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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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Experimental study on negative effective mass in a 1D mass–spring system

TL;DR: In this paper, a mass-spring system with negative effective mass is experimentally realized, and its transmission property is examined in the low-frequency range, where the local resonance of the basic unit is observed and explained by Newton's theory.
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Broadband cylindrical acoustic cloak for linear surface waves in a fluid.

TL;DR: This work describes the first practical realization of a cylindrical cloak for linear surface liquid waves and demonstrates theoretically its unique mechanism using homogenization theory: the cloak behaves as an effective anisotropic fluid characterized by a diagonal stress tensor in acylindrical basis.
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Achieving control of in-plane elastic waves

TL;DR: In this article, the authors derived the elastic properties of a cylindrical cloak for in-plane coupled shear and pressure waves, which is characterized by a rank 4 tensor with spatially varying entries, which are deduced from a geometric transform.
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Wave attenuation mechanism in an acoustic metamaterial with negative effective mass density

TL;DR: In this article, the wave attenuation and energy transfer mechanisms of a metamaterial having a negative effective mass density were studied from an energy transfer point of view, and it was found that most of the work done by the external force on the lattice system is stored by the internal mass if the forcing frequency is close to the local resonance frequency.
Journal ArticleDOI

Acoustic metamaterial with negative density

TL;DR: In this paper, a one-dimensional acoustic metamaterial with negative effective density using an array of very thin elastic membranes was fabricated, and the authors reported direct observation of negative acceleration in this acoustic medium below 735 Hz.
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.
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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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