One path to acoustic cloaking

By S. Cummer, D. Schurig. 2007

1,036 citations recorded by the source corpus.

A complete analysis of coordinate transformations in elastic media by Milton et al has shown that, in general, the equations of motion are not form invariant and thus do not admit transformation-type solutions of the type discovered by Pendry et al for electromagnetics. However, in a two-dimensional (2D) geometry, the acoustic equations in a fluid are identical in form to the single polarization Maxwell equations via a variable exchange that also preserves boundary conditions. We confirm the existence of transformation-type solutions for the 2D acoustic equations with anisotropic mass via time harmonic simulations of acoustic cloaking. We discuss the possibilities of experimentally demonstrating acoustic cloaking and analyse why this special equivalence of acoustics and electromagnetics occurs only in 2D.

Subfields: Biomedical Engineering, Electronic, Optical and Magnetic Materials, Oceanography

View Paper: https://www.semanticscholar.org/paper/0f57271b66e2c3e5cd817476b3b0caa77f8e6099

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Biomedical Engineering

In Electronic, Optical and Magnetic Materials

In Oceanography

Citations in the corpus

Wave attenuation mechanism in an acoustic metamaterial with negative effective mass density (2009, background): “Attention has mainly focused on metamaterials with double negativity [5], and acoustic cloaking metamaterials [6, 7].”
Cloaking via change of variables in electric impedance tomography (2008, background): “experimental [39] implementations of change-of-variable-based cloaking; adaptations of the change-of-variable-based scheme to acoustic or elastic sensing [13, 31]; and the introduction of related schemes for cloaking active objects such as light sources [17].”
Transformation Electromagnetics: An Overview of the Theory and Applications (2010, methodology): “The coordi nate-transformation approach was extended to the cloaking of acoustic waves [ 50-52 ], and also recently to matter waves [53], as well.”
Acoustic metamaterials for new two-dimensional sonic devices (2007, background): “This work represents a first attempt to get acoustic metamaterials needed to achieve cloaking for acoustic waves [13] as has been previously proposed for electromagnetic waves [14, 15].”