Abstract
Metasurfaces are advantageous in wavefront manipulation owing to their compact and flat nature. Particularly, ultrathin and completely smooth metasurfaces with giant phase delay and perfect impedance match are critically required for practical applications. Here, we propose an ultrathin and holeless metasurface composed of simply a pair of membranes. This metasurface supports duo unity transmissions with completely conjugate phase shifts occurring at two extremely close frequencies. This allows the metasurface to present giant phase delay and endow with high refractive index (n = 18) when the wave penetrates through. Such a property is employed to control the wavefront of acoustic waves to realize planar lens focusing, negative refraction, negative reflection, and directional emission. The proposed design principle of acoustic metasurface provides promising avenues for acoustic wave manipulation and may enable extensive applications in beam steering, acoustic imaging, energy harvesting, and surface waves.
Issue Section:
Research Papers
Keywords:
acoustic metasurface,
phase conjugate,
wave manipulation,
materials in vibration and acoustics,
noise control,
smart materials and structures
Topics:
Acoustics,
Membranes,
Phase shift,
Waves,
Lenses (Optics),
Refraction,
Resonance,
Refractive index
References
1.
Yang
, S.
, Page
, J. H.
, Liu
, Z.
, Cowan
, M. L.
, Chan
, C. T.
, and Sheng
, P.
, 2004
, “Focusing of Sound in a 3D Phononic Crystal
,” Phys. Rev. Lett.
, 93
(2
), p. 024301
. 2.
Zhu
, R.
, Liu
, X. N.
, Hu
, G. K.
, Sun
, C. T.
, and Huang
, G. L.
, 2014
, “Negative Refraction of Elastic Waves at the Deep-Subwavelength Scale in a Single-Phase Metamaterial
,” Nat. Commun.
, 5
(1
), pp. 1
–8
.3.
Kaina
, N.
, Lemoult
, F.
, Fink
, M.
, and Lerosey
, G.
, 2015
, “Negative Refractive Index and Acoustic Superlens From Multiple Scattering in Single Negative Metamaterials
,” Nature
, 525
(7567
), pp. 77
–81
. 4.
Zhang
, X.
, and Liu
, Z.
, 2004
, “Negative Refraction of Acoustic Waves in Two-Dimensional Phononic Crystals
,” Appl. Phys. Lett.
, 85
(2
), pp. 341
–343
. 5.
Craster
, R. V.
, and Guenneau
, S.
, 2013
, Acoustic Metamaterials: Negative Refraction, Imaging, Lensing and Cloaking
, Springer
, New York London
.6.
Zhu
, J.
, Christensen
, J.
, Jung
, J.
, Martin-Moreno
, L.
, Yin
, X.
, Fok
, L.
, Zhang
, X.
, and Garcia-Vidal
, F. J.
, 2011
, “A Holey-Structured Metamaterial for Acoustic Deep-Subwavelength Imaging
,” Nat. Phys.
, 7
(1
), pp. 52
–55
. 7.
Zhang
, S.
, Yin
, L.
, and Fang
, N.
, 2009
, “Focusing Ultrasound With an Acoustic Metamaterial Network
,” Phys. Rev. Lett.
, 102
(19
), p. 194301
. 8.
Zigoneanu
, L.
, Popa
, B. I.
, and Cummer
, S. A.
, 2011
, “Design and Measurements of a Broadband Two-Dimensional Acoustic Lens
,” Phys. Rev. B
, 84
(2
), p. 024305
. 9.
Wang
, W.
, Xie
, Y.
, Konneker
, A.
, Popa
, B. I.
, and Cummer
, S. A.
, 2014
, “Design and Demonstration of Broadband Thin Planar Diffractive Acoustic Lenses
,” Appl. Phys. Lett.
, 105
(10
), p. 101904
. 10.
Zhao
, S. D.
, Chen
, A. L.
, Wang
, Y. S.
, and Zhang
, C.
, 2018
, “Continuously Tunable Acoustic Metasurface for Transmitted Wavefront Modulation
,” Phys. Rev. Appl.
, 10
(5
), p. 054066
. 11.
Zhang
, P.
, Li
, T.
, Zhu
, J.
, Zhu
, X.
, Yang
, S.
, Wang
, Y.
, Yin
, X.
, and Zhang
, X.
, 2014
, “Generation of Acoustic Self-Bending and Bottle Beams by Phase Engineering
,” Nat. Commun.
, 5
(1
), pp. 1
–9
.12.
Chen
, D. C.
, Zhu
, X. F.
, Wei
, Q.
, Wu
, D. J.
, and Liu
, X. J.
, 2018
, “Broadband Acoustic Focusing by Airy-Like Beams Based on Acoustic Metasurfaces
,” J. Appl. Phys.
, 123
(4
), p. 044503
. 13.
Zhang
, S.
, Xia
, C.
, and Fang
, N.
, 2011
, “Broadband Acoustic Cloak for Ultrasound Waves
,” Phys. Rev. Lett.
, 106
(2
), p. 024301
. 14.
Zigoneanu
, L.
, Popa
, B. I.
, and Cummer
, S. A.
, 2014
, “Three-Dimensional Broadband Omnidirectional Acoustic Ground Cloak
,” Nat. Mater.
, 13
(4
), pp. 352
–355
. 15.
Faure
, C.
, Richoux
, O.
, Félix
, S.
, and Pagneux
, V.
, 2016
, “Experiments on Metasurface Carpet Cloaking for Audible Acoustics
,” Appl. Phys. Lett.
, 108
(6
), p. 064103
. 16.
Farhat
, M.
, Guenneau
, S.
, and Enoch
, S.
, 2009
, “Ultrabroadband Elastic Cloaking in Thin Plates
,” Phys. Rev. Lett.
, 103
(2
), p. 024301
. 17.
Kildishev
, A. V.
, Boltasseva
, A.
, and Shalaev
, V. M.
, 2013
, “Planar Photonics With Metasurfaces
,” Science
, 339
(6125
), p. 1232009
. 18.
Ma
, G.
, Yang
, M.
, Xiao
, S.
, Yang
, Z.
, and Sheng
, P.
, 2014
, “Acoustic Metasurface With Hybrid Resonances
,” Nat. Mater.
, 13
(9
), pp. 873
–878
. 19.
Xie
, Y.
, Wang
, W.
, Chen
, H.
, Konneker
, A.
, Popa
, B. I.
, and Cummer
, S. A.
, 2014
, “Wavefront Modulation and Subwavelength Diffractive Acoustics With an Acoustic Metasurface
,” Nat. Commun.
, 5
(1
), p. 5553
. 20.
Fu
, Y.
, Shen
, C.
, Cao
, Y.
, Gao
, L.
, Chen
, H.
, Chan
, C. T.
, Cummer
, S. A.
, and Xu
, Y.
, 2019
, “Reversal of Transmission and Reflection Based on Acoustic Metagratings With Integer Parity Design
,” Nat. Commun.
, 10
(1
), p. 2326
. 21.
Zuo
, S.
, Cheng
, Y.
, and Liu
, X.
, 2019
, “Tunable Perfect Negative Reflection Based on an Acoustic Coding Metasurface
,” Appl. Phys. Lett.
, 114
(20
), p. 203505
. 22.
Fu
, Y.
, Cao
, Y.
, and Xu
, Y.
, 2019
, “Multifunctional Reflection in Acoustic Metagratings With Simplified Design
,” Appl. Phys. Lett.
, 114
(5
), p. 053502
. 23.
Memoli
, G.
, Caleap
, M.
, Asakawa
, M.
, Sahoo
, D. R.
, Drinkwater
, B. W.
, and Subramanian
, S.
, 2017
, “Metamaterial Bricks and Quantization of Meta-Surfaces
,” Nat. Commun.
, 8
(1
), p. 14608
. 24.
Chen
, D. C.
, Zhu
, X. F.
, Wu
, D. J.
, and Liu
, X. J.
, 2019
, “Broadband Airy-Like Beams by Coded Acoustic Metasurfaces
,” Appl. Phys. Lett.
, 114
(5
), p. 053504
. 25.
Pendry
, J. B.
, 2000
, “Negative Refraction Makes a Perfect Lens
,” Phys. Rev. Lett.
, 85
(18
), pp. 3966
–3969
. 26.
Yan
, M.
, Lu
, J.
, Li
, F.
, Deng
, W.
, Huang
, X.
, Ma
, J.
, and Liu
, Z.
, 2018
, “On-Chip Valley Topological Materials for Elastic Wave Manipulation
,” Nat. Mater.
, 17
(11
), pp. 993
–998
. 27.
Zhang
, Z.
, Tian
, Y.
, Wang
, Y.
, Gao
, S.
, Cheng
, Y.
, Liu
, X.
, and Christensen
, J.
, 2018
, “Directional Acoustic Antennas Based on Valley-Hall Topological Insulators
,” Adv. Mater.
, 30
(36
), p. 1803229
. 28.
Lu
, J.
, Qiu
, C.
, Ye
, L.
, Fan
, X.
, Ke
, M.
, Zhang
, F.
, and Liu
, Z.
, 2017
, “Observation of Topological Valley Transport of Sound in Sonic Crystals
,” Nat. Phys.
, 13
(4
), pp. 369
–374
. 29.
Gao
, F.
, Xue
, H.
, Yang
, Z.
, Lai
, K.
, Yu
, Y.
, Lin
, X.
, Chong
, Y.
, Shvets
, G.
, and Zhang
, B.
, 2018
, “Topologically Protected Refraction of Robust Kink States in Valley Photonic Crystals
,” Nat. Phys.
, 14
(2
), pp. 140
–144
. 30.
Liang
, Z.
, and Li
, J.
, 2012
, “Extreme Acoustic Metamaterial by Coiling up Space
,” Phys. Rev. Lett.
, 108
(11
), p. 114301
. 31.
Lu
, M. H.
, Liu
, X. K.
, Feng
, L.
, Li
, J.
, Huang
, C. P.
, Chen
, Y. F.
, Zhu
, Y. Y.
, Zhu
, S. N.
, and Ming
, N. B.
, 2007
, “Extraordinary Acoustic Transmission Through a 1D Grating With Very Narrow Apertures
,” Phys. Rev. Lett.
, 99
(17
), p. 174301
. 32.
Cai
, X.
, Huang
, Z.
, and Yang
, J.
, 2020
, “Traveling Sound Wave With Transverse Particle Velocity in a Metawaveguide by Using a Phase-Reversible Metasurface
,” Phys. Rev. Appl.
, 14
(5
), p. 054025
. Copyright © 2022 by ASME
You do not currently have access to this content.
