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Research Papers

Design of Acoustic Metamaterial Devices Based on Inverse Method

[+] Author and Article Information
Ming Huang

e-mail: huangming@ynu.edu.cn

Jie Yang

Wireless Innovation Lab,
School of Information Science and Engineering,
Yunnan University,
Kunming 650091, China

Contributed by the Noise Control and Acoustics Division of ASME for publication in the JOURNAL OF VIBRATION AND ACOUSTICS. Manuscript received June 19, 2012; final manuscript received January 31, 2013; published online June 18, 2013. Assoc. Editor: Theodore Farabee.

J. Vib. Acoust 135(5), 051024 (Jun 18, 2013) (5 pages) Paper No: VIB-12-1183; doi: 10.1115/1.4024559 History: Received June 19, 2012; Revised January 31, 2013

The inverse method based on the numerical solution of Laplace's equation is introduced for the design of acoustic metamaterial devices. An arbitrary shaped acoustic concentrator and an external cloak are designed numerically and validated by full wave simulation. Besides, an acoustic reciprocal cloak and a field rotator are proposed. Compared with the analytical method, the inverse method is much more universal, and arbitrary shaped acoustic metamaterial devices can be flexibly designed without any knowledge of the transformation equations.

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Figures

Grahic Jump Location
Fig. 1

Schematic graph showing the coordinate transformation for the design of a circular cylindrical acoustic cloak

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Fig. 2

(a) Pressure field distribution in the vicinity of an acoustic cloak with submarine shape. (b) Bulk modulus (κ') distribution in the transformation region.

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Fig. 3

(a) Schematic diagram of an acoustic concentrator. (b) The acoustic pressure field distribution. (c) Acoustic intensity distribution.

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Fig. 4

(a) Schematic graph showing the coordinate transformation of an external cloak. (b) Pressure field distribution in the vicinity of a system composed of the core media layer, the complementary layer, and the environment media layer. (c) A scheme to cloak an object with parameters ρo-1 and κo by placing its “antiobject” with parameters ρ'-1ρo-1 and κ'κo in the complementary media layer. (d) An object of ρo-1=2 and κo=0 is hidden by the external cloak. (e) Scattering pattern of the object.

Grahic Jump Location
Fig. 5

(a) Schematic diagram for the coordinate transformation of a reciprocal acoustic cloak. (b) Pressure field distribution in the computational domain.

Grahic Jump Location
Fig. 6

(a) Schematic graph for the coordinate transformation of a field rotator. (b) Pressure field distribution of the field rotator. (c) Scattering pattern of a scatterer located horizontally inside of the rotator. (d) Scattering pattern of the scatterer laid vertically in the homogeneous environment media. (e) Scattering pattern of the scatterer laid horizontally.

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