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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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Journal ArticleDOI

Homogeneous material based acoustic concentrators and rotators with linear coordinate transformation.

TL;DR: In this paper, the authors report the design of acoustic concentrator and rotator facilitated by linear coordinate transformation, which can focus and rotate the acoustic field in a given region while keeping the outside region unchanged.

Transformational acoustics applied to scattering from a thin elastic shell

Ana M Vieira
TL;DR: In this article, the authors investigated the behavior of acoustic cloaks and designed an acoustic cloak applied to a thin spherical shell, and analyzed the performance of the acoustic cloak when it is applied to scattering from a spherical shell.

Tailoring Acoustic Metamaterials to Aeroacoustic Applications

TL;DR: In this paper, the authors investigate the applicability of metamaterials in the aero-acoustic domain and present an original approach to extend the existing theory to the analysis of moving media and obstacles.
Proceedings ArticleDOI

Optimized cloaking design in moving fluid based on the scattering analysis method

TL;DR: In this paper, a theoretical framework was developed to analyze acoustic cloak's scattering in a moving environment and the equivalent sound source induced by the moving environment local to the cloak was constructed and estimated using Born approximation.
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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