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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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Elastodynamic cloaking and field enhancement for soft spheres

TL;DR: In this paper, the authors proposed a spherical cloak described by a non-singular asymmetric elasticity tensor depending upon a small parameter that defines the softness of a region one would like to conceal from elastodynamic waves.
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Theoretical and Numerical Modeling of Acoustic Metamaterials for Aeroacoustic Applications

Umberto Iemma
TL;DR: In this paper, an aerodynamically-impermeable metamaterial capable of reproducing the surface impedance profile required to achieve the desired scattering abatement is proposed.
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A Volumetric Approach to Wake Reduction: Design, Optimization, and Experimental Verification

TL;DR: In this article, a volumetric approach is proposed to control the wake in a stationary flow past cylindrical and spherical objects, coupled with rigid, fluid-permeable structures prescribed by a macroscopic design approach.
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An experimental investigation into active structural acoustic cloaking of a flexible cylinder

TL;DR: It is shown that the practical causality constraint limits the performance of the active cloak at lower frequencies, but the causally constrained controller is able to achieve approximately 10 dB of attenuation in the far-field scattered acoustic power, using an array of 9 control actuators.
Journal ArticleDOI

A Unified Approach to Nonlinear Transformation Materials.

TL;DR: In this paper, it has been shown that nonlinearity can be incorporated into transformation optics in a consistent way, and the authors use this to illustrate a number of novel effects, including cloaking an optical soliton and modeling nonlinear solutions to Einstein's field equations.
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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