By Richard V. Craster, Sébastien Guenneau
Concerning the publication: This booklet is the 1st entire assessment on acoustic metamaterials; novel fabrics that can manage sound waves in excellent methods, which come with collimation, focusing, cloaking, sonic screening and notable transmission. It covers either experimental and theoretical features of acoustic and elastic waves propagating in dependent composites, with a spotlight on powerful 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. every one bankruptcy can be authored via an said specialist, among the themes coated could be experimental effects on non-destructive imaging, cloaking via floor water waves, flexural waves in skinny plates. functions in scientific ultrasound imaging and modeling of metamaterials should be emphasised too. The ebook can function a reference for researchers who desire to construct an effective origin of wave propagation during this category of novel fabrics.
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Additional resources for Acoustic Metamaterials: Negative Refraction, Imaging, Lensing and Cloaking (Springer Series in Materials Science)
Here, ε is a piecewise constant function equal to εr inside the rods, to εe in the host medium and to 1 (air) outside the overall structure. In order to derive the effective parameters of the photonic crystal, we assume that the wavelength λ is large with respect to the period d of the crystal and we denote by the small positive parameter η = d/λ. e. we are in the quasi-static limit. As explained by O’Brien and Pendry , what is central to the artificial magnetism is the local resonances of the high-contrast rods.
The structural 2 Locally Resonant Structures for Low Frequency Surface Acoustic Band Gap Applications 45 units of metamaterials can be tailored in shape and size, their composition and morphology can be artificially tuned, and inclusions can be designed and placed in a predetermined manner to achieve prescribed functionalities. The first acoustic metamaterials appearing in the literature were so-called locally resonant sonic crystals  with acoustic resonators built into individual unit cells.
This can be recast as: ∇x (ρhom uhom ) Y \D 1 + Ahom (y) dy + Y \D ∇y u1 dy = μ−1 e χhom . 67) where the effective shear modulus can be expressed as: μhom = μe Y \D 1 + Ahom (y) dy. 67) clearly shows that the effective medium has both an effective anisotropic shear modulus and an effective scalar density. 59). To do so, we introduce the following spectral problem: −Δy φ = Λφ φ = 0 on ∂D. 69) This leads to a family of eigenvalues Λp and associated eigenfunctions (possibly degenerate) φpl (the index l accounts for the degeneracy).