Search

Article

x

留言板

尊敬的读者、作者、审稿人, 关于本刊的投稿、审稿、编辑和出版的任何问题, 您可以本页添加留言。我们将尽快给您答复。谢谢您的支持!

姓名
邮箱
手机号码
标题
留言内容
验证码

Research advances in acoustic metamaterials and metasurface

Ding Chang-Lin Dong Yi-Bao Zhao Xiao-Peng

Citation:

Research advances in acoustic metamaterials and metasurface

Ding Chang-Lin, Dong Yi-Bao, Zhao Xiao-Peng
PDF
Get Citation

(PLEASE TRANSLATE TO ENGLISH

BY GOOGLE TRANSLATE IF NEEDED.)

  • Acoustic metamateiral (AM) is an artificially structured material with the unique properties that cannot be found in nature materials, such as negative refraction, slab focusing, super-resolution imaging, cloaking, inverse Doppler effect, etc. In this paper we first review the research advances in AM in recent 20 years and then mainly discuss the properties of the meta-atom AM (MAAM), meta-molecule AM (MMAM), meta-atom cluster AM, and meta-molecule cluster AM. The MAAM consists of local resonant meta-atoms, whose resonant frequency is related to the geometry size of the structure. The MAAM presents the transmission dip and inversed phase near the resonant frequency. The meta-atoms discussed in the paper contain the split hollow sphere and hollow tube (HT), which can be used to realize the AM with single negative modulus and AM with single negative mass density near the frequency, respectively. The effective parameter of the MAAM is calculated from the transmission and reflection data in experiment according to the homogeneous-medium theory. By combining the two kinds of meta-atoms together, the assembled two-layered composite AM presents a transmission peak similar to the electromagnetic metamaterial in the overlapping resonant frequency region. The effective parameters calculated by experimental data demonstrate that the composite AM could realize simultaneously negative modulus and negative mass density near the peak frequency. In the double-negative band, this kind of double-negative AM can faithfully distinguish the acoustic sub-wavelength details (/7). Furthermore, by coupling the two kinds of meta-atoms in a structure, we design a flute-like meta-molecule structure of perforated hollow tube, which can be used to fabricate double-negative AM in high or low frequency band. The experimental results also show that the double-negative AM has the properties of flat focusing and negative refraction effect. Based on the weak interaction of the meta-atoms, the meta-atom cluster AM can be fabricated by arraying different sized meta-atoms. The meta-atom cluster AM composed of different sized meta-atoms of SHSs can realize multi-band or broadband negative modulus, and the different sized meta-atoms of HTs can realize broadband negative mass density. Similarly, the meta-molecule cluster AMs are constructed with seven kinds of flute-like perforated hollow tubes, which can overcome the limitations of arbitrary broadband negative bulk modulus and mass density to provide a region of inverse Doppler effects. It is also shown that the inverse frequency shift values will be enhanced with the increase of frequency. As the resonant unit can realize the effect of discontinuous phase, it can be used to design acoustic metasurface (AMS) to control the acoustic wavefronts at will and realize the anomalous manipulation of acoustic waves. Finally, we introduce the research status and tendency of AMS in coming years.
      Corresponding author: Zhao Xiao-Peng, xpzhao@nwpu.edu.cn
    • Funds: Project supported by the National Natural Science Foundation of China (Grant Nos. 11674267, 51272215, 11404261) and the Fundamental Research Funds for the Central Universities, China (Grant No. 3102017zy015).
    [1]

    Veselago V G 1968 Sov. Phys. Usp. 10 509

    [2]

    Pendry J B, Holden A J, Stewart W J, Youngs I 1996 Phys. Rev. Lett. 76 4773

    [3]

    Pendry J B, Holden A J, Robbins D J, Stewart W J 1999 IEEE Trans. Microwave Theory Tech. 47 2075

    [4]

    Shelby R A, Smith D R, Schultz S 2001 Science 292 77

    [5]

    Liu Y M, Zhang X 2011 Chem. Soc. Rev. 40 2494

    [6]

    Liu H, Zhao X P, Yang Y, Li Q W, L J 2008 Adv. Mater. 20 2050

    [7]

    Zhao X P, Luo W, Huang J X, Fu Q H, Song K, Cheng X C, Luo C R 2009 Appl. Phys. Lett. 95 071111

    [8]

    Gong B Y, Zhao X P 2011 Opt. Express 19 289

    [9]

    Zhao X P 2012 J. Mater. Chem. 19 9439

    [10]

    Liu Z Y, Zhang X, Mao Y, Zhu Y Y, Yang Z, Chan C T, Sheng P 2000 Science 289 1734

    [11]

    Zhao Q, Zhao X P, Kang L, Zhang F L, Liu Y H, Luo C R 2004 Acta Phys. Sin. 53 2206 (in Chinese) [赵乾, 赵晓鹏, 康雷, 张富利, 刘亚红, 罗春荣 2004 物理学报 53 2206]

    [12]

    Luo C R, Kang L, Zhao Q, Fu Q H, Song J, Zhao X P 2005 Acta Phys. Sin. 54 1607 (in Chinese) [罗春荣, 康雷, 赵乾, 付全红, 宋娟, 赵晓鹏 2005 物理学报 54 1607]

    [13]

    Liu Z Y, Chan C T, Sheng P 2005 Phys. Rev. B 71 014103

    [14]

    Mei J, Liu Z Y, Wen W J, Sheng P 2006 Phys. Rev. Lett. 96 024301

    [15]

    Liu Z Y, Wen W J, Sheng P 2007 Phys. Rev. B 76 134205

    [16]

    Yang Z, Mei J, Yang M, Chan N H, Sheng P 2008 Phys. Rev. Lett. 101 204301

    [17]

    Yang Z, Dai H M, Chan N H, Ma G C, Sheng P 2010 Appl. Phys. Lett. 96 041906

    [18]

    Mei J, Ma G C, Yang M, Yang Z Y, Wen W J, Sheng P 2012 Nat. Commun. 3 756

    [19]

    Lee S H, Park C M, Seo Y M, Wang Z G, Kim C K 2009 Phys. Lett. A 373 4464

    [20]

    Yan Z Z, Zhang C Z, Wang Y S 2009 Appl. Phys. Lett. 94 161909

    [21]

    Nemat-Nasser S, Willis J R, Srivastava A, Amirkhizi A V 2011 Phys. Rev. B 83 104103

    [22]

    Yao S S, Zhou X M, Hu G K 2008 New J. Phys. 10 043020

    [23]

    Huang H H, Sun C T 2009 New J. Phys. 11 013003

    [24]

    He Z, Qiu C Y, Cheng L, Xiao M, Deng K, Liu Z Y 2010 Europhys. Lett. 91 54004

    [25]

    Zhou X, Hu G 2011 Appl. Phys. Lett. 98 263510

    [26]

    Chen H J, Zhai S L, Ding C L, Liu S, Luo C R, Zhao X P 2014 J. Appl. Phys. 115 054905

    [27]

    Chen H J, Zhai S L, Ding C L, Liu S, Luo C R, Zhao X P 2015 J. Appl. Phys. 118 094901

    [28]

    Torrent D, Sanchez-Dehesa J 2008 New J. Phys. 10 023004

    [29]

    Popa B I, Cummer S A 2009 Phys. Rev. B 80 174303

    [30]

    Torrent D, Sanchez-Dehesa J 2010 Phys. Rev. Lett. 105 174301

    [31]

    Zigoneanu L, Popa B I, Starr A F, Cummer S A 2011 J. Appl. Phys. 109 054906

    [32]

    Christensen J, de Abajo F J G 2012 Phys. Rev. Lett. 108 124301

    [33]

    Fang N, Xi D, Xu J, Ambati M, Srituravanich W, Sun C, Zhang X 2006 Nat. Mater. 5 452

    [34]

    Ding C L, Zhao X P 2009 Acta Phys. Sin. 58 6351 (in Chinese) [丁昌林, 赵晓鹏 2009 物理学报 58 6351]

    [35]

    Hu X H, Ho K M, Chan C T, Zi J 2008 Phys. Rev. B 77 172301

    [36]

    Guenneau S, Movchan A, Petursson G, Ramakrishna S A 2007 New J. Phys. 9 399

    [37]

    Cheng Y, Xu J Y, Liu X J 2008 Appl. Phys. Lett. 92 051913

    [38]

    Lee S H, Park C M, Seo Y M, Wang Z G, Kim C K 2009 J. Phys.:Condens. Matter 21 175704

    [39]

    Ding C L, Hao L M, Zhao X P 2010 J. Appl. Phys. 108 074911

    [40]

    Ding C L, Zhao X P 2011 J. Phys. D:Appl. Phys. 44 215402

    [41]

    Ding C L, Zhao X P, Hao L M, Zhu W R 2011 Acta Phys. Sin. 60 044301 (in Chinese) [丁昌林, 赵晓鹏, 郝丽梅, 朱卫仁 2011 物理学报 60 044301]

    [42]

    Ding C L, Chen H J, Zhai S L, Zhao X P 2013 Appl. Phys. A 112 533

    [43]

    Hao L M, Ding C L, Zhao X P 2012 Appl. Phys. A 106 807

    [44]

    Hao L M, Ding C L, Zhao X P 2013 J. Vib. Acoust. 135 041008

    [45]

    Leroy V, Bretagne A, Fink M, Willaime H, Tabeling P, Tourin A 2009 Appl. Phys. Lett. 95 171904

    [46]

    Li J, Chan C T 2004 Phys. Rev. E 70 055602

    [47]

    Ding Y Q, Liu Z Y, Qiu C W, Shi J 2007 Phys. Rev. Lett. 99 093904

    [48]

    Lee S H, Park C M, Seo Y M, Nemat-Nasser S C, Schultz S 2010 Phys. Rev. Lett. 104 054301

    [49]

    Lee S H, Park C M, Seo Y M, Kim C K 2010 Phys. Rev. B 81 241102

    [50]

    Chen H J, Zeng H C, Ding C L, Luo C R, Zhao X P 2013 J. Appl. Phys. 113 104902

    [51]

    Zeng H C, Luo C R, Chen H J, Ding C L, Zhai S L, Zhao X P 2013 Solid State Commun. 173 14

    [52]

    Zhai S L, Chen H J, Ding C L, Zhao X P 2013 J. Phys. D:Appl. Phys. 46 475105

    [53]

    Chen H J, Li H, Zhai S L, Ding C L, Li J M, Luo C R, Zhao X P 2016 J. Appl. Phys. 119 204902

    [54]

    Fok L, Zhang X 2011 Phys. Rev. B 83 214304

    [55]

    Yang M, Ma G C, Yang Z Y, Sheng P 2013 Phys. Rev. Lett. 110 134301

    [56]

    Lai Y, Wu Y, Sheng P, Zhang Z Q 2011 Nat. Mater. 10 620

    [57]

    Pope S A, Daley S 2010 Phys. Lett. A 374 4250

    [58]

    Cummer S A, Christensen J, Alu A 2016 Nat. Rev. Mater. 1 16001

    [59]

    Ma G C, Sheng P 2016 Sci. Adv. 2 e1501595

    [60]

    Ge H, Yang M, Ma C, Lu M H, Chen Y F, Fang N, Sheng P 2018 Natl. Sci. Rev. 5 159

    [61]

    Yang S, Page J H, Liu Z Y, Cowan M L, Chan C T, Sheng P 2004 Phys. Rev. Lett. 93 024301

    [62]

    Lu M H, Zhang C, Feng L, Zhao J, Chen Y F, Mao Y W, Zi J, Zhu Y Y, Zhu S N, Ming N B 2007 Nat. Mater. 6 744

    [63]

    Bongard F, Lissek H, Mosig J R 2010 Phys. Rev. B 82 094306

    [64]

    Zhang S, Yin L L, Fang N 2009 Phys. Rev. Lett. 102 194301

    [65]

    Liu J, Hou Z, Fu X 2015 Phys. Lett. A 379 2097

    [66]

    Xie Y, Popa B I, Zigoneanu L, Cummer S A 2013 Phys. Rev. Lett. 110 175501

    [67]

    Garca-Chocano V M, Christensen J, Snchez-Dehesa J 2014 Phys. Rev. Lett. 112 144301

    [68]

    Xia J P, Sun H X 2015 Appl. Phys. Lett. 106 063505

    [69]

    Pendry J B 2000 Phys. Rev. Lett. 85 3966

    [70]

    Fang N, Lee H, Sun C, Zhang X 2005 Science 308 534

    [71]

    Zhang X, Liu Z W 2008 Nat. Mater. 7 435

    [72]

    Ambati M, Fang N, Sun C, Zhang X 2007 Phys. Rev. B 75 195447

    [73]

    Park C M, Park J J, Lee S H, Seo Y M, Kim C K, Lee S H 2011 Phys. Rev. Lett. 107 194301

    [74]

    Zhu J, Christensen J, Jung J, Martin-Moreno L, Yin X, Fok L, Zhang X, Garcia-Vidal F J 2011 Nat. Phys. 7 52

    [75]

    Kaina N, Lemoult F, Fink M, Lerosey G 2015 Nature 525 77

    [76]

    Jacob Z, Alekseyev L V, Narimanov E 2006 Opt. Express 14 8247

    [77]

    Liu Z W, Lee H, Xiong Y, Sun C, Zhang X 2007 Science 315 1686

    [78]

    Ma C B, Aguinaldo R, Liu Z W 2010 Chin. Sci. Bull. 55 2618

    [79]

    Ao X Y, Chan C T 2008 Phys. Rev. E 77 025601

    [80]

    Peng S S, He Z J, Jia H, Zhang A Q, Qiu C Y, Ke M Z, Liu Z Y 2010 Appl. Phys. Lett. 96 263502

    [81]

    Lemoult F, Fink M, Lerosey G 2011 Phys. Rev. Lett. 107 064301

    [82]

    Chiang T Y, Wu L Y, Tsai C N, Chen L W 2011 Appl. Phys. A 103 355

    [83]

    Li J S, Fok L, Yin X B, Bartal G, Zhang X 2009 Nat. Mater. 8 931

    [84]

    Yang M, Sheng P 2017 Annu. Rev. Mater. Res. 47 83

    [85]

    Pai P F 2010 J. Intel. Mat. Syst. Str. 21 517

    [86]

    Mei J, Ma G, Yang M, Yang Z Y, Wen W J, Sheng P 2012 Nat. Commun. 3 756

    [87]

    Ma G, Yang M, Yang Z, Sheng P 2013 Appl. Phys. Lett. 103 011903

    [88]

    Wu X X, Au-Yeung K Y, Li X, Roberts R C, Tian J X, Hu C D, Huang Y Z, Wang S X, Yang Z Y, Wen W J 2018 Appl. Phys. Lett. 112 103505

    [89]

    Wang X L, Luo X D, Zhao H, Huang Z Y 2018 Appl. Phys. Lett. 112 021901

    [90]

    Long H Y, Gao S X, Cheng Y, Liu X J 2018 Appl. Phys. Lett. 112 033507

    [91]

    Chen C R, Du Z B, Hu G K, Yang J 2017 Appl. Phys. Lett. 110 221903

    [92]

    Pendry J B, Schurig D, Smith D R 2006 Science 312 1780

    [93]

    Leonhardt U 2006 Science 312 1777

    [94]

    Chen H Y, Chan C T 2007 Appl. Phys. Lett. 91 183518

    [95]

    Cummer S A, Popa B I, Schurig D, Smith D R, Pendry J, Rahm M, Starr A 2008 Phys. Rev. Lett. 100 024301

    [96]

    Cummer S A, Rahm M, Schurig D 2008 New J. Phys. 10 115025

    [97]

    Torrent D, Sanchez-Dehesa J 2008 New J. Phys. 10 063015

    [98]

    Chen H Y, Chan C T 2010 J. Phys. D:Appl. Phys. 43 113001

    [99]

    Cheng Y, Yang F, Xu J Y, Liu X J 2008 Appl. Phys. Lett. 92 151913

    [100]

    Zhang S, Xia C G, Fang N 2011 Phys. Rev. Lett. 106 024301

    [101]

    Zhu X F, Liang B, Kan W W, Zou X Y, Cheng J C 2011 Phys. Rev. Lett. 106 014301

    [102]

    Zhu W R, Ding C L, Zhao X P 2010 Appl. Phys. Lett. 97 131902

    [103]

    Popa B I, Zigoneanu L, Cummer S A 2011 Phys. Rev. Lett. 106 253901

    [104]

    Zigoneanu L, Popa B I, Cummer S A 2014 Nat. Mater. 13 352

    [105]

    Hu X, Hang Z, Li J, Zi J, Chan C T 2006 Phys. Rev. E 73 015602

    [106]

    Zhai S L, Zhao X P, Liu S, Shen F L, Li L L, Luo C R 2016 Sci. Rep. 6 32388

    [107]

    Lu M H, Liu X K, Feng L, Li J, Huang C P, Chen Y F 2007 Phys. Rev. Lett. 99 174301

    [108]

    Park J J, Lee K J, Wright O B, Jung M K, Lee S H 2013 Phys. Rev. Lett. 110 244302

    [109]

    Zhou Y, Lu M H, Feng L, Ni X, Chen Y F, Zhu Y Y, Zhu S N, Ming N B 2010 Phys. Rev. Lett. 104 164301

    [110]

    Christensen J, Fernandez-Dominguez A I, de Leon-Perez F, Martin-Moreno L, Garcia-Vidal F J 2007 Nat. Phys. 3 851

    [111]

    Liang B, Yuan B, Cheng J C 2009 Phys. Rev. Lett. 103 104301

    [112]

    Liang B, Guo X S, Tu J, Zhang D, Cheng J C 2010 Nat. Mater. 9 989

    [113]

    Lepri S, Casati G 2011 Phys. Rev. Lett. 106 164101

    [114]

    Fleury R, Sounas D L, Sieck C F, Haberman M R, Al A 2014 Science 343 516

    [115]

    Boechler N, Theocharis G, Daraio C 2011 Nat. Mater. 10 665

    [116]

    Popa B I, Cummer S A 2014 Nat. Commun. 5 3398

    [117]

    Fokin V, Ambati M, Sun C, Zhang X 2007 Phys. Rev. B 76 144302

    [118]

    Liang Z X, Li J 2012 Phys. Rev. Lett. 108 114301

    [119]

    Maurya S K, Pandey A, Shukla S, Saxena S 2016 Sci. Rep. 6 33683

    [120]

    Yu N F, Genevet P, Kats M A, Aieta F, Tetienne J P, Capasso F, Gaburro Z 2011 Science 334 333

    [121]

    Ni X J, Emani N K, Kildishev A V, Boltasseva A, Shalaev V M 2012 Science 335 427

    [122]

    Grady N K, Heyes J E, Chowdhury D R, Zeng Y, Reiten M T, Azad A K, Taylor A J, Dalvit D A R, Chen H T 2013 Science 340 1304

    [123]

    Zhang X Q, Tian Z, Yue W S, Gu J Q, Zhang S, Han J G, Zhang W L 2013 Adv. Mater. 25 4567

    [124]

    Kildishev A V, Boltasseva A, Shalaev V M 2013 Science 339 1289

    [125]

    Yu N F, Aieta F, Genevet P, Kats M A, Gaburro Z, Capasso F 2012 Nano Lett. 12 6328

    [126]

    Sun S L, He Q, Xiao S Y, Xu Q, Li X, Zhou L 2012 Nat. Mater. 11 426

    [127]

    Yu N F, Capasso F 2014 Nat. Mater. 13 139

    [128]

    Li Y, Liang B, Gu Z M, Zou X Y, Cheng J C 2013 Sci. Rep. 3 2546

    [129]

    Li Y, Jiang X, Li R, Liang B, Zou X Y, Yin L L, Cheng J C 2014 Phys. Rev. Appl. 2 064002

    [130]

    Zhu Y F, Zou X Y, Li R Q, Jiang X, Tu J, Liang B, Cheng J C 2015 Sci. Rep. 5 10966

    [131]

    Ding C L, Chen H J, Zhai S L, Liu S, Zhao X P 2015 J. Phys. D:Appl. Phys. 48 045303

    [132]

    Ding C L, Zhao X P, Chen H J, Zhai S L, Shen F L 2015 Appl. Phys. A 120 487

    [133]

    Ding C L, Wang Z R, Shen F L, Chen H J, Zhai S L, Zhao X P 2016 Solid State Commun. 229 28

    [134]

    Zhao J J, Li B W, Chen Z N, Qiu C W 2013 Sci. Rep. 3 2537

    [135]

    Zhao J J, Li B W, Chen Z N, Qiu C W 2013 Appl. Phys. Lett. 103 151604

    [136]

    Xie Y B, Wang W Q, Chen H Y, Konneker A, Popa B I, Cummer S A 2014 Nat. Commun. 5 5553

    [137]

    Tang K, Qiu C Y, Ke M Z 2014 Sci. Rep. 4 6517

    [138]

    Mei J, Wu Y 2014 New J. Phys. 16 123007

    [139]

    Zhu H F, Semperlotti F 2016 Phys. Rev. Lett. 117 034302

    [140]

    Zhai S L, Chen H J, Ding C L, Shen F L, Luo C R, Zhao X P 2015 Appl. Phys. A 120 1283

    [141]

    Zhai S L, Ding C L, Chen H J, Shen F L, Luo C R, Zhao X P 2016 J. Vib. Acoust. 138 041019

    [142]

    Song K, Kim J, Hur S, Kwak J H, Lee S H, Kim T 2016 Sci. Rep. 6 32300

    [143]

    Jiang X, Liang B, Zou X Y, Yang J, Yin L L, Yang J, Cheng J C 2016 Sci. Rep. 6 28023

    [144]

    Li Y, Shen C, Xie Y B, Li J F, Wang W Q, Cummer S A, Jing Y 2017 Phys. Rev. Lett. 119 035501

    [145]

    Xie B Y, Cheng H, Tang K, Liu Z Y, Chen S Q, Tian J G 2017 Phys. Rev. Appl. 7 024010

    [146]

    Liu B Y, Zhao W Y, Jiang Y Y 2016 Sci. Rep. 6 38314

    [147]

    Zhu Y F, Fan X D, Liang B, Cheng J C, Jing Y 2017 Phys. Rev. X 7 021034

    [148]

    Babaee S, Viard N, Wang P, Fang N X, Bertoldi K 2016 Adv. Mater. 28 1504469

    [149]

    Sun K H, Kim J E, Kim J, Song K 2017 Smart Mater. Struct. 26 075011

    [150]

    Bok E, Park J J, Choi H, Han C K, Wright O B, Lee S H 2018 Phys. Rev. Lett. 120 044302

    [151]

    Zhai S L, Chen H J, Ding C L, Li L L, Shen F L, Luo C R, Zhao X P 2016 J. Phys. D:Appl. Phys. 49 225302

    [152]

    Yang Y H, Wang H P, Yu F X, Xu Z W, Chen H S 2016 Sci. Rep. 6 20219

    [153]

    Esfahlani H, Karkar S, Lissek H, Mosig J R 2016 Phys. Rev. B 94 014302

    [154]

    Ma G C, Yang M, Xiao S W, Yang Z Y, Sheng P 2014 Nat. Mater. 13 873

    [155]

    Li J F, Wang W Q, Xie Y B, Popa B I, Cummer S A 2016 Appl. Phys. Lett. 109 091908

    [156]

    Zhou J, Zhang X, Fang Y 2017 Compos. Struct. 176 1005

    [157]

    Zhang C, Hu X H 2016 Phys. Rev. Appl. 6 064025

    [158]

    Jimenez N, Huang W, Romero-Garcia V, Pagneux V, Groby J P 2016 Appl. Phys. Lett. 109 121902

    [159]

    Li Y, Assouar B M 2016 Appl. Phys. Lett. 108 063502

    [160]

    Wang X L, Luo X D, Zhao H, Huang Z Y 2018 Appl. Phys. Lett. 112 021901

    [161]

    Wu X X, Au-Yeung K Y, Li X, Roberts R C, Tian J X, Hu C D, Huang Y Z, Wang S X, Yang Z Y, Wen W J 2018 Appl. Phys. Lett. 112 103505

    [162]

    Chen C R, Du Z B, Hu G K, Yang J 2017 Appl. Phys. Lett. 110 221903

    [163]

    Lani S, Sabra K G, Degertekin F L 2016 Appl. Phys. Lett. 108 084104

    [164]

    Chen M, Jiang H, Zhang H, Li D S, Wang Y R 2018 Sci. Rep. 8 41598

    [165]

    Esfahlani H, Karkar S, Lissek H, Mosig J R 2016 Sci.Rep. 6 18911

    [166]

    Xie Y B, Shen C, Wang W Q, Li J F, Suo D J, Popa B I, Jing Y, Cummer S A 2016 Sci. Rep. 6 35437

    [167]

    Song G Y, Huang B, Dong H Y, Cheng Q, Cui T J 2016 Sci. Rep. 6 35929

    [168]

    Zhang Z W, Wei Q, Cheng Y, Zhang T, Wu D J, Liu X J 2017 Phys. Rev. Lett. 118 084303

    [169]

    Yang Z J, Gao F, Shi X H, Lin X, Gao Z, Chong Y D, Zhang B L 2015 Phys. Rev. Lett. 114 114301

    [170]

    Yves S, Fleury R, Lemoult F, Fink M, Lerosey G 2017 New J. Phys. 19 075003

    [171]

    He C, Ni X, Ge H, Sun X C, Chen Y B, Lu M H, Liu X P, Chen Y F 2016 Nat. Phys. 12 1124

    [172]

    Lu J Y, Qiu C Y, Ye L P, Fan X Y, Ke M Z, Zhang F, Liu Z Y 2016 Nat. Phys. 13 369

  • [1]

    Veselago V G 1968 Sov. Phys. Usp. 10 509

    [2]

    Pendry J B, Holden A J, Stewart W J, Youngs I 1996 Phys. Rev. Lett. 76 4773

    [3]

    Pendry J B, Holden A J, Robbins D J, Stewart W J 1999 IEEE Trans. Microwave Theory Tech. 47 2075

    [4]

    Shelby R A, Smith D R, Schultz S 2001 Science 292 77

    [5]

    Liu Y M, Zhang X 2011 Chem. Soc. Rev. 40 2494

    [6]

    Liu H, Zhao X P, Yang Y, Li Q W, L J 2008 Adv. Mater. 20 2050

    [7]

    Zhao X P, Luo W, Huang J X, Fu Q H, Song K, Cheng X C, Luo C R 2009 Appl. Phys. Lett. 95 071111

    [8]

    Gong B Y, Zhao X P 2011 Opt. Express 19 289

    [9]

    Zhao X P 2012 J. Mater. Chem. 19 9439

    [10]

    Liu Z Y, Zhang X, Mao Y, Zhu Y Y, Yang Z, Chan C T, Sheng P 2000 Science 289 1734

    [11]

    Zhao Q, Zhao X P, Kang L, Zhang F L, Liu Y H, Luo C R 2004 Acta Phys. Sin. 53 2206 (in Chinese) [赵乾, 赵晓鹏, 康雷, 张富利, 刘亚红, 罗春荣 2004 物理学报 53 2206]

    [12]

    Luo C R, Kang L, Zhao Q, Fu Q H, Song J, Zhao X P 2005 Acta Phys. Sin. 54 1607 (in Chinese) [罗春荣, 康雷, 赵乾, 付全红, 宋娟, 赵晓鹏 2005 物理学报 54 1607]

    [13]

    Liu Z Y, Chan C T, Sheng P 2005 Phys. Rev. B 71 014103

    [14]

    Mei J, Liu Z Y, Wen W J, Sheng P 2006 Phys. Rev. Lett. 96 024301

    [15]

    Liu Z Y, Wen W J, Sheng P 2007 Phys. Rev. B 76 134205

    [16]

    Yang Z, Mei J, Yang M, Chan N H, Sheng P 2008 Phys. Rev. Lett. 101 204301

    [17]

    Yang Z, Dai H M, Chan N H, Ma G C, Sheng P 2010 Appl. Phys. Lett. 96 041906

    [18]

    Mei J, Ma G C, Yang M, Yang Z Y, Wen W J, Sheng P 2012 Nat. Commun. 3 756

    [19]

    Lee S H, Park C M, Seo Y M, Wang Z G, Kim C K 2009 Phys. Lett. A 373 4464

    [20]

    Yan Z Z, Zhang C Z, Wang Y S 2009 Appl. Phys. Lett. 94 161909

    [21]

    Nemat-Nasser S, Willis J R, Srivastava A, Amirkhizi A V 2011 Phys. Rev. B 83 104103

    [22]

    Yao S S, Zhou X M, Hu G K 2008 New J. Phys. 10 043020

    [23]

    Huang H H, Sun C T 2009 New J. Phys. 11 013003

    [24]

    He Z, Qiu C Y, Cheng L, Xiao M, Deng K, Liu Z Y 2010 Europhys. Lett. 91 54004

    [25]

    Zhou X, Hu G 2011 Appl. Phys. Lett. 98 263510

    [26]

    Chen H J, Zhai S L, Ding C L, Liu S, Luo C R, Zhao X P 2014 J. Appl. Phys. 115 054905

    [27]

    Chen H J, Zhai S L, Ding C L, Liu S, Luo C R, Zhao X P 2015 J. Appl. Phys. 118 094901

    [28]

    Torrent D, Sanchez-Dehesa J 2008 New J. Phys. 10 023004

    [29]

    Popa B I, Cummer S A 2009 Phys. Rev. B 80 174303

    [30]

    Torrent D, Sanchez-Dehesa J 2010 Phys. Rev. Lett. 105 174301

    [31]

    Zigoneanu L, Popa B I, Starr A F, Cummer S A 2011 J. Appl. Phys. 109 054906

    [32]

    Christensen J, de Abajo F J G 2012 Phys. Rev. Lett. 108 124301

    [33]

    Fang N, Xi D, Xu J, Ambati M, Srituravanich W, Sun C, Zhang X 2006 Nat. Mater. 5 452

    [34]

    Ding C L, Zhao X P 2009 Acta Phys. Sin. 58 6351 (in Chinese) [丁昌林, 赵晓鹏 2009 物理学报 58 6351]

    [35]

    Hu X H, Ho K M, Chan C T, Zi J 2008 Phys. Rev. B 77 172301

    [36]

    Guenneau S, Movchan A, Petursson G, Ramakrishna S A 2007 New J. Phys. 9 399

    [37]

    Cheng Y, Xu J Y, Liu X J 2008 Appl. Phys. Lett. 92 051913

    [38]

    Lee S H, Park C M, Seo Y M, Wang Z G, Kim C K 2009 J. Phys.:Condens. Matter 21 175704

    [39]

    Ding C L, Hao L M, Zhao X P 2010 J. Appl. Phys. 108 074911

    [40]

    Ding C L, Zhao X P 2011 J. Phys. D:Appl. Phys. 44 215402

    [41]

    Ding C L, Zhao X P, Hao L M, Zhu W R 2011 Acta Phys. Sin. 60 044301 (in Chinese) [丁昌林, 赵晓鹏, 郝丽梅, 朱卫仁 2011 物理学报 60 044301]

    [42]

    Ding C L, Chen H J, Zhai S L, Zhao X P 2013 Appl. Phys. A 112 533

    [43]

    Hao L M, Ding C L, Zhao X P 2012 Appl. Phys. A 106 807

    [44]

    Hao L M, Ding C L, Zhao X P 2013 J. Vib. Acoust. 135 041008

    [45]

    Leroy V, Bretagne A, Fink M, Willaime H, Tabeling P, Tourin A 2009 Appl. Phys. Lett. 95 171904

    [46]

    Li J, Chan C T 2004 Phys. Rev. E 70 055602

    [47]

    Ding Y Q, Liu Z Y, Qiu C W, Shi J 2007 Phys. Rev. Lett. 99 093904

    [48]

    Lee S H, Park C M, Seo Y M, Nemat-Nasser S C, Schultz S 2010 Phys. Rev. Lett. 104 054301

    [49]

    Lee S H, Park C M, Seo Y M, Kim C K 2010 Phys. Rev. B 81 241102

    [50]

    Chen H J, Zeng H C, Ding C L, Luo C R, Zhao X P 2013 J. Appl. Phys. 113 104902

    [51]

    Zeng H C, Luo C R, Chen H J, Ding C L, Zhai S L, Zhao X P 2013 Solid State Commun. 173 14

    [52]

    Zhai S L, Chen H J, Ding C L, Zhao X P 2013 J. Phys. D:Appl. Phys. 46 475105

    [53]

    Chen H J, Li H, Zhai S L, Ding C L, Li J M, Luo C R, Zhao X P 2016 J. Appl. Phys. 119 204902

    [54]

    Fok L, Zhang X 2011 Phys. Rev. B 83 214304

    [55]

    Yang M, Ma G C, Yang Z Y, Sheng P 2013 Phys. Rev. Lett. 110 134301

    [56]

    Lai Y, Wu Y, Sheng P, Zhang Z Q 2011 Nat. Mater. 10 620

    [57]

    Pope S A, Daley S 2010 Phys. Lett. A 374 4250

    [58]

    Cummer S A, Christensen J, Alu A 2016 Nat. Rev. Mater. 1 16001

    [59]

    Ma G C, Sheng P 2016 Sci. Adv. 2 e1501595

    [60]

    Ge H, Yang M, Ma C, Lu M H, Chen Y F, Fang N, Sheng P 2018 Natl. Sci. Rev. 5 159

    [61]

    Yang S, Page J H, Liu Z Y, Cowan M L, Chan C T, Sheng P 2004 Phys. Rev. Lett. 93 024301

    [62]

    Lu M H, Zhang C, Feng L, Zhao J, Chen Y F, Mao Y W, Zi J, Zhu Y Y, Zhu S N, Ming N B 2007 Nat. Mater. 6 744

    [63]

    Bongard F, Lissek H, Mosig J R 2010 Phys. Rev. B 82 094306

    [64]

    Zhang S, Yin L L, Fang N 2009 Phys. Rev. Lett. 102 194301

    [65]

    Liu J, Hou Z, Fu X 2015 Phys. Lett. A 379 2097

    [66]

    Xie Y, Popa B I, Zigoneanu L, Cummer S A 2013 Phys. Rev. Lett. 110 175501

    [67]

    Garca-Chocano V M, Christensen J, Snchez-Dehesa J 2014 Phys. Rev. Lett. 112 144301

    [68]

    Xia J P, Sun H X 2015 Appl. Phys. Lett. 106 063505

    [69]

    Pendry J B 2000 Phys. Rev. Lett. 85 3966

    [70]

    Fang N, Lee H, Sun C, Zhang X 2005 Science 308 534

    [71]

    Zhang X, Liu Z W 2008 Nat. Mater. 7 435

    [72]

    Ambati M, Fang N, Sun C, Zhang X 2007 Phys. Rev. B 75 195447

    [73]

    Park C M, Park J J, Lee S H, Seo Y M, Kim C K, Lee S H 2011 Phys. Rev. Lett. 107 194301

    [74]

    Zhu J, Christensen J, Jung J, Martin-Moreno L, Yin X, Fok L, Zhang X, Garcia-Vidal F J 2011 Nat. Phys. 7 52

    [75]

    Kaina N, Lemoult F, Fink M, Lerosey G 2015 Nature 525 77

    [76]

    Jacob Z, Alekseyev L V, Narimanov E 2006 Opt. Express 14 8247

    [77]

    Liu Z W, Lee H, Xiong Y, Sun C, Zhang X 2007 Science 315 1686

    [78]

    Ma C B, Aguinaldo R, Liu Z W 2010 Chin. Sci. Bull. 55 2618

    [79]

    Ao X Y, Chan C T 2008 Phys. Rev. E 77 025601

    [80]

    Peng S S, He Z J, Jia H, Zhang A Q, Qiu C Y, Ke M Z, Liu Z Y 2010 Appl. Phys. Lett. 96 263502

    [81]

    Lemoult F, Fink M, Lerosey G 2011 Phys. Rev. Lett. 107 064301

    [82]

    Chiang T Y, Wu L Y, Tsai C N, Chen L W 2011 Appl. Phys. A 103 355

    [83]

    Li J S, Fok L, Yin X B, Bartal G, Zhang X 2009 Nat. Mater. 8 931

    [84]

    Yang M, Sheng P 2017 Annu. Rev. Mater. Res. 47 83

    [85]

    Pai P F 2010 J. Intel. Mat. Syst. Str. 21 517

    [86]

    Mei J, Ma G, Yang M, Yang Z Y, Wen W J, Sheng P 2012 Nat. Commun. 3 756

    [87]

    Ma G, Yang M, Yang Z, Sheng P 2013 Appl. Phys. Lett. 103 011903

    [88]

    Wu X X, Au-Yeung K Y, Li X, Roberts R C, Tian J X, Hu C D, Huang Y Z, Wang S X, Yang Z Y, Wen W J 2018 Appl. Phys. Lett. 112 103505

    [89]

    Wang X L, Luo X D, Zhao H, Huang Z Y 2018 Appl. Phys. Lett. 112 021901

    [90]

    Long H Y, Gao S X, Cheng Y, Liu X J 2018 Appl. Phys. Lett. 112 033507

    [91]

    Chen C R, Du Z B, Hu G K, Yang J 2017 Appl. Phys. Lett. 110 221903

    [92]

    Pendry J B, Schurig D, Smith D R 2006 Science 312 1780

    [93]

    Leonhardt U 2006 Science 312 1777

    [94]

    Chen H Y, Chan C T 2007 Appl. Phys. Lett. 91 183518

    [95]

    Cummer S A, Popa B I, Schurig D, Smith D R, Pendry J, Rahm M, Starr A 2008 Phys. Rev. Lett. 100 024301

    [96]

    Cummer S A, Rahm M, Schurig D 2008 New J. Phys. 10 115025

    [97]

    Torrent D, Sanchez-Dehesa J 2008 New J. Phys. 10 063015

    [98]

    Chen H Y, Chan C T 2010 J. Phys. D:Appl. Phys. 43 113001

    [99]

    Cheng Y, Yang F, Xu J Y, Liu X J 2008 Appl. Phys. Lett. 92 151913

    [100]

    Zhang S, Xia C G, Fang N 2011 Phys. Rev. Lett. 106 024301

    [101]

    Zhu X F, Liang B, Kan W W, Zou X Y, Cheng J C 2011 Phys. Rev. Lett. 106 014301

    [102]

    Zhu W R, Ding C L, Zhao X P 2010 Appl. Phys. Lett. 97 131902

    [103]

    Popa B I, Zigoneanu L, Cummer S A 2011 Phys. Rev. Lett. 106 253901

    [104]

    Zigoneanu L, Popa B I, Cummer S A 2014 Nat. Mater. 13 352

    [105]

    Hu X, Hang Z, Li J, Zi J, Chan C T 2006 Phys. Rev. E 73 015602

    [106]

    Zhai S L, Zhao X P, Liu S, Shen F L, Li L L, Luo C R 2016 Sci. Rep. 6 32388

    [107]

    Lu M H, Liu X K, Feng L, Li J, Huang C P, Chen Y F 2007 Phys. Rev. Lett. 99 174301

    [108]

    Park J J, Lee K J, Wright O B, Jung M K, Lee S H 2013 Phys. Rev. Lett. 110 244302

    [109]

    Zhou Y, Lu M H, Feng L, Ni X, Chen Y F, Zhu Y Y, Zhu S N, Ming N B 2010 Phys. Rev. Lett. 104 164301

    [110]

    Christensen J, Fernandez-Dominguez A I, de Leon-Perez F, Martin-Moreno L, Garcia-Vidal F J 2007 Nat. Phys. 3 851

    [111]

    Liang B, Yuan B, Cheng J C 2009 Phys. Rev. Lett. 103 104301

    [112]

    Liang B, Guo X S, Tu J, Zhang D, Cheng J C 2010 Nat. Mater. 9 989

    [113]

    Lepri S, Casati G 2011 Phys. Rev. Lett. 106 164101

    [114]

    Fleury R, Sounas D L, Sieck C F, Haberman M R, Al A 2014 Science 343 516

    [115]

    Boechler N, Theocharis G, Daraio C 2011 Nat. Mater. 10 665

    [116]

    Popa B I, Cummer S A 2014 Nat. Commun. 5 3398

    [117]

    Fokin V, Ambati M, Sun C, Zhang X 2007 Phys. Rev. B 76 144302

    [118]

    Liang Z X, Li J 2012 Phys. Rev. Lett. 108 114301

    [119]

    Maurya S K, Pandey A, Shukla S, Saxena S 2016 Sci. Rep. 6 33683

    [120]

    Yu N F, Genevet P, Kats M A, Aieta F, Tetienne J P, Capasso F, Gaburro Z 2011 Science 334 333

    [121]

    Ni X J, Emani N K, Kildishev A V, Boltasseva A, Shalaev V M 2012 Science 335 427

    [122]

    Grady N K, Heyes J E, Chowdhury D R, Zeng Y, Reiten M T, Azad A K, Taylor A J, Dalvit D A R, Chen H T 2013 Science 340 1304

    [123]

    Zhang X Q, Tian Z, Yue W S, Gu J Q, Zhang S, Han J G, Zhang W L 2013 Adv. Mater. 25 4567

    [124]

    Kildishev A V, Boltasseva A, Shalaev V M 2013 Science 339 1289

    [125]

    Yu N F, Aieta F, Genevet P, Kats M A, Gaburro Z, Capasso F 2012 Nano Lett. 12 6328

    [126]

    Sun S L, He Q, Xiao S Y, Xu Q, Li X, Zhou L 2012 Nat. Mater. 11 426

    [127]

    Yu N F, Capasso F 2014 Nat. Mater. 13 139

    [128]

    Li Y, Liang B, Gu Z M, Zou X Y, Cheng J C 2013 Sci. Rep. 3 2546

    [129]

    Li Y, Jiang X, Li R, Liang B, Zou X Y, Yin L L, Cheng J C 2014 Phys. Rev. Appl. 2 064002

    [130]

    Zhu Y F, Zou X Y, Li R Q, Jiang X, Tu J, Liang B, Cheng J C 2015 Sci. Rep. 5 10966

    [131]

    Ding C L, Chen H J, Zhai S L, Liu S, Zhao X P 2015 J. Phys. D:Appl. Phys. 48 045303

    [132]

    Ding C L, Zhao X P, Chen H J, Zhai S L, Shen F L 2015 Appl. Phys. A 120 487

    [133]

    Ding C L, Wang Z R, Shen F L, Chen H J, Zhai S L, Zhao X P 2016 Solid State Commun. 229 28

    [134]

    Zhao J J, Li B W, Chen Z N, Qiu C W 2013 Sci. Rep. 3 2537

    [135]

    Zhao J J, Li B W, Chen Z N, Qiu C W 2013 Appl. Phys. Lett. 103 151604

    [136]

    Xie Y B, Wang W Q, Chen H Y, Konneker A, Popa B I, Cummer S A 2014 Nat. Commun. 5 5553

    [137]

    Tang K, Qiu C Y, Ke M Z 2014 Sci. Rep. 4 6517

    [138]

    Mei J, Wu Y 2014 New J. Phys. 16 123007

    [139]

    Zhu H F, Semperlotti F 2016 Phys. Rev. Lett. 117 034302

    [140]

    Zhai S L, Chen H J, Ding C L, Shen F L, Luo C R, Zhao X P 2015 Appl. Phys. A 120 1283

    [141]

    Zhai S L, Ding C L, Chen H J, Shen F L, Luo C R, Zhao X P 2016 J. Vib. Acoust. 138 041019

    [142]

    Song K, Kim J, Hur S, Kwak J H, Lee S H, Kim T 2016 Sci. Rep. 6 32300

    [143]

    Jiang X, Liang B, Zou X Y, Yang J, Yin L L, Yang J, Cheng J C 2016 Sci. Rep. 6 28023

    [144]

    Li Y, Shen C, Xie Y B, Li J F, Wang W Q, Cummer S A, Jing Y 2017 Phys. Rev. Lett. 119 035501

    [145]

    Xie B Y, Cheng H, Tang K, Liu Z Y, Chen S Q, Tian J G 2017 Phys. Rev. Appl. 7 024010

    [146]

    Liu B Y, Zhao W Y, Jiang Y Y 2016 Sci. Rep. 6 38314

    [147]

    Zhu Y F, Fan X D, Liang B, Cheng J C, Jing Y 2017 Phys. Rev. X 7 021034

    [148]

    Babaee S, Viard N, Wang P, Fang N X, Bertoldi K 2016 Adv. Mater. 28 1504469

    [149]

    Sun K H, Kim J E, Kim J, Song K 2017 Smart Mater. Struct. 26 075011

    [150]

    Bok E, Park J J, Choi H, Han C K, Wright O B, Lee S H 2018 Phys. Rev. Lett. 120 044302

    [151]

    Zhai S L, Chen H J, Ding C L, Li L L, Shen F L, Luo C R, Zhao X P 2016 J. Phys. D:Appl. Phys. 49 225302

    [152]

    Yang Y H, Wang H P, Yu F X, Xu Z W, Chen H S 2016 Sci. Rep. 6 20219

    [153]

    Esfahlani H, Karkar S, Lissek H, Mosig J R 2016 Phys. Rev. B 94 014302

    [154]

    Ma G C, Yang M, Xiao S W, Yang Z Y, Sheng P 2014 Nat. Mater. 13 873

    [155]

    Li J F, Wang W Q, Xie Y B, Popa B I, Cummer S A 2016 Appl. Phys. Lett. 109 091908

    [156]

    Zhou J, Zhang X, Fang Y 2017 Compos. Struct. 176 1005

    [157]

    Zhang C, Hu X H 2016 Phys. Rev. Appl. 6 064025

    [158]

    Jimenez N, Huang W, Romero-Garcia V, Pagneux V, Groby J P 2016 Appl. Phys. Lett. 109 121902

    [159]

    Li Y, Assouar B M 2016 Appl. Phys. Lett. 108 063502

    [160]

    Wang X L, Luo X D, Zhao H, Huang Z Y 2018 Appl. Phys. Lett. 112 021901

    [161]

    Wu X X, Au-Yeung K Y, Li X, Roberts R C, Tian J X, Hu C D, Huang Y Z, Wang S X, Yang Z Y, Wen W J 2018 Appl. Phys. Lett. 112 103505

    [162]

    Chen C R, Du Z B, Hu G K, Yang J 2017 Appl. Phys. Lett. 110 221903

    [163]

    Lani S, Sabra K G, Degertekin F L 2016 Appl. Phys. Lett. 108 084104

    [164]

    Chen M, Jiang H, Zhang H, Li D S, Wang Y R 2018 Sci. Rep. 8 41598

    [165]

    Esfahlani H, Karkar S, Lissek H, Mosig J R 2016 Sci.Rep. 6 18911

    [166]

    Xie Y B, Shen C, Wang W Q, Li J F, Suo D J, Popa B I, Jing Y, Cummer S A 2016 Sci. Rep. 6 35437

    [167]

    Song G Y, Huang B, Dong H Y, Cheng Q, Cui T J 2016 Sci. Rep. 6 35929

    [168]

    Zhang Z W, Wei Q, Cheng Y, Zhang T, Wu D J, Liu X J 2017 Phys. Rev. Lett. 118 084303

    [169]

    Yang Z J, Gao F, Shi X H, Lin X, Gao Z, Chong Y D, Zhang B L 2015 Phys. Rev. Lett. 114 114301

    [170]

    Yves S, Fleury R, Lemoult F, Fink M, Lerosey G 2017 New J. Phys. 19 075003

    [171]

    He C, Ni X, Ge H, Sun X C, Chen Y B, Lu M H, Liu X P, Chen Y F 2016 Nat. Phys. 12 1124

    [172]

    Lu J Y, Qiu C Y, Ye L P, Fan X Y, Ke M Z, Zhang F, Liu Z Y 2016 Nat. Phys. 13 369

  • [1] Sui Yu-Mei, He Zhao-Jian, Bi Ren-Gui, Kong Peng, Wu Ji-En, Zhao He-Ping, Deng Ke. Ultrathin acoustic metasurface carpet cloaking based on Helmholtz resonances. Acta Physica Sinica, 2024, 73(6): 064301. doi: 10.7498/aps.73.20231706
    [2] Bai Yu, Zhang Zhen-Fang, Yang Hai-Bin, Cai Li, Yu Dian-Long. Metasurface acoustic liner of engine based on asymmetric absorber. Acta Physica Sinica, 2023, 72(5): 054301. doi: 10.7498/aps.72.20222011
    [3] Xu Qiang-Rong, Zhu Yang, Lin Kang, Shen Cheng, Lu Tian-Jian. Low-frequency sound insulation performance of novel membrane acoustic metamaterial with dynamic negative stiffness. Acta Physica Sinica, 2022, 71(21): 214301. doi: 10.7498/aps.71.20221058
    [4] Xu Qiang-Rong, Shen Cheng, Han Feng, Lu Tian-Jian. Broadband low-frequency sound insulation performance of quasi-zero stiffness local resonant acoustic metamaterial plate. Acta Physica Sinica, 2021, 70(24): 244302. doi: 10.7498/aps.70.20211203
    [5] Shen Hui-Jie, Yu Dian-Long, Tang Zhi-Yin, Su Yong-Sheng, Li Yan-Fei, Liu Jiang-Wei. Characteristics of low-frequency noise elimination in a fluid-filled pipe of dark acoustic metamaterial type. Acta Physica Sinica, 2019, 68(14): 144301. doi: 10.7498/aps.68.20190311
    [6] Tian Yuan, Ge Hao, Lu Ming-Hui, Chen Yan-Feng. Research advances in acoustic metamaterials. Acta Physica Sinica, 2019, 68(19): 194301. doi: 10.7498/aps.68.20190850
    [7] He Zi-Hou, Zhao Jing-Bo, Yao Hong, Jiang Juan-Na, Chen Xin. Sound insulation performance of thin-film acoustic metamaterials based on piezoelectric materials. Acta Physica Sinica, 2019, 68(13): 134302. doi: 10.7498/aps.68.20190245
    [8] He Zi-Hou, Zhao Jing-Bo, Yao Hong, Chen Xin. Sound insulation performance of Helmholtz cavity with thin film bottom. Acta Physica Sinica, 2019, 68(21): 214302. doi: 10.7498/aps.68.20191131
    [9] Liu Shao-Gang, Zhao Yue-Chao, Zhao Dan. Bandgap and transmission spectrum characteristics of multilayered acoustic metamaterials with magnetorheological elastomer. Acta Physica Sinica, 2019, 68(23): 234301. doi: 10.7498/aps.68.20191334
    [10] Zhai Shi-Long, Wang Yuan-Bo, Zhao Xiao-Peng. A kind of tunable acoustic metamaterial for low frequency absorption. Acta Physica Sinica, 2019, 68(3): 034301. doi: 10.7498/aps.68.20181908
    [11] Zhang Feng-Hui,  Tang Yu-Fan,  Xin Feng-Xian,  Lu Tian-Jian. Micro-perforated acoustic metamaterial with honeycomb-corrugation hybrid core for broadband low frequency sound absorption. Acta Physica Sinica, 2018, 67(23): 234302. doi: 10.7498/aps.67.20181368
    [12] Zheng Sheng-Jie, Xia Bai-Zhan, Liu Ting-Ting, Yu De-Jie. Subwavelength topological valley-spin states in the space-coiling acoustic metamaterials. Acta Physica Sinica, 2017, 66(22): 228101. doi: 10.7498/aps.66.228101
    [13] Zhang Yong-Yan, Wu Jiu-Hui, Zhong Hong-Min. Low-frequency wide-band mechanism of a new type acoustic metamaterial with negative modulus. Acta Physica Sinica, 2017, 66(9): 094301. doi: 10.7498/aps.66.094301
    [14] Liu Song, Luo Chun-Rong, Zhai Shi-Long, Chen Huai-Jun, Zhao Xiao-Peng. Inverse Doppler effect of acoustic metamaterial with negative mass density. Acta Physica Sinica, 2017, 66(2): 024301. doi: 10.7498/aps.66.024301
    [15] Lu Zhi-Miao, Cai Li, Wen Ji-Hong, Wen Xi-Sen. Research on coordinate transformation design of a cylinderical acoustic cloak with pentamode materials. Acta Physica Sinica, 2016, 65(17): 174301. doi: 10.7498/aps.65.174301
    [16] Liu Jiao, Hou Zhi-Lin, Fu Xiu-Jun. Mechanism for local resonant acoustic metamaterial. Acta Physica Sinica, 2015, 64(15): 154302. doi: 10.7498/aps.64.154302
    [17] Sun Hong-Wei, Lin Guo-Chang, Du Xing-Wen, P.F. Pai. Simulation and experimental study of a metamaterial panel for mechanical wave absorption. Acta Physica Sinica, 2012, 61(15): 154302. doi: 10.7498/aps.61.154302
    [18] Shen Hui-Jie, Wen Ji-Hong, Yu Dian-Long, Cai Li, Wen Xi-Sen. Research on a cylindrical cloak with active acoustic metamaterial layers. Acta Physica Sinica, 2012, 61(13): 134303. doi: 10.7498/aps.61.134303
    [19] Ding Chang-Lin, Zhao Xiao-Peng, Hao Li-Mei, Zhu Wei-Ren. Acoustic metamaterial with split hollow spheres. Acta Physica Sinica, 2011, 60(4): 044301. doi: 10.7498/aps.60.044301
    [20] Ding Chang-Lin, Zhao Xiao-Peng. Audible sound metamaterial. Acta Physica Sinica, 2009, 58(9): 6351-6355. doi: 10.7498/aps.58.6351
Metrics
  • Abstract views:  15936
  • PDF Downloads:  1493
  • Cited By: 0
Publishing process
  • Received Date:  15 May 2018
  • Accepted Date:  10 July 2018
  • Published Online:  05 October 2018

/

返回文章
返回