Abstract
We firstly present a kind of acoustic metamaterial (AM) with resonant microstructure of double split hollow sphere (DSHS). Simulation and experimental results show that the DSHS AM has a transmission dip and accompanied phase advance near the resonant frequency. Effective properties extracted by homogenized-media theory show that the negative modulus of the DSHS AM occurs near the dip frequency. With the increase of the diameter of the double holes in the DSHS, the resonant intensity will be stronger which leads to a greater negative modulus. By adjusting the double holes of DSHS structure with different diameter or angle, the negative-modulus band of the AMs with the modified unit cells will become tunable. Furthermore, we extend the DSHS AMs to the AMs with multi-split hollow sphere (MSHS), which still possess the property of negative modulus. This concept may pave a theoretical way to study the micro-sized and nano-sized MSHS AMs fabricated by chemical manufacturing techniques, which have potential application in the future.
Similar content being viewed by others
References
G. Veselago, Sov. Phys. Usp. 10, 509 (1968)
D.R. Smith, J.B. Pendry, M.C.K. Wiltshire, Science 305, 788 (2004)
X. Zhou, X.P. Zhao, Y. Liu, Opt. Express 16, 7674 (2008)
H. Liu, X.P. Zhao, Y. Yang, Q.W. Li, J. Lv, Adv. Mater. 20, 2050 (2008)
W.R. Zhu, X.P. Zhao, J.Q. Guo, Appl. Phys. Lett. 92, 241116 (2008)
J.B. Pendry, Phys. Rev. Lett. 85, 3966 (2000)
X. Zhang, Z.W. Liu, Nat. Mater. 7, 435 (2008)
J.B. Chen, Y. Wang, B.H. Jia, T. Geng, X.P. Li, L. Feng, W. Qian, B.M. Liang, X.X. Zhang, M. Gu, S.L. Zhuang, Nat. Photonics 5, 239 (2011)
J.B. Pendry, D. Schurig, D.R. Smith, Science 312, 1780 (2006)
R. Liu, C. Ji, J.J. Mock, J.Y. Chin, T.J. Cui, D.R. Smith, Science 323, 366 (2009)
N. Fang, D.J. Xi, J.Y. Xu, M. Ambati, W. Srituravanich, C. Sun, X. Zhang, Nat. Mater. 5, 452 (2006)
Y. Lai, Y. Wu, P. Sheng, Z.Q. Zhang, Nat. Mater. 10, 620 (2011)
Z.Y. Liu, X.X. Zhang, Y.W. Mao, Y.Y. Zhu, Z.Y. Yang, C.T. Chan, P. Sheng, Science 289, 1734 (2000)
S. Zhang, L.L. Yin, N. Fang, Phys. Rev. Lett. 102, 194301 (2009)
J.S. Li, L. Fok, X.B. Yin, G. Bartal, X. Zhang, Nat. Mater. 8, 931 (2009)
J. Zhu, J. Christensen, J. Jung, L. Martin-Moreno, X. Yin, L. Fok, X. Zhang, F.J. Garcia-Vidal, Nat. Phys. 7, 52 (2011)
S.H. Lee, C.M. Park, Y.M. Seo, C.K. Kim, Phys. Rev. B 81, 241102 (2010)
D. Torrent, J. Sanchez-Dehesa, New J. Phys. 10, 063015 (2008)
W.R. Zhu, C.L. Ding, X.P. Zhao, Appl. Phys. Lett. 97, 131902 (2010)
B.I. Popa, L. Zigoneanu, S.A. Cummer, Phys. Rev. Lett. 106, 253901 (2011)
J. Li, C.T. Chan, Phys. Rev. E 70, 055602 (2004)
Y.Q. Ding, Z.Y. Liu, C.Y. Qiu, J. Shi, Phys. Rev. Lett. 99, 093904 (2007)
R. Graciá-Salgado, D. Torrent, J. Sánchez-Dehesa, New J. Phys. 14, 103052 (2012)
L. Fok, X. Zhang, Phys. Rev. B 83, 214304 (2011)
S.H. Lee, C.M. Park, Y.M. Seo, Z.G. Wang, C.K. Kim, Phys. Rev. Lett. 104, 054301 (2010)
Z. Yang, J. Mei, M. Yang, N.H. Chan, P. Sheng, Phys. Rev. Lett. 101, 204301 (2008)
H.J. Chen, H.C. Zeng, C.L. Ding, C.R. Luo, X.P. Zhao, J. Appl. Phys. 113, 104902 (2013)
Y. Cheng, J.Y. Xu, X.J. Liu, Appl. Phys. Lett. 92, 051913 (2008)
G.L. Huang, C.T. Sun, J. Vib. Acoust. 132, 031003 (2010)
Y. Xiao, J. Wen, X. Wen, J. Sound Vib. 331, 5408 (2012)
Y. Xiao, J. Wen, X. Wen, New J. Phys. 14, 033042 (2012)
S.A. Pope, S. Daley, Phys. Lett. A 374, 4250 (2010)
S.A. Pope, H. Laalej, S. Daley, Smart Mater. Struct. 21, 125021 (2012)
C.L. Ding, L.M. Hao, X.P. Zhao, J. Appl. Phys. 108, 074911 (2010)
C.L. Ding, X.P. Zhao, J. Phys. D, Appl. Phys. 44, 215402 (2011)
V. Fokin, M. Ambati, C. Sun, X. Zhang, Phys. Rev. B 76, 144302 (2007)
G. Dolling, C. Enkrich, M. Wegener, C.M. Soukoulis, S. Linden, Science 312, 892 (2006)
X. Lai, J. Li, B.A. Korgel, Z. Dong, Z. Li, F. Su, J. Du, D. Wang, Angew. Chem. Int. Ed. 50, 2738 (2011)
Y. Zhao, L. Jiang, Adv. Mater. 21, 3621 (2009)
Acknowledgements
This work was supported by the National Natural Science Foundation of China under Grant Nos. 11174234, 50936002, and 51272215. We also acknowledge the support from the Northwestern Polytechnical University Foundation for Basic Research (No. JC20120244) and Northwestern Polytechnical University scientific research allowance (No. 12GH0008).
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Ding, C., Chen, H., Zhai, S. et al. Acoustic metamaterial based on multi-split hollow spheres. Appl. Phys. A 112, 533–541 (2013). https://doi.org/10.1007/s00339-013-7785-1
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00339-013-7785-1