声学超材料与超表面研究进展

丁昌林; 董仪宝; 赵晓鹏

doi:10.7498/aps.67.20180963

摘要

声学超材料是一种人工设计结构的材料，具有超越自然界材料行为的特性，如负折射、反常多普勒效应、平面聚焦等.本文主要介绍了声学超材料近二十年来的相关研究进展，重点论述了超原子声学超材料、超分子声学超材料、超原子簇和超分子簇声学超材料.最后简要介绍了近五年来声学超表面的研究概况和发展趋势.

关键词:

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.

Keywords:

作者及机构信息

1.
西北工业大学理学院智能材料实验室, 西安 710129

通信作者: 赵晓鹏, xpzhao@nwpu.edu.cn

基金项目: 国家自然科学基金（批准号：11674267，51272215，11404261）和中央高校基本科研业务费专项资金（批准号：3102017zy015）资助的课题.

Authors and contacts

1.
Smart Materials Laboratory, School of Science, Northwestern Polytechnical University, Xi'an 710129, China

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).

参考文献

[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

施引文献

[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]	隋玉梅, 何兆剑, 毕仁贵, 孔鹏, 吴吉恩, 赵鹤平, 邓科. 基于亥姆霍兹共振的超薄弧形声学超表面地毯斗篷. 物理学报, 2024, 73(6): 064301. doi: 10.7498/aps.73.20231706
[2]	白宇, 张振方, 杨海滨, 蔡力, 郁殿龙. 基于非对称吸声器的发动机声学超表面声衬. 物理学报, 2023, 72(5): 054301. doi: 10.7498/aps.72.20222011
[3]	胥强荣, 朱洋, 林康, 沈承, 卢天健. 一种具有动态磁负刚度薄膜声学超材料的低频隔声特性. 物理学报, 2022, 71(21): 214301. doi: 10.7498/aps.71.20221058
[4]	胥强荣, 沈承, 韩峰, 卢天健. 一种准零刚度声学超材料板的低频宽频带隔声行为. 物理学报, 2021, 70(24): 244302. doi: 10.7498/aps.70.20211203
[5]	沈惠杰, 郁殿龙, 汤智胤, 苏永生, 李雁飞, 刘江伟. 暗声学超材料型充液管道的低频消声特性. 物理学报, 2019, 68(14): 144301. doi: 10.7498/aps.68.20190311
[6]	田源, 葛浩, 卢明辉, 陈延峰. 声学超构材料及其物理效应的研究进展. 物理学报, 2019, 68(19): 194301. doi: 10.7498/aps.68.20190850
[7]	贺子厚, 赵静波, 姚宏, 蒋娟娜, 陈鑫. 基于压电材料的薄膜声学超材料隔声性能研究. 物理学报, 2019, 68(13): 134302. doi: 10.7498/aps.68.20190245
[8]	贺子厚, 赵静波, 姚宏, 陈鑫. 薄膜底面Helmholtz腔声学超材料的隔声性能. 物理学报, 2019, 68(21): 214302. doi: 10.7498/aps.68.20191131
[9]	刘少刚, 赵跃超, 赵丹. 基于磁流变弹性体多包覆层声学超材料带隙及传输谱特性. 物理学报, 2019, 68(23): 234301. doi: 10.7498/aps.68.20191334
[10]	翟世龙, 王元博, 赵晓鹏. 基于声学超材料的低频可调吸收器. 物理学报, 2019, 68(3): 034301. doi: 10.7498/aps.68.20181908
[11]	张丰辉, 唐宇帆, 辛锋先, 卢天健. 微穿孔蜂窝-波纹复合声学超材料吸声行为. 物理学报, 2018, 67(23): 234302. doi: 10.7498/aps.67.20181368
[12]	郑圣洁, 夏百战, 刘亭亭, 于德介. 空间盘绕型声学超材料的亚波长拓扑谷自旋态. 物理学报, 2017, 66(22): 228101. doi: 10.7498/aps.66.228101
[13]	张永燕, 吴九汇, 钟宏民. 新型负模量声学超结构的低频宽带机理研究. 物理学报, 2017, 66(9): 094301. doi: 10.7498/aps.66.094301
[14]	刘松, 罗春荣, 翟世龙, 陈怀军, 赵晓鹏. 负质量密度声学超材料的反常多普勒效应. 物理学报, 2017, 66(2): 024301. doi: 10.7498/aps.66.024301
[15]	陆智淼, 蔡力, 温激鸿, 温熙森. 基于五模材料的圆柱声隐身斗篷坐标变换设计. 物理学报, 2016, 65(17): 174301. doi: 10.7498/aps.65.174301
[16]	刘娇, 侯志林, 傅秀军. 局域共振型声学超材料机理探讨. 物理学报, 2015, 64(15): 154302. doi: 10.7498/aps.64.154302
[17]	孙宏伟, 林国昌, 杜星文, P.F. Pai. 一种新型声学超材料平板对机械波吸收性能的模拟与实验研究. 物理学报, 2012, 61(15): 154302. doi: 10.7498/aps.61.154302
[18]	沈惠杰, 温激鸿, 郁殿龙, 蔡力, 温熙森. 基于主动声学超材料的圆柱声隐身斗篷设计研究. 物理学报, 2012, 61(13): 134303. doi: 10.7498/aps.61.134303
[19]	丁昌林, 赵晓鹏, 郝丽梅, 朱卫仁. 一种基于开口空心球的声学超材料. 物理学报, 2011, 60(4): 044301. doi: 10.7498/aps.60.044301
[20]	丁昌林, 赵晓鹏. 可听声频段的声学超材料. 物理学报, 2009, 58(9): 6351-6355. doi: 10.7498/aps.58.6351

计量

文章访问数: 18714
PDF下载量: 1655
被引次数: 0

姓名
邮箱
手机号码
标题
留言内容
验证码

搜索

留言板