Acoustic focusing lens with near-zero refractive index based on coiling-up space structure

Sun Hong-Xiang; Fang Xin; Ge Yong; Ren Xu-Dong; Yuan Shou-Qi

doi:10.7498/aps.66.244301

Abstract

An acoustic focusing lens based on a coiling-up space structure with near-zero refractive index is studied. According to the direction selection mechanism for acoustic waves in a near-zero refractive index material, we adopt the coiling-up space structure as a basic unit for arrangement, and design a geometric structure with specific incident and outgoing interfaces which is used to manipulate the outgoing direction of transmitted wave. Thus, the focusing effects for plane acoustic wave and cylindrical acoustic wave are realized. Besides, the influences of rigid scatterers inside the lens on the focusing performance are also discussed in detail. Moreover, the shape and direction of the acoustic waveform can be manipulated accurately by changing the outgoing interface of the lens with the near-zero refractive index. The results show that the lens with a single and two circular surfaces could realize the focusing effects of the plane and cylindrical acoustic waves, respectively, and the rigid scatterers inside the lens have no effects on the focusing performance. In addition, the cylindrical acoustic wave could be transformed into the plane acoustic wave through the lens with the circular incident surface and the plane exit surface, and the inclined angle of the exit surface could be used to manipulate the propagation direction of the plane wave. The simulation results between the lenses composed of the coiling-up space structure and the effective medium are in good agreement with each other. This type of lens has the advantages of single cell structure, high focusing performance, and high robustness. This work provides theoretical guidance and experimental reference for designing a novel acoustic focusing lens with the near-zero refractive index, and offers a new idea for studying the manipulation of the acoustic waveforms.

Keywords:

Authors and contacts

1.
Research Center of Fluid Machinery Engineering and Technology, Faculty of Science, Jiangsu University, Zhenjiang 212013, China;
2.
State Key Laboratory of Acoustics, Institute of Acoustics, Chinese Academy of Sciences, Beijing 100190, China

Corresponding author: Sun Hong-Xiang, jsdxshx@ujs.edu.cn;Shouqiy@ujs.edu.cn ; Yuan Shou-Qi, jsdxshx@ujs.edu.cn;Shouqiy@ujs.edu.cn

Funds: Project supported by the National Natural Science Foundation of China (Grant Nos. 11774137, 11404147), the Major Program of the National Natural Science Foundation of China (Grant No. 51239005), the Natural Science Foundation of Jiangsu Province of China (Grant No. BK20140519), the Jiangsu Qing Lan Project, China, the Six Talent Peaks Project in Jiangsu Province, China (Grant No. GDZB-019), and the Practice Innovation Training Program for Industrial Center of Jiangsu University, China.

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Cited By

[1]	Zhao J J, Ye H P, Huang K, Chen Z N, Li B W, Qiu C W 2014 Sci. Rep. 4 6257
[2]	Gu Y, Cheng Y, Liu X J 2015 Appl. Phys. Lett. 107 133503
[3]	Zheng L, Guo J Z 2016 Acta Phys. Sin. 65 044305 (in Chinese) [郑莉, 郭建中 2016 物理学报 65 044305]
[4]	Tang K, Qiu C Y, Lu J Y, Ke M Z, Liu Z Y 2015 J. Appl. Phys. 117 024503
[5]	Deng K, Ding Y Q, He Z J, Zhao H P, Shi J, Liu Z Y 2009 J. Phys. D: Appl. Phys. 42 185505
[6]	Lin S C S, Huang T J, Sun J H, Wu T T 2009 Phys. Rev. B 79 094302
[7]	Torrent D, Sánchez-Dehesa J 2007 New J. Phys. 9 323
[8]	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
[9]	Zhang S, Yin L L, Fang N 2009 Phys. Rev. Lett. 102 194301
[10]	Zigoneanu L, Popa B I, Cummer S A 2011 Phys. Rev. B 84 024305
[11]	Li Y, Liang B, Tao X, Zhu X F, Zou X Y, Cheng J C 2012 Appl. Phys. Lett. 101 233508
[12]	Wang W Q, Xie Y B, Konneker A, Popa B I, Cummer S A 2014 Appl. Phys. Lett. 105 101904
[13]	Dehesa J S, Angelov M I, Cervera F, Cai L W 2009 Appl. Phys. Lett. 95 204102
[14]	Qian F, Zhao P, Quan L Liu X Z, Gong X F 2014 Europhys. Lett. 107 34009
[15]	Ge Y, Sun H X, Liu C, Qian J, Yuan S Q, Xia J P, Guan Y J, Zhang S Y 2016 Appl. Phys. Express 9 066701
[16]	Liu C, Sun H X, Yuan S Q, Xia J P 2016 Acta Phys. Sin. 65 044303 (in Chinese) [刘宸, 孙宏祥, 袁寿其, 夏建平 2016 物理学报 65 044303]
[17]	Xia J P, Sun H X 2015 Appl. Phys. Lett. 106 063505
[18]	Xia J P, Sun H X, Cheng Q, Xu Z, Chen H, Yuan S Q, Zhang S Y, Ge Y, Guan Y J 2016 Appl. Phys. Express 9 057301
[19]	Guan Y J, Sun H X, Liu S S, Yuan S Q, Xia J P, Ge Y 2016 Chin. Phys. B 25 104302
[20]	Yu N, Genevet P, Kats M A, Aieta F, Tetienne J P, Capasso F, Gaburro Z 2011 Science 334 333
[21]	Li Y, Liang B, Gu Z M, Zou X Y, Cheng J C 2013 Sci. Rep. 3 2546
[22]	Mei J, Wu Y 2014 New J. Phys. 16 123007
[23]	Tang K, Qiu C Y, Ke M Z, Lu J Y, Ye Y T, Liu Z Y 2014 Sci. Rep. 4 6517
[24]	Xie Y, Wang W, Chen H, Konneker A, Popa B I, Cummer S A 2014 Nat. Commun. 5 5553
[25]	Zhu Y F, Zou X Y, Li R Q, Jiang X, Tu J, Liang B, Cheng J C 2015 Sci. Rep. 5 10966
[26]	Yuan B G, Cheng Y, Liu X J 2015 Appl. Phys. Express 8 027301
[27]	Gao H, Gu Z M, Liang B, Zou X Y, Yang J, Yang J, Cheng J C 2016 Appl. Phys. Lett. 108 073501
[28]	Qian J, Liu B Y, Sun H X, Yuan S Q, Yu X Z 2017 Chin. Phys. B 26 114304
[29]	Liu C, Xia J P, Sun H X, Yuan S Q 2017 J. Phys. D: Appl. Phys. 50 505101
[30]	Tian Y, Wei Q, Cheng Y, Xu Z, Liu X J 2015 Appl. Phys. Lett. 107 221906
[31]	Fan X D, Zhu Y F, Liang B, Yang J, Cheng J C 2016 Appl. Phys. Lett. 109 243501
[32]	Liu C, Sun H X, Yuan S Q, Xia J P, Qian J 2017 Acta Phys. Sin. 66 154302 (in Chinese) [刘宸, 孙宏祥, 袁寿其, 夏建平, 钱姣 2017 物理学报 66 154302]
[33]	Jahdali R A, Wu Y 2016 Appl. Phys. Lett. 108 031902
[34]	Wang X P, Wan L L, Chen T N, Song A L, Wang F 2016 J. Appl. Phys. 120 014902
[35]	Xia J P, Sun H X, Yuan S Q 2017 Sci. Rep. 7 815
[36]	Liang Z X, Li J 2012 Phys. Rev. Lett. 108 114301
[37]	Xie Y B, Popa B I, Zigoneanu L, Cummer S A 2013 Phys. Rev. Lett. 110 175501
[38]	Li Y, Wu Y, Mei J 2014 Appl. Phys. Lett. 105 014107
[39]	Cheng Y, Zhou C, Yuan B G, Wu D J, Wei Q, Liu X J 2015 Nat. Mater. 14 1013
[40]	Lu G X, Ding E L, Wang Y Y, Ping X Y, Cui J, Liu X Z, Liu X J 2017 Appl. Phys. Lett. 110 123507
[41]	Wang Z Y, Wei W, Hu N, Min R, Pei L, Chen Y W, Liu F M, Liu Z Y 2014 J. Appl. Phys. 116 204501
[42]	Gu Y, Cheng Y, Wang J S, Liu X J 2015 J. Appl. Phys. 118 024505
[43]	Liu F M, Liu Z Y 2015 Phys. Rev. Lett. 115 175502
[44]	Wu S Q, Mei J 2016 AIP Adv. 6 015204
[45]	Li Y, Liang B, Gu Z M, Zou X Y, Cheng J C 2013 Appl. Phys. Lett. 103 053505
[46]	Shen C, Xie Y B, Li J F, Cummer S A, Jing Y 2016 Appl. Phys. Lett. 108 223502
[47]	Zheng L Y, Wu Y, Ni X, Chen Z G, Lu M H, Chen Y F 2014 Appl. Phys. Lett. 104 161904
[48]	Xie Y B, Konneker A, Popa B I, Cummer S A 2013 Appl. Phys. Lett. 103 201906
[49]	Sun H X, Zhang S Y, Yuan S Q 2016 Chin. Phys. B 25 124313
[50]	Jia D, Sun H X, Yuan S Q, Ge Y 2017 Chin. Phys. B 26 024302
[51]	Sun X D, Chen L, Jiang H B, Yang Z B, Chen J C, Zhang W Y 2016 IEEE T. Ind. Electron. 63 3479
[52]	Fokin V, Ambati M, Sun C, Zhang X 2007 Phys. Rev. B 76 144302

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Vol. 66, Issue 24 - 2017-12-20

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