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Sound Attenuation by a Two-Dimensional Array of Rigid Cylinders

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TLDR
In this article, the authors present an experimental analysis of the acoustic transmission of a two-dimensional periodic array of rigid cylinders in air with two different geometrical configurations: square and triangular.
Abstract
In this Letter we present an experimental analysis of the acoustic transmission of a two-dimensional periodic array of rigid cylinders in air with two different geometrical configurations: square and triangular. In both configurations, and above a certain filling fraction, we observe an overlap, in the range of the audible frequencies, between the attenuation peaks measured along the two high-symmetry directions of the Brillouin zone. This effect is considered as the fingerprint of the existence of a full acoustic gap. Nevertheless, the comparison with our calculation of band structures shows that the triangular lattice has band states in that frequency range. We call them deaf bands. This contradictory result is explained by looking at the symmetry of the deaf bands; they cannot be excited by experiments of sound transmission. [S0031-9007(98)06295-4]

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Journal ArticleDOI

Sound and heat revolutions in phononics

TL;DR: Advances in sonic and thermal diodes, optomechanical crystals, acoustic and thermal cloaking, hypersonic phononic crystals, thermoelectrics, and thermocrystals herald the next technological revolution in phononics.
Journal ArticleDOI

Optomechanical Crystals

TL;DR: In this paper, the authors presented the design and experimental realization of strongly coupled optical and mechanical modes in a planar, periodic nanostructure on a silicon chip, where 200-Terahertz photons are co-localized with mechanical modes of Gigahertz frequency and 100-femtogram mass.
Journal ArticleDOI

Locally resonant sonic materials

TL;DR: Sonic crystals are fabricated, based on the idea of localized resonant structures, that exhibit spectral gaps with a lattice constant two orders of magnitude smaller than the relevant wavelength that are shown to break the conventional mass-density law of sound transmission.
Journal ArticleDOI

Topologically protected elastic waves in phononic metamaterials

TL;DR: Numerically a phononic topological metamaterial is demonstrated in an elastic-wave analogue of the quantum spin Hall effect, demonstrating topological protection for phonons in both static and time-dependent regimes.
References
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Book

A practical guide to splines

Carl de Boor
TL;DR: This book presents those parts of the theory which are especially useful in calculations and stresses the representation of splines as linear combinations of B-splines as well as specific approximation methods, interpolation, smoothing and least-squares approximation, the solution of an ordinary differential equation by collocation, curve fitting, and surface fitting.
BookDOI

Photonic band gaps and localization

TL;DR: In this article, the authors present an accurate measurement of backscattered light from Random Media and calculate the plane-wave distance between two angles of incidence (AoI) in two dimensions.
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