Research advances in acoustic metamaterials

Tian Yuan; Ge Hao; Lu Ming-Hui; Chen Yan-Feng

doi:10.7498/aps.68.20190850

Abstract

Acoustic metamaterials have opened up unprecedented possibilities for wave manipulation, and can be utilized to realize many novel and fascinating physical phenomena, such as acoustic self-collimation, cloaking, asymmetric transmission, and negative refraction. In this review, we explore the fundamental physics of acoustic metamaterials and introduce several exciting developments, including the realization of unconventional effective parameters, acoustic metasurface, total sound absorption, high-resolution imaging, parity-time-symmetric materials, and topological acoustics. Acoustic metamatetials with negative effective parameters that are not observed in nature expand acoustic properties of natural materials. Acoustic metasurfaces can exhibit wavefront-shaping capabilities, with thickness being much smaller than the wavelength. The precisely designed matematerials provide the new possibility of steering waves on a subwavelength scale, which can be used for acoustic high-resolution imaging beyond the diffraction limit. The metamaterial absorbers can achieve total sound absorption at low frequencies and exhibit broadband absorption spectrum. Moreover, structure designs guided by the topological physics further broaden the whole field of acoustic metamaterials. Phononic crystals have become aflexible platform for studying new physics and exotic phenomenarelated to topological phases. Finally, we conclude the developments of acoustic metamaterials, discuss the technical challenges, and introduce potential applications in this emerging field.

Keywords:

Authors and contacts

1.
Department of Materials Science and Engineering, College of Engineering and Applied Sciences,Nanjing University, Nanjing 210093, China
2.
Collaborative Innovation Center of Advanced Microstructures, Nanjing University, Nanjing 210093, China

Corresponding author: Lu Ming-Hui, luminghui@nju.edu.cn

Funds: Project supported by the National Key R&D Program of China (Grant Nos. 2017YFA0303702, 2018YFA0306200), the National Natural Science Foundation of China (Grant Nos. 51732006, 11474158, 11804149), and the Young Scientists Fund of the National Natural Science Foundation of China (Grant No.11625418)

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References

[1]	Liu Z Y, Zhang X X, Mao Y W, Zhu Y Y, Yang Z, Chan C T, Sheng P 2000 Science 289 1734 Google Scholar
[2]	Zheludev N I, Kivshar Y S 2012 Nat. Mater. 11 917 Google Scholar
[3]	Cummer S A, Christensen J, Alù A 2016 Nat. Rev. Mater. 1 16001 Google Scholar
[4]	Pendry J B 2000 Phys. Rev. Lett. 85 3966 Google Scholar
[5]	Kaina N, Lemoult F, Fink M, Lerosey G 2015 Nature 525 77 Google Scholar
[6]	Yang Z Y, Mei J, Yang M, Chan N, Sheng P 2008 Phys. Rev. Lett. 101 204301 Google Scholar
[7]	Fang N, Xi D, Xu J, Ambati M, Srituravanich W, Sun C, Zhang X 2006 Nat. Mater. 5 452 Google Scholar
[8]	Christensen J, Martín-Moreno L, García-Vidal F J 2010 Appl. Phys. Lett. 97 134106 Google Scholar
[9]	Li J, Chan C T 2004 Phys. Rev. E 70 055602 Google Scholar
[10]	Lee S H, Park C M, Seo Y M, Wang Z G, Kim C K 2010 Phys. Rev. Lett. 104 054301 Google Scholar
[11]	Brunet T, Merlin A, Mascaro B, Zimny K, Leng J, Poncelet O, Aristégui C, Mondain-Monval O 2015 Nat. Mater. 14 384
[12]	Liang Z X, Li J S 2012 Phys. Rev. Lett. 108 114301 Google Scholar
[13]	Xie Y B, Popa B, Zigoneanu L, Cummer S A 2013 Phys. Rev. Lett. 110 175501 Google Scholar
[14]	Christensen J, de Abajo F J G 2012 Phys. Rev. Lett. 108 124301 Google Scholar
[15]	García-Chocano V M, Christensen J, Sánchez-Dehesa J 2014 Phys. Rev. Lett. 112 144301 Google Scholar
[16]	Fleury R, Alù A 2013 Phys. Rev. Lett. 111 055501 Google Scholar
[17]	Liberal I, Engheta N 2017 Nat. Photon. 11 149 Google Scholar
[18]	Dubois M, Shi C Z, Zhu X F, Wang Y, Zhang X 2017 Nat. Commun. 8 14871 Google Scholar
[19]	Assouar B, Liang B, Wu Y, Li Y, Cheng J C, Jing Y 2018 Nat. Rev. Mater. 3 460 Google Scholar
[20]	Yu N, Genevet P, Kats M A, Aieta F, Tetienne J P, Capasso F, Gaburro Z 2011 Science 334 333 Google Scholar
[21]	Li Y, Liang B, Gu Z M, Zou X Y, Cheng J C 2013 Sci. Rep. 3 2546 Google Scholar
[22]	Li Y, Jiang X, Liang B, Cheng J C, Zhang L K 2015 Phys. Rev. Appl. 4 024003 Google Scholar
[23]	Melde K, Mark A G, Qiu T, Fischer P 2016 Nature 537 518 Google Scholar
[24]	Xie Y, Shen C, Wang W, Li J, Suo D, Popa B I, Jing Y, Cummer S A 2016 Sci. Rep. 6 35437 Google Scholar
[25]	Zhu Y, Hu J, Fan X, Yang J, Liang B, Zhu X, Cheng J 2018 Nat. Commun. 9 1632 Google Scholar
[26]	Shi C Z, Dubois M, Wang Y, Zhang X 2017 Proc. Natl. Acad. Sci. USA 114 7250 Google Scholar
[27]	Jiang X, Liang B, Cheng J C, Qiu C W 2018 Adv. Mater. 30 1800257 Google Scholar
[28]	Jiang X, Li Y, Liang B, Cheng J C, Zhang L K 2016 Phys. Rev. Lett. 117 034301 Google Scholar
[29]	Ma G C, Fan X Y, Sheng P, Fink M 2018 Proc. Natl. Acad. Sci. USA 115 6638 Google Scholar
[30]	Li Y, Assouar B M 2016 Appl. Phys. Lett. 108 063502
[31]	Shen C, Cummer S A 2018 Phys. Rev. Appl. 9 054009 Google Scholar
[32]	Jiménez N, Huang W, Romero-García V, Pagneux V, Groby J P 2016 Appl. Phys. Lett. 109 121902 Google Scholar
[33]	Chen J, Xiao J, Lisevych D, Shakouri A, Fan Z 2018 Nat. Commun. 9 4920 Google Scholar
[34]	Ma F Y, Huang M, Xu Y C, Wu J H 2018 Sci. Rep. 8 5906 Google Scholar
[35]	Li J F, Shen C, Díaz-Rubio A, Tretyakov S A, Cummer S A 2018 Nat.Commun. 9 1342 Google Scholar
[36]	Quan L, Ra’di Y, Sounas D L, Alù A 2018 Phys. Rev. Lett. 120 254301 Google Scholar
[37]	Lu M H, Feng L, Chen Y F 2009 Mater. Today 12 34
[38]	Ge H, Yang M, Ma C, Lu M H, Chen Y F, Fang N, Sheng P 2018 Natl. Sci. Rev. 5 159 Google Scholar
[39]	Yang M, Sheng P 2017 Annu. Rev. Mater. Res. 47 83 Google Scholar
[40]	Yang M, Meng C, Fu C X, Li Y, Yang Z Y, Sheng P 2015 Appl. Phys. Lett. 107 104104 Google Scholar
[41]	Ma G C, Yang M, Xiao S W, Yang Z Y, Sheng P 2014 Nat. Mater. 13 873 Google Scholar
[42]	Jiménez N, Romero-García V, Pagneux V, Groby J P 2017 Phys. Rev. B 95 014205 Google Scholar
[43]	Jiang X, Liang B, Li R Q, Zou X Y, Yin L L, Cheng J C 2014 Appl. Phys. Lett. 105 243505
[44]	Yang M, Chen S Y, Fu C X, Sheng P 2017 Mater. Horiz. 4 673 Google Scholar
[45]	Ma G C, Sheng P 2016 Sci. Adv. 2 e1501595 Google Scholar
[46]	Lemoult F, Fink M, Lerosey G 2011 Phys. Rev. Lett. 107 064301 Google Scholar
[47]	Lemoult F, Kaina N, Fink M, Lerosey G 2013 Nat. Phys. 9 55
[48]	Park J J, Park C M, Lee K J B, Lee S H 2015 Appl. Phys. Lett. 106 051901 Google Scholar
[49]	Ambati M, Fang N, Sun C, Zhang X 2007 Phys. Rev. B 75 195447 Google Scholar
[50]	Park C M, Park J J, Lee S H, Seo Y M, Kim C K, Lee S H 2011 Phys. Rev. Lett. 107 194301 Google Scholar
[51]	Zhu J, Christensen J, Jung J, Martin-Moreno L, Yin X, Fok L, Zhang X, Garcia-Vidal F J 2011 Nat. Phys. 7 52
[52]	Li J, Fok L, Yin X, Bartal G, Zhang X 2009 Nat. Mater. 8 931 Google Scholar
[53]	Ma G C, Fan X Y, Ma F Y, de Rosny J, Sheng P, Fink M 2018 Nat. Phys. 14 608 Google Scholar
[54]	Lanoy M, Pierrat R, Lemoult F, Fink M, Leroy V, Tourin A 2015 Phys. Rev. B 91 224202 Google Scholar
[55]	Lemoult F, Fink M, Lerosey G 2011 Waves in Random and Complex Media 21 614
[56]	Bender C M, Boettcher S 1998 Phys. Rev. Lett. 80 5243 Google Scholar
[57]	Chong Y D, Ge L, Stone A D 2011 Phys. Rev. Lett. 106 093902 Google Scholar
[58]	Feng L, Xu Y L, Fegadolli W S, Lu M H, Oliveira J E B, Almeida V R, Chen Y F, Scherer A 2013 Nat. Mater. 12 108
[59]	Chang L, Jiang X S, Hua S Y, Yang C, Wen J M, Jiang L, Li G, Wang G Z, Xiao M 2014 Nat. Photon. 8 524 Google Scholar
[60]	Feng L, Wong Z J, Ma R M, Wang Y, Zhang X 2014 Science 346 972 Google Scholar
[61]	Zhu X F, Ramezani H, Shi C Z, Zhu J, Zhang X 2014 Phys. Rev. X 4 031042
[62]	Shi C Z, Dubois M, Chen Y, Cheng L, Ramezani H, Wang Y, Zhang X 2016 Nat. Commun. 7 11110 Google Scholar
[63]	Fleury R, Sounas D L, Alù A 2016 IEEE J. Sel. Top. Quant. 22 121 Google Scholar
[64]	Aurégan Y, Pagneux V 2017 Phys. Rev. Lett. 118 174301 Google Scholar
[65]	Christensen J, Willatzen M, Velasco V R, Lu M H 2016 Phys. Rev. Lett. 116 207601 Google Scholar
[66]	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 Google Scholar
[67]	Lu M H, Liu X K, Feng L, Li J, Huang C P, Chen Y F, Zhu Y Y, Zhu S N, Ming N B 2007 Phys. Rev. Lett. 99 174301 Google Scholar
[68]	Haldane F D M, Raghu S 2008 Phys. Rev. Lett. 100 013904 Google Scholar
[69]	Wang Z, Chong Y, Joannopoulos J D, Soljačić M 2009 Nature 461 772 Google Scholar
[70]	Fleury R, Sounas D L, Sieck C F, Haberman M R, Alù A 2014 Science 343 516 Google Scholar
[71]	Ni X, He C, Sun X C, Liu X P, Lu M H, Feng L, Chen Y F 2015 New J. Phys. 17 053016 Google Scholar
[72]	Ding Y J, Peng Y G, Zhu Y F, Fan X D, Yang J, Liang B, Zhu X F, Wan X G, Cheng J C 2019 Phys. Rev. Lett. 122 014302 Google Scholar
[73]	Kane C L, Mele E J 2005 Phys. Rev. Lett. 95 146802 Google Scholar
[74]	König M, Wiedmann S, Brüne C, Roth A, Buhmann H, Molenkamp L W, Qi X L, Zhang S C 2007 Science 318 766 Google Scholar
[75]	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 Google Scholar
[76]	Yu S Y, He C, Wang Z, Liu F K, Sun X C, Li Z, Lu H Z, Lu M H, Liu X P, Chen Y F 2018 Nat. Commun. 9 3072 Google Scholar
[77]	Lu J Y, Qiu C Y, Ye L P, Fan X Y, Ke M Z, Zhang F, Liu Z Y 2017 Nat. Phys. 13 369
[78]	Wang Z, Yu S Y, Liu F K, Tian Y, Gupta S K, Lu M H, Chen Y F 2018 Appl. Phys. Express 11 107301 Google Scholar
[79]	Wang Z, Liu F K, Yu S Y, Yan S L, Lu M H, Jing Y, Chen Y F 2019 J. Appl. Phys. 125 044502 Google Scholar
[80]	He C, Yu S Y, Ge H, Wang H Q, Tian Y, Zhang H J, Sun X C, Chen Y B, Zhou J, Lu M H, Chen Y F 2018 Nat. Commun. 9 4555 Google Scholar
[81]	Popa B I, Zigoneanu L, Cummer S A 2011 Phys. Rev. Lett. 106 253901 Google Scholar
[82]	Zigoneanu L, Popa B I, Cummer S A 2014 Nat. Mater. 13 352 Google Scholar
[83]	Li X F, Ni X, Feng L, Lu M H, He C, Chen Y F 2011 Phys. Rev. Lett. 106 084301 Google Scholar
[84]	Valentine J, Zhang S, Zentgraf T, Ulin-Avila E, Genov D A, Bartal G, Zhang X 2008 Nature 455 376 Google Scholar
[85]	Xiao S, Drachev V P, Kildishev A V, Ni X, Chettiar U K, Yuan H-K, Shalaev V M 2010 Nature 466 735 Google Scholar
[86]	Schurig D, Mock J J, Justice B J, Cummer S A, Pendry J B, Starr A F, Smith D R 2006 Science 314 977 Google Scholar
[87]	Watts C M, Liu X, Padilla W J 2012 Adv. Mater. 24 OP98
[88]	Berger J B, Wadley H N G, McMeeking R M 2017 Nature 543 533 Google Scholar
[89]	Frenzel T, Kadic M, Wegener M 2017 Science 358 1072 Google Scholar
[90]	Han T C, Bai X, Liu D, Gao D L, Li B, Thong J T L, Qiu C W 2015 Sci. Rep. 5 10242 Google Scholar
[91]	Han T C, Bai X, Thong J T L, Li B W, Qiu C W 2014 Adv. Mater. 26 1731 Google Scholar

Cited By

图 1 弹性模量ρ和体弹性模量K的参数空间图　(a) 负质量密度超构材料, ρ < 0, K > 0; (b) 天然材料, ρ > 0, K > 0; (c) 双负超构材料, ρ < 0, K < 0; (d) 负体弹性模量超构材料, ρ > 0, K < 0

Figure 1. Parameter space for mass density ρ and bulk modulus K:　(a) Metamaterials with negative effective mass density, ρ < 0, K > 0; (b) natural materials, ρ > 0, K > 0; (c) double-negative metamaterials, ρ < 0, K < 0; (d) metamaterials with negative effective bulk modulus, ρ > 0, K < 0

DownLoad: Full-Size Img PowerPoint

图 2 (a)斯涅耳定律; (b)广义斯涅耳定律

Figure 2. (a) Snell’s law; (b) generalized Snell’s law.

DownLoad: Full-Size Img PowerPoint

图 3 声学超构表面的三种典型形式及其物理效应　(a)反射型超构表面; (b)透射型超构表面; (c)吸收型超构表面;(d)自弯曲波束调控; (e)声学全息成像; (f)低频完美吸声体

Figure 3. Three typical forms of acoustic metasurfaces and their physical effects:　(a) Reflective metasurfaces; (b) transmissive metasurfaces; (c) absorbing metasurfaces; (d) the self-bending beam; (e) acoustic holographic imaging; (f) perfect sound absorber at low frequency

DownLoad: Full-Size Img PowerPoint

图 4 吸声超构材料　(a)薄膜型结构; (b)亥姆赫兹共振结构; (c) Fabry-Pérot共振结构; (d)优化的宽频吸声谱

Figure 4. Sound absorbing metamaterial:　(a) Membrane-type structure; (b) Helmholtz resonator structure; (c) Fabry-Pérot resonator structure; (d) optimized broadband sound absorption spectrum

DownLoad: Full-Size Img PowerPoint

图 5 (a)负折射声学超透镜; (b)管道结构透镜; (c)扇形声学透镜; (d)薄膜结构超材料

Figure 5. (a) Acoustic superlens with negative refractive; (b) holey-structured metamaterial lens; (c) fin-shaped acoustic lens; (d) membrane-type metamaterial.

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图 6 (a)引入环流的声学陈绝缘体及其投影能带; (b)基于模式杂化的声学拓扑绝缘体结构及其投影能带; (c)引入滑移对称性的三维拓扑声子晶体及其投影能带

Figure 6. (a) Acoustic topological Chern insulator by incorporating the circulating flow and its projected energy band; (b) acoustic topological insulator based on hybridized modes and its projected energy band; (c) three-dimensional topological acoustic crystals with glide symmetry and its projected energy band.

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[1]	Liu Z Y, Zhang X X, Mao Y W, Zhu Y Y, Yang Z, Chan C T, Sheng P 2000 Science 289 1734 Google Scholar
[2]	Zheludev N I, Kivshar Y S 2012 Nat. Mater. 11 917 Google Scholar
[3]	Cummer S A, Christensen J, Alù A 2016 Nat. Rev. Mater. 1 16001 Google Scholar
[4]	Pendry J B 2000 Phys. Rev. Lett. 85 3966 Google Scholar
[5]	Kaina N, Lemoult F, Fink M, Lerosey G 2015 Nature 525 77 Google Scholar
[6]	Yang Z Y, Mei J, Yang M, Chan N, Sheng P 2008 Phys. Rev. Lett. 101 204301 Google Scholar
[7]	Fang N, Xi D, Xu J, Ambati M, Srituravanich W, Sun C, Zhang X 2006 Nat. Mater. 5 452 Google Scholar
[8]	Christensen J, Martín-Moreno L, García-Vidal F J 2010 Appl. Phys. Lett. 97 134106 Google Scholar
[9]	Li J, Chan C T 2004 Phys. Rev. E 70 055602 Google Scholar
[10]	Lee S H, Park C M, Seo Y M, Wang Z G, Kim C K 2010 Phys. Rev. Lett. 104 054301 Google Scholar
[11]	Brunet T, Merlin A, Mascaro B, Zimny K, Leng J, Poncelet O, Aristégui C, Mondain-Monval O 2015 Nat. Mater. 14 384
[12]	Liang Z X, Li J S 2012 Phys. Rev. Lett. 108 114301 Google Scholar
[13]	Xie Y B, Popa B, Zigoneanu L, Cummer S A 2013 Phys. Rev. Lett. 110 175501 Google Scholar
[14]	Christensen J, de Abajo F J G 2012 Phys. Rev. Lett. 108 124301 Google Scholar
[15]	García-Chocano V M, Christensen J, Sánchez-Dehesa J 2014 Phys. Rev. Lett. 112 144301 Google Scholar
[16]	Fleury R, Alù A 2013 Phys. Rev. Lett. 111 055501 Google Scholar
[17]	Liberal I, Engheta N 2017 Nat. Photon. 11 149 Google Scholar
[18]	Dubois M, Shi C Z, Zhu X F, Wang Y, Zhang X 2017 Nat. Commun. 8 14871 Google Scholar
[19]	Assouar B, Liang B, Wu Y, Li Y, Cheng J C, Jing Y 2018 Nat. Rev. Mater. 3 460 Google Scholar
[20]	Yu N, Genevet P, Kats M A, Aieta F, Tetienne J P, Capasso F, Gaburro Z 2011 Science 334 333 Google Scholar
[21]	Li Y, Liang B, Gu Z M, Zou X Y, Cheng J C 2013 Sci. Rep. 3 2546 Google Scholar
[22]	Li Y, Jiang X, Liang B, Cheng J C, Zhang L K 2015 Phys. Rev. Appl. 4 024003 Google Scholar
[23]	Melde K, Mark A G, Qiu T, Fischer P 2016 Nature 537 518 Google Scholar
[24]	Xie Y, Shen C, Wang W, Li J, Suo D, Popa B I, Jing Y, Cummer S A 2016 Sci. Rep. 6 35437 Google Scholar
[25]	Zhu Y, Hu J, Fan X, Yang J, Liang B, Zhu X, Cheng J 2018 Nat. Commun. 9 1632 Google Scholar
[26]	Shi C Z, Dubois M, Wang Y, Zhang X 2017 Proc. Natl. Acad. Sci. USA 114 7250 Google Scholar
[27]	Jiang X, Liang B, Cheng J C, Qiu C W 2018 Adv. Mater. 30 1800257 Google Scholar
[28]	Jiang X, Li Y, Liang B, Cheng J C, Zhang L K 2016 Phys. Rev. Lett. 117 034301 Google Scholar
[29]	Ma G C, Fan X Y, Sheng P, Fink M 2018 Proc. Natl. Acad. Sci. USA 115 6638 Google Scholar
[30]	Li Y, Assouar B M 2016 Appl. Phys. Lett. 108 063502
[31]	Shen C, Cummer S A 2018 Phys. Rev. Appl. 9 054009 Google Scholar
[32]	Jiménez N, Huang W, Romero-García V, Pagneux V, Groby J P 2016 Appl. Phys. Lett. 109 121902 Google Scholar
[33]	Chen J, Xiao J, Lisevych D, Shakouri A, Fan Z 2018 Nat. Commun. 9 4920 Google Scholar
[34]	Ma F Y, Huang M, Xu Y C, Wu J H 2018 Sci. Rep. 8 5906 Google Scholar
[35]	Li J F, Shen C, Díaz-Rubio A, Tretyakov S A, Cummer S A 2018 Nat.Commun. 9 1342 Google Scholar
[36]	Quan L, Ra’di Y, Sounas D L, Alù A 2018 Phys. Rev. Lett. 120 254301 Google Scholar
[37]	Lu M H, Feng L, Chen Y F 2009 Mater. Today 12 34
[38]	Ge H, Yang M, Ma C, Lu M H, Chen Y F, Fang N, Sheng P 2018 Natl. Sci. Rev. 5 159 Google Scholar
[39]	Yang M, Sheng P 2017 Annu. Rev. Mater. Res. 47 83 Google Scholar
[40]	Yang M, Meng C, Fu C X, Li Y, Yang Z Y, Sheng P 2015 Appl. Phys. Lett. 107 104104 Google Scholar
[41]	Ma G C, Yang M, Xiao S W, Yang Z Y, Sheng P 2014 Nat. Mater. 13 873 Google Scholar
[42]	Jiménez N, Romero-García V, Pagneux V, Groby J P 2017 Phys. Rev. B 95 014205 Google Scholar
[43]	Jiang X, Liang B, Li R Q, Zou X Y, Yin L L, Cheng J C 2014 Appl. Phys. Lett. 105 243505
[44]	Yang M, Chen S Y, Fu C X, Sheng P 2017 Mater. Horiz. 4 673 Google Scholar
[45]	Ma G C, Sheng P 2016 Sci. Adv. 2 e1501595 Google Scholar
[46]	Lemoult F, Fink M, Lerosey G 2011 Phys. Rev. Lett. 107 064301 Google Scholar
[47]	Lemoult F, Kaina N, Fink M, Lerosey G 2013 Nat. Phys. 9 55
[48]	Park J J, Park C M, Lee K J B, Lee S H 2015 Appl. Phys. Lett. 106 051901 Google Scholar
[49]	Ambati M, Fang N, Sun C, Zhang X 2007 Phys. Rev. B 75 195447 Google Scholar
[50]	Park C M, Park J J, Lee S H, Seo Y M, Kim C K, Lee S H 2011 Phys. Rev. Lett. 107 194301 Google Scholar
[51]	Zhu J, Christensen J, Jung J, Martin-Moreno L, Yin X, Fok L, Zhang X, Garcia-Vidal F J 2011 Nat. Phys. 7 52
[52]	Li J, Fok L, Yin X, Bartal G, Zhang X 2009 Nat. Mater. 8 931 Google Scholar
[53]	Ma G C, Fan X Y, Ma F Y, de Rosny J, Sheng P, Fink M 2018 Nat. Phys. 14 608 Google Scholar
[54]	Lanoy M, Pierrat R, Lemoult F, Fink M, Leroy V, Tourin A 2015 Phys. Rev. B 91 224202 Google Scholar
[55]	Lemoult F, Fink M, Lerosey G 2011 Waves in Random and Complex Media 21 614
[56]	Bender C M, Boettcher S 1998 Phys. Rev. Lett. 80 5243 Google Scholar
[57]	Chong Y D, Ge L, Stone A D 2011 Phys. Rev. Lett. 106 093902 Google Scholar
[58]	Feng L, Xu Y L, Fegadolli W S, Lu M H, Oliveira J E B, Almeida V R, Chen Y F, Scherer A 2013 Nat. Mater. 12 108
[59]	Chang L, Jiang X S, Hua S Y, Yang C, Wen J M, Jiang L, Li G, Wang G Z, Xiao M 2014 Nat. Photon. 8 524 Google Scholar
[60]	Feng L, Wong Z J, Ma R M, Wang Y, Zhang X 2014 Science 346 972 Google Scholar
[61]	Zhu X F, Ramezani H, Shi C Z, Zhu J, Zhang X 2014 Phys. Rev. X 4 031042
[62]	Shi C Z, Dubois M, Chen Y, Cheng L, Ramezani H, Wang Y, Zhang X 2016 Nat. Commun. 7 11110 Google Scholar
[63]	Fleury R, Sounas D L, Alù A 2016 IEEE J. Sel. Top. Quant. 22 121 Google Scholar
[64]	Aurégan Y, Pagneux V 2017 Phys. Rev. Lett. 118 174301 Google Scholar
[65]	Christensen J, Willatzen M, Velasco V R, Lu M H 2016 Phys. Rev. Lett. 116 207601 Google Scholar
[66]	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 Google Scholar
[67]	Lu M H, Liu X K, Feng L, Li J, Huang C P, Chen Y F, Zhu Y Y, Zhu S N, Ming N B 2007 Phys. Rev. Lett. 99 174301 Google Scholar
[68]	Haldane F D M, Raghu S 2008 Phys. Rev. Lett. 100 013904 Google Scholar
[69]	Wang Z, Chong Y, Joannopoulos J D, Soljačić M 2009 Nature 461 772 Google Scholar
[70]	Fleury R, Sounas D L, Sieck C F, Haberman M R, Alù A 2014 Science 343 516 Google Scholar
[71]	Ni X, He C, Sun X C, Liu X P, Lu M H, Feng L, Chen Y F 2015 New J. Phys. 17 053016 Google Scholar
[72]	Ding Y J, Peng Y G, Zhu Y F, Fan X D, Yang J, Liang B, Zhu X F, Wan X G, Cheng J C 2019 Phys. Rev. Lett. 122 014302 Google Scholar
[73]	Kane C L, Mele E J 2005 Phys. Rev. Lett. 95 146802 Google Scholar
[74]	König M, Wiedmann S, Brüne C, Roth A, Buhmann H, Molenkamp L W, Qi X L, Zhang S C 2007 Science 318 766 Google Scholar
[75]	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 Google Scholar
[76]	Yu S Y, He C, Wang Z, Liu F K, Sun X C, Li Z, Lu H Z, Lu M H, Liu X P, Chen Y F 2018 Nat. Commun. 9 3072 Google Scholar
[77]	Lu J Y, Qiu C Y, Ye L P, Fan X Y, Ke M Z, Zhang F, Liu Z Y 2017 Nat. Phys. 13 369
[78]	Wang Z, Yu S Y, Liu F K, Tian Y, Gupta S K, Lu M H, Chen Y F 2018 Appl. Phys. Express 11 107301 Google Scholar
[79]	Wang Z, Liu F K, Yu S Y, Yan S L, Lu M H, Jing Y, Chen Y F 2019 J. Appl. Phys. 125 044502 Google Scholar
[80]	He C, Yu S Y, Ge H, Wang H Q, Tian Y, Zhang H J, Sun X C, Chen Y B, Zhou J, Lu M H, Chen Y F 2018 Nat. Commun. 9 4555 Google Scholar
[81]	Popa B I, Zigoneanu L, Cummer S A 2011 Phys. Rev. Lett. 106 253901 Google Scholar
[82]	Zigoneanu L, Popa B I, Cummer S A 2014 Nat. Mater. 13 352 Google Scholar
[83]	Li X F, Ni X, Feng L, Lu M H, He C, Chen Y F 2011 Phys. Rev. Lett. 106 084301 Google Scholar
[84]	Valentine J, Zhang S, Zentgraf T, Ulin-Avila E, Genov D A, Bartal G, Zhang X 2008 Nature 455 376 Google Scholar
[85]	Xiao S, Drachev V P, Kildishev A V, Ni X, Chettiar U K, Yuan H-K, Shalaev V M 2010 Nature 466 735 Google Scholar
[86]	Schurig D, Mock J J, Justice B J, Cummer S A, Pendry J B, Starr A F, Smith D R 2006 Science 314 977 Google Scholar
[87]	Watts C M, Liu X, Padilla W J 2012 Adv. Mater. 24 OP98
[88]	Berger J B, Wadley H N G, McMeeking R M 2017 Nature 543 533 Google Scholar
[89]	Frenzel T, Kadic M, Wegener M 2017 Science 358 1072 Google Scholar
[90]	Han T C, Bai X, Liu D, Gao D L, Li B, Thong J T L, Qiu C W 2015 Sci. Rep. 5 10242 Google Scholar
[91]	Han T C, Bai X, Thong J T L, Li B W, Qiu C W 2014 Adv. Mater. 26 1731 Google Scholar

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Vol. 68, Issue 19 - 2019-10-05

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