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Research Papers

Homogeneous Material Constructed Acoustic Cloak Based on Coordinate Transformation

[+] Author and Article Information
Tinghua Li, Jingjing Yang, Yaozhong Lan, Jing Sun

School of Information Science and Engineering,  Yunnan University, Kunming 650091, People’s Republic of China

Ming Huang

School of Information Science and Engineering,  Yunnan University, Kunming 650091, People’s Republic of Chinahuangming@ynu.edu.cn

J. Vib. Acoust 134(5), 051016 (Sep 07, 2012) (5 pages) doi:10.1115/1.4006633 History: Received April 15, 2011; Revised March 19, 2012; Published September 07, 2012; Online September 07, 2012

The two-dimensional and three-dimensional acoustic cloaks composed of homogeneous and nonsingular materials are designed by choosing appropriate spatial transformation. The mass density tensor and bulk modulus of the acoustic cloaks with diamond shape are derived, and extended to an acoustic carpet cloak. Performance of the acoustic cloaks is confirmed by full-wave simulation. The work represents an important progress towards the practical realization of the metamaterial-assisted acoustic cloak and expands the application of the coordinate transformation method.

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Copyright © 2012 by American Society of Mechanical Engineers
Topics: Acoustics
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References

Figures

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Figure 1

Schematic diagram of coordinate transformation for the design of 2D acoustic cloak (a) → (b) stretching line segment 2a to 2b in the x direction; (b) → (c) expanding line segment 2b into a diamond shaped space

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Figure 2

Schematic diagram of coordinate transformation for the design of 3Dacoustic cloak (a) → (b) stretching line segmentOD to OD ′ in the x direction; (b) → (c) stretching line segmentOE to OE ′ in the y direction; (c) → (d) stretching point O to O ′ in the z direction

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Figure 3

Material parameter distributions for the 2D acoustic cloak

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Figure 4

The pressure field distribution in the vicinity of the diamond-shaped rigid scatterer with (a) and without (b) 2D acoustic cloak when the plane waves are incident in the horizontal direction from the left to the right. The comparison of scattered pressure field for the diamond-shaped rigid scatterer with and without the acoustic cloak at the observation line x = 0.3 m (c) and x = −3 m (d).

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Figure 5

The pressure field distribution in the vicinity of 2D acoustic cloak under plane wave and cylindrical wave irradiation. (a) The plane wave is irradiated from left to right; (b) the plane wave is incident from top to bottom; (c) the cylindrical-wave source is located at (−9.5 m, −7.5 m); (d) the cylindrical-wave source is located at (10 m, 7 m).

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Figure 6

The pressure field distribution in the vicinity of the 3D acoustic cloak when the plane wave propagates from the −x direction to the +x direction, (a) 3D profile, (b) xoy plane. The power flow distributions in the vicinity of the 3D acoustic cloak, (c) 3D power flow in the xoy plane, (d) power flow in the xoy plane.

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Figure 7

The pressure field distribution in the vicinity of the triangular rigid scatterer with (a), (b) and without (c), (d) the carpet cloak when the plane wave propagates from the −x direction to the +x direction. (a) and (c) are 3D plots, (b) and (d) are 2D plots in the xoy plane.

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