By Richard V. Craster, Sébastien Guenneau
About the ebook: This booklet is the 1st finished evaluate on acoustic metamaterials; novel fabrics that could manage sound waves in striking methods, which come with collimation, focusing, cloaking, sonic screening and amazing transmission. It covers either experimental and theoretical points of acoustic and elastic waves propagating in established composites, with a spotlight on potent houses linked to adverse refraction, lensing and cloaking. so much comparable books within the box deal with electromagnetic metamaterials and concentrate on numerical tools, and little (or no) experimental part. each one bankruptcy might be authored by means of an said specialist, among the themes lined could be experimental effects on non-destructive imaging, cloaking through floor water waves, flexural waves in skinny plates. purposes in scientific ultrasound imaging and modeling of metamaterials may be emphasised too. The ebook can function a reference for researchers who desire to construct an outstanding beginning of wave propagation during this classification of novel materials.
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Concerning the booklet: This publication is the 1st complete assessment on acoustic metamaterials; novel fabrics which could control sound waves in impressive methods, which come with collimation, focusing, cloaking, sonic screening and outstanding transmission. It covers either experimental and theoretical points of acoustic and elastic waves propagating in established composites, with a spotlight on powerful houses linked to destructive refraction, lensing and cloaking.
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Extra info for Acoustic Metamaterials: Negative Refraction, Imaging, Lensing and Cloaking
5. 19) is a thin ligament of length lj between the ‘ends of the letter C’. Here ηhj the thickness of the j th bridge, with η a small positive non-dimensional parameter. In (1) (2) our case, we have two thin bridges Πη and Πη . To derive the asymptotic expansions, we introduce the scaled variable ξ = y/η (j ) so that ξ ∈ (−hj /2, hj /2) within Πη , and 1 ∂ 2v ∂ 2v = . 7) takes the rescaled form 1 Fundamentals of Acoustic Metamaterials 17 Fig. 10 Band diagram corresponding to a square array of split ring resonators as in Fig.
We identify them as originating from local resonances of the individual cylindrical pillar and we show their dependence on the geometrical parameters, in particular with the height of the pillars. The frequency positions of these band gaps are invariant with the symmetry, and thereby the period, of the lattices, which is unexpected in band gaps based on Bragg mechanism. However, the role of the period remains important for defining the non-radiative region limited by the slowest bulk modes and influencing the existence of new surface modes of the structures.
A shortcoming of this principle was identified early in the context of low frequency acoustic applications for sound isolation, as well as earthquake shielding, which has long been regarded as a pernicious form of environmental pollution and a dangerous natural issue. In fact, complete sound attenuation for a low frequency range (10 Hz–10 KHz) needs a feature-sized structure of a few meters in order to ensure a spectral band gap with classical phononic crystals. Another approach to realize low frequency acoustic band gaps, while utilizing lattice constants much shorter than the acoustic wavelength, is to use an acoustic metamaterial.