局域共振型声学超材料机理探讨

刘娇; 侯志林; 傅秀军

doi:10.7498/aps.64.154302

摘要

本文以二维固体薄板中的弹性波传播为例, 对基于共振子结构的声学超材料带隙机理进行了探讨, 证明在声学超材料中带隙形成既与共振子对波的散射相位有关, 也与波在共振体之间的几何传播相位有关. 通过调节散射相位和几何传播相位均能实现对色散关系的调控. 基于这一理解, 探究了弹性波超材料中的次波长缺陷态和负折射现象的实现条件.

关键词:

声学超材料 /
负折射 /
缺陷态

Taking the flexural wave propagating in elastic thin plate as an example, we investigate the mechanism for gap opening in the resonator-based acoustic metamaterials. Results show that the band gap in such a kind of structure depends not only on the abrupt phase change of the wave when it is scattered by the resonators, but also on the retarded phase of wave when it is propagating in host. This means that the dispersion of wave in the structure can be adjusted either by the scattering or by the propagating phase. Based on this understanding, we show that the defect state at subwavelength scale (obtained either by changing locally the resonating property of the resonator or by changing locally the distance between the resonators) can be understood simply by the band gap condition. We show further in this paper that, because the dispersion of the metamaterial can be adjusted by the propagating phase, the structures with negative band at a subwavelength scale can also be achieved by arranging the resonators into a compound lattice.

Keywords:

作者及机构信息

1.
华南理工大学物理系, 广州 510640

基金项目: 国家自然科学基金(批准号: 11274121)资助的课题.

Authors and contacts

1.
Department of Physics, South China University of Physics, Guangzhou 510640, China

Funds: Project supported by the National Natural Science Foundation of China (Grant No. 11274121).

参考文献

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[7]	Lee S H, Park C M, Seo Y M, Wang Z G, Kim C K 2010 Phys. Rev. Lett. 104 054301
[8]	Yang Z, Mei J, Yang M, Chan N H, Sheng P 2008 Phys. Rev. Lett. 101 204301
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[18]	Vasseur J O, Deymier P A, Djafari-Rouhani B, Pennec Y, Hladky-Hennion A C 2008 Phys. Rev. B 77 085415
[19]	Khelif A, Choujaa A, Benchabane S, Djafari-Rouhani B, Laude V 2004 Appl. Phys. Lett. 84 4400
[20]	Achaoui Y, Laude V, Benchabane S, Khelif A 2013 J. Appl. Phys. 114 104503
[21]	Rupin M, Lemoult F, Lerosey G, Roux P 2014 Phys. Rev. Lett. 112 234301
[22]	Pourabolghasem R, Khelif A, Mohammadi S, Eftekhar A A, Adibi A 2014 J. Appl. Phys. 116 013514
[23]	Lemoult F, Kaina N, Fink M, Lerosey G 2013 Nature Phys. 9 55
[24]	Liu M, Hou Z L, Fu X J 2012 Acta Phys. Sin. 61 104302 (in Chinese) [刘敏, 侯志林, 傅秀军 2012 61 104302]
[25]	Larabi H, Pennec Y, Djafari-Rouhani B, Vasseur J O 2007 Phys. Rev. E 75 066601
[26]	Sainidou R, Stefanou N 2006 Phys. Rev. B 73 184301
[27]	Oudich M, Assouar M B, Hou Z L 2010 Appl. Phys. Lett. 97 193503
[28]	Torrent D, Mayou D, Sanchez-Dehesa J 2013 Phys. Rev. B 87 115143
[29]	Xiao Y, Wen J H, Wen X S 2012 J. Phys. D. Appl. Phys. 45 195401
[30]	Colombi A, Roux P, Rupin M 2014 J. Acoust. Soc. Am. 136 EL192
[31]	Hou L N, Hou Z L, Fu X J 2014 Acta Phys. Sin. 63 034305 (in Chinese) [侯丽娜, 侯志林, 傅秀军 2014 63 034305]
[32]	Yang M, Ma G C, Yang Z Y, and Sheng P 2013 Phys. Rev. Letts. 110 134301

施引文献

[1]	Shelby R A, Smith D R, Schultz S 2001 Science 292 77
[2]	Schurig D, Mock J J, Justice B J, Cummer S A, Pendry J B, Starr A F, Smith D R 2006 Science 314 977
[3]	Smith D R, Padilla W J, Vier D C, Nemat-Nasser S C, Schultz S 2000 Phys. Rev. Lett. 84 4184
[4]	Fang N, Xi D J, Xu J Y, Ambati M, Srituravanich W, Sun C, Zhang X 2006 Nature Materials. 5 452
[5]	Sheng P, Mei J, Liu Z Y, Wen W J 2007 Phys. B 394 256
[6]	Li J S, Chan C T 2004 Phys. Rev. E 70 055602
[7]	Lee S H, Park C M, Seo Y M, Wang Z G, Kim C K 2010 Phys. Rev. Lett. 104 054301
[8]	Yang Z, Mei J, Yang M, Chan N H, Sheng P 2008 Phys. Rev. Lett. 101 204301
[9]	Torrent D, Sanchez-Dehesa J 2007 New. J. Phys. 9 323
[10]	Deng K, Ding Y Q, He Z J, Zhao H P, Shi J, Liu Z Y 2009 J. Appl. Phys. 105 124909
[11]	Ambati M, Fang N, Sun C, Zhang X 2007 Phys. Rev. B 75 195447
[12]	Farhat M, Enoch S, Guenneau S, Movchan A B 2008 Phys. Rev. Lett. 101 134501
[13]	Kushwaha M S, Halevi P, Dobrzynski L, Djafari-Rouhani B 1993 Phys. Rev. Lett. 71 2022
[14]	Liu Z Y, Zhang X X, Mao Y W, Zhu Y Y, Yang Z Y, Chan C T, Sheng P 2000 Science 289 1734
[15]	Wu F G, Liu Z Y, Liu Y Y 2004 Phys. Rev. E 69 066609
[16]	Wu F G, Hou Z L, Liu Z Y, Liu Y Y 2001 Phys. Lett. A 292 198
[17]	Vasseur J O, Hladky-Hennion A C, Djafari-Rouhani B, Duval F, Dubus B, Pennec Y, Deymier P A 2007 J. Appl. Phys. 101 114904
[18]	Vasseur J O, Deymier P A, Djafari-Rouhani B, Pennec Y, Hladky-Hennion A C 2008 Phys. Rev. B 77 085415
[19]	Khelif A, Choujaa A, Benchabane S, Djafari-Rouhani B, Laude V 2004 Appl. Phys. Lett. 84 4400
[20]	Achaoui Y, Laude V, Benchabane S, Khelif A 2013 J. Appl. Phys. 114 104503
[21]	Rupin M, Lemoult F, Lerosey G, Roux P 2014 Phys. Rev. Lett. 112 234301
[22]	Pourabolghasem R, Khelif A, Mohammadi S, Eftekhar A A, Adibi A 2014 J. Appl. Phys. 116 013514
[23]	Lemoult F, Kaina N, Fink M, Lerosey G 2013 Nature Phys. 9 55
[24]	Liu M, Hou Z L, Fu X J 2012 Acta Phys. Sin. 61 104302 (in Chinese) [刘敏, 侯志林, 傅秀军 2012 61 104302]
[25]	Larabi H, Pennec Y, Djafari-Rouhani B, Vasseur J O 2007 Phys. Rev. E 75 066601
[26]	Sainidou R, Stefanou N 2006 Phys. Rev. B 73 184301
[27]	Oudich M, Assouar M B, Hou Z L 2010 Appl. Phys. Lett. 97 193503
[28]	Torrent D, Mayou D, Sanchez-Dehesa J 2013 Phys. Rev. B 87 115143
[29]	Xiao Y, Wen J H, Wen X S 2012 J. Phys. D. Appl. Phys. 45 195401
[30]	Colombi A, Roux P, Rupin M 2014 J. Acoust. Soc. Am. 136 EL192
[31]	Hou L N, Hou Z L, Fu X J 2014 Acta Phys. Sin. 63 034305 (in Chinese) [侯丽娜, 侯志林, 傅秀军 2014 63 034305]
[32]	Yang M, Ma G C, Yang Z Y, and Sheng P 2013 Phys. Rev. Letts. 110 134301

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