 2050
[10] Liu B Q, Zhao X P, Zhu W R, Luo W, Cheng X C 2008 Adv. Funct. Mater. 18 3523
[11] Seddon N, Bearpark T 2003 Science 302 1537
[12] Zhou J H, Liu H Y, Luo H L, Wen S C 2008 Acta Phys. Sin. 57 7729 (in Chinese) [周建华、刘虹遥、罗海陆、文双春 2008 57 7729]
[13] Valentine J, Li J, Zentgraf T, Bartal G, Zhang X 2009 Nat. Mater. 8 568
[14] Ma H, Qu S B, Xu Z, Zhang J Q, Wang J F 2009 Chin. Phys. B 18 1025
[15] Liu Z Y, Zhang X, Mao Y, Zhu Y Y, Yang Z, Chan C T, Sheng P 2000 Science 289 1734
[16] Liu Z Y, Chan C T, Sheng P 2005 Phys. Rev. B 71 014103
[17] Yang Z, Mei J, Yang M, Chan N H, Sheng P 2008 Phys. Rev. Lett. 101 204301
[18] Yang Z, Dai H M, Chan N H, Ma G C, Sheng P 2010 Appl. Phys. Lett. 96 041906
[19] Fang N, Xi D, Xu J, Ambati M, Srituravanich W, Sun C, Zhang X 2006 Nat. Mater. 5 452
[20] Lee S H, Park C M, Seo Y M, Wang Z G, Kim C K 2009 J. Phys.: Condens. Matter. 21 175704
[21] Cheng Y, Xu J Y, Liu X J 2008 Phys. Rev. B 77 045134
[22] Ding C L, Zhao X P 2009 Acta Phys. Sin. 58 6351 (in Chinese) [丁昌林、赵晓鹏 2009 58 6351]
[23] Li J S, Chan C T 2004 Phys. Rev. E 70 055602
[24] Ding Y Q, Liu Z Y, Qiu C Y, Shi J 2007 Phys. Rev. Lett. 99 093904
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