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research-article

Two-dimensional arbitrarily shaped acoustic cloaks with triangular patterns of homogeneous properties

[+] Author and Article Information
Qi Li

Department of Mechanical Engineering & Materials Science, University of Pittsburgh, Pittsburgh, PA 15261, USA
qil36@pitt.edu

Jeffrey Vipperman

Department of Mechanical Engineering & Materials Science, University of Pittsburgh, Pittsburgh, PA 15261, USA
jsv@pitt.edu

1Corresponding author.

ASME doi:10.1115/1.4041897 History: Received June 04, 2018; Revised October 24, 2018

Abstract

Acoustic cloaking is an intriguing phenomenon that has attracted lots of attention. The required inhomogeneous and anisotropic properties of acoustic cloaks derived with transformation acoustics make them difficult to realize. In this paper, a new mapping relation is presented. An acoustic cloak can be divided into any number of arbitrary triangular patterns, which are mapped from similar patterns in virtual space. Transformation from one triangular domain to another leads to homogeneous properties using transformation acoustics. The resulting cloak is composed of homogeneous triangular parts, each having just two alternating layers of material. The manner of division of the cloak affects the properties of each triangular part dramatically, which can be leveraged to vary the properties of each triangular part for more realistic material properties. Simulations of models based on this method show good cloaking performance at reducing the reflected and scattered waves due to the cloaked obstacle.

Copyright (c) 2018 by ASME
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