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Open AccessJournal ArticleDOI

One path to acoustic cloaking

Steven A. Cummer, +1 more
- 01 Mar 2007 - 
- Vol. 9, Iss: 3, pp 45-45
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TLDR
In this paper, it was shown that 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, and the existence of transformation-type solutions for the 2D acoustic equations with anisotropic mass via time harmonic simulations of acoustic cloaking.
Abstract
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.

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Citations
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Proceedings ArticleDOI

A New Model for the Two-Dimensional Acoustic Cloak

TL;DR: In this article, a new formula is proposed for a two-dimensional anisotropic acoustic cloak based on the sound speed matching and sound boundary impendence matching, where a crucial parameter is involved in the expression for the acoustic cloak material.
Proceedings ArticleDOI

Optimization Method in 2D DC Cloaking Problems

TL;DR: In this paper, a numerical algorithm based on particle swarm optimization is proposed and the results of numerical experiments are discussed, which shows that high cloaking efficiency of the shell can be achieved either using a highly anisotropic single-layer shell or using a multilayer shell with isotropic layers.
DissertationDOI

High frequency homogenisation for structured interfaces

Lina Joseph
TL;DR: In this paper, high frequency homogenization is applied to develop asymptotics for waves propagating along interfaces or structured surfaces, which are valid even at high frequencies. But they are not applicable to the case of Rayleigh-bloch waves.
Journal ArticleDOI

Engineered diffraction gratings for acoustic cloaking.

TL;DR: In this paper, the authors show that engineered diffraction gratings can considerably simplify the design and performance of acoustic devices, and they use them to cloak an object placed over a rigid surface.
References
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Journal ArticleDOI

Magnetism from conductors and enhanced nonlinear phenomena

TL;DR: In this paper, it was shown that microstructures built from nonmagnetic conducting sheets exhibit an effective magnetic permeability /spl mu/sub eff/, which can be tuned to values not accessible in naturally occurring materials.
Journal ArticleDOI

Controlling Electromagnetic Fields

TL;DR: This work shows how electromagnetic fields can be redirected at will and proposes a design strategy that has relevance to exotic lens design and to the cloaking of objects from electromagnetic fields.
Journal ArticleDOI

Metamaterial Electromagnetic Cloak at Microwave Frequencies

TL;DR: This work describes here the first practical realization of a cloak of invisibility, constructed with the use of artificially structured metamaterials, designed for operation over a band of microwave frequencies.
Journal ArticleDOI

Optical Conformal Mapping

TL;DR: A general recipe for the design of media that create perfect invisibility within the accuracy of geometrical optics is developed, which can be applied to escape detection by other electromagnetic waves or sound.
Journal ArticleDOI

Ultrasonic metamaterials with negative modulus

TL;DR: A new class of ultrasonic metamaterials consisting of an array of subwavelength Helmholtz resonators with designed acoustic inductance and capacitance with an effective dynamic modulus with negative values near the resonance frequency is reported.
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