Directional acoustic cloaks that conceal an aluminum cylinder for airborne sound waves are presented in this paper. Subwavelength cylindrical aluminum inclusions in air constitute the cloak design to aid practical realizations. The positions and radii of the subwavelength cylinders are determined by minimizing scattering from the cloak-structure and cylinder using the gradient-based topology optimization method. In the final optimization step, the radii of the subwavelength cylinders are constrained to three discrete values. A near-perfect narrow-banded and angular cloaking effect is obtained by optimizing for one target frequency. To get a larger bandwidth, the acoustic cloak is optimized for three frequencies at the cost of reduced peak cloaking performance at the center frequency.
Issue Section:
Research Papers
References
1.
Pendry
, J. B.
, Schurig
, D.
, and Smith
, D. R.
, 2006
, “Controlling Electromagnetic Fields
,” Science
, 312
(5781
), pp. 1780
–1782
.10.1126/science.11259072.
Schurig
, D.
, Mock
, J. J.
, Justice
, B. J.
, Cummer
, S. A.
, Pendry
, J. B.
, Starr
, A. F.
, and Smith
, D. R.
, 2006
, “Metamaterial Electromagnetic Cloak at Microwave Frequencies
,” Science
, 314
(5801
), pp. 977
–980
.10.1126/science.11336283.
Farhat
, M.
, Guenneau
, S.
, and Enoch
, S.
, 2009
, “Ultrabroadband Elastic Cloaking in Thin Plates
,” Phys. Rev. Lett.
, 103
, p. 024301
.10.1103/PhysRevLett.103.0243014.
Stenger
, N.
, Wilhelm
, M.
, and Wegener
, M.
, 2012
, “Experiments on Elastic Cloaking in Thin Plates
,” Phys. Rev. Lett.
, 108
, p. 014301
.10.1103/PhysRevLett.108.0143015.
Renger
, J.
, Kadic
, M.
, Dupont
, G.
, Aćimović
, S. S.
, Guenneau
, S.
, Quidant
, R.
, and Enoch
, S.
, 2010
, “Hidden Progress: Broadband Plasmonic Invisibility
,” Opt. Express
, 18
(15
), pp. 15757
–15768
.10.1364/OE.18.0157576.
Zhang
, S.
, Genov
, D. A.
, Sun
, C.
, and Zhang
, X.
, 2008
, “Cloaking of Matter Waves
,” Phys. Rev. Lett.
, 100
, p. 123002
.10.1103/PhysRevLett.100.1230027.
Farhat
, M.
, Enoch
, S.
, Guenneau
, S.
, and Movchan
, A. B.
, 2008
, “Broadband Cylindrical Acoustic Cloak for Linear Surface Waves in a Fluid
,” Phys. Rev. Lett.
, 101
, p. 134501
.10.1103/PhysRevLett.101.1345018.
Cummer
, S. A.
, and Schurig
, D.
, 2007
, “One Path to Acoustic Cloaking
,” New J. Phys.
, 9
(3
), p. 45
.10.1088/1367-2630/9/3/0459.
Chen
, H.
, and Chan
, C. T.
, 2007
, “Acoustic Cloaking in Three Dimensions Using Acoustic Metamaterials
,” Appl. Phys. Lett.
, 91
(18
), p. 183518
.10.1063/1.280331510.
Zhang
, S.
, Xia
, C.
, and Fang
, N.
, 2011
, “Broadband Acoustic Cloak for Ultrasound Waves
,” Phys. Rev. Lett.
, 106
, p. 024301
.10.1103/PhysRevLett.106.02430111.
Popa
, B.-I.
, and Cummer
, S. A.
, 2011
, “Homogeneous and Compact Acoustic Ground Cloaks
,” Phys. Rev. B
, 83
, p. 224304
.10.1103/PhysRevB.83.22430412.
Popa
, B.-I.
, Zigoneanu
, L.
, and Cummer
, S. A.
, 2011
, “Experimental Acoustic Ground Cloak in Air
,” Phys. Rev. Lett.
, 106
, p. 253901
.10.1103/PhysRevLett.106.25390113.
Li
, J.
, and Pendry
, J. B.
, 2008
, “Hiding Under the Carpet: A New Strategy for Cloaking
,” Phys. Rev. Lett.
, 101
, p. 203901
.10.1103/PhysRevLett.101.20390114.
Torrent
, D.
, and Sánchez-Dehesa
, J.
, 2008
, “Acoustic Cloaking in Two Dimensions: A Feasible Approach
,” New J. Phys.
, 10
(6
), p. 063015
.10.1088/1367-2630/10/6/06301515.
Pendry
, J. B.
, and Li
, J.
, 2008
, “An Acoustic Metafluid: Realizing a Broadband Acoustic Cloak
,” New J. Phys.
, 10
(11
), p. 115032
.10.1088/1367-2630/10/11/11503216.
Popa
, B.-I.
, and Cummer
, S. A.
, 2009
, “Design and Characterization of Broadband Acoustic Composite Metamaterials
,” Phys. Rev. B
, 80
, p. 174303
.10.1103/PhysRevB.80.17430317.
Baz
, A. M.
, 2010
, “An Active Acoustic Metamaterial With Tunable Effective Density
,” ASME J. Vib. Acoust.
, 132
(4
), p. 041011
.10.1115/1.400098318.
Torrent
, D.
, and Sánchez-Dehesa
, J.
, 2010
, “Anisotropic Mass Density by Radially Periodic Fluid Structures
,” Phys. Rev. Lett.
, 105
, p. 174301
.10.1103/PhysRevLett.105.17430119.
Andkjær
, J.
, and Sigmund
, O.
, 2011
, “Topology Optimized Low-Contrast All-Dielectric Optical Cloak
,” Appl. Phys. Lett.
, 98
(2
), p. 021112
.10.1063/1.354068720.
Bendsøe
, M. P.
, and Sigmund
, O.
, 2003
, Topology Optimization, Theory, Methods and Applications
, Springer
, Berlin
.21.
Andkjær
, J.
, and Sigmund
, O.
, 2011
, “Topology Optimized Acoustic and All-Dielectric Optical Cloaks
,” Metamaterials '2011: The Fifth International Congress on Advanced Electromagnetic Materials in Microwave and Optics
, Barcelona, Spain
, October 10–13.22.
García-Chocano
, V. M.
, Sanchis
, L.
, Díaz-Rubio
, A.
, Martínez-Pastor
, J.
, Cervera
, F.
, Llopis-Pontiveros
, R.
, and Sánchez-Dehesa
, J.
, 2011
, “Acoustic Cloak for Airborne Sound by Inverse Design
,” Appl. Phys. Lett.
, 99
(7
), p. 074102
.10.1063/1.362376123.
Sigmund
, O.
, 2011
, “On the Usefulness of Non-Gradient Approaches in Topology Optimization
,” Struct. Multidiscip. Optim.
, 43
, pp. 589
–596
.10.1007/s00158-011-0638-724.
Dühring
, M.
, Jensen
, J.
, and Sigmund
, O.
, 2008
, “Acoustic Design by Topology Optimization
,” J. Sound Vib.
, 317
, pp. 557
–575
.10.1016/j.jsv.2008.03.04225.
Yoon
, G. H.
, Jensen
, J. S.
, and Sigmund
, O.
, 2007
, “Topology Optimization for Acoustic Structure Interaction Problems
,” Int. J. Numer. Methods Eng.
, 70
(9
), pp. 1049
–1075
.10.1002/nme.190026.
Saxena
, A.
, 2011
, “Topology Design With Negative Masks Using Gradient Search
,” Struct. Multidiscip. Optim.
, 44
, pp. 629
–649
.10.1007/s00158-011-0649-427.
Guest
, J. K.
, 2011
, “A Projection-Based Topology Optimization Approach to Distributing Discrete Features in Structures and Materials
,” 9th World Congress on Structural and Multidisciplinary Optimization
, Shizuoka, Japan
, June 13–17.28.
Svanberg
, K.
, 1987
, “The Method of Moving Asymptotes—A New Method for Structural Optimization
,” Int. J. Numer. Methods Eng.
, 24
(2
), pp. 359
–373
.10.1002/nme.162024020729.
Jensen
, J. S.
, and Sigmund
, O.
, 2005
, “Topology Optimization of Photonic Crystal Structures: A High-Bandwidth Low-Loss T-Junction Waveguide
,” J. Opt. Soc. Am. B
, 22
(6
), pp. 1191
–1198
.10.1364/JOSAB.22.001191Copyright © 2013 by ASME
You do not currently have access to this content.
