By Richard V. Craster, Sébastien Guenneau
About the publication: This booklet is the 1st entire evaluation on acoustic metamaterials; novel fabrics that may control sound waves in spectacular methods, which come with collimation, focusing, cloaking, sonic screening and awesome transmission. It covers either experimental and theoretical elements of acoustic and elastic waves propagating in dependent composites, with a spotlight on powerful houses linked to unfavorable refraction, lensing and cloaking. such a lot similar books within the box deal with electromagnetic metamaterials and concentrate on numerical equipment, and little (or no) experimental part. every one bankruptcy may be authored via an stated professional, among the subjects coated might be experimental effects on non-destructive imaging, cloaking by means of floor water waves, flexural waves in skinny plates. functions in scientific ultrasound imaging and modeling of metamaterials might be emphasised too. The publication can function a reference for researchers who desire to construct a pretty good origin of wave propagation during this classification of novel materials.
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Extra info for Acoustic Metamaterials: Negative Refraction, Imaging, Lensing and Cloaking
Stop-bands, whose edges are accurately predicted by HFH, are shown shaded. [From ] Fig. 172 for the checkerboard structure with r = 10. Panel (a) shows |u| as a globally decaying solution modulating an oscillatory behavior. Panel (b) gives u along the line y = 1/2 as the solid line lying within a dashed envelope given by the asymptotic relation. Panel (c) is further detail of the solution along this line with the points marking the cell-edges demonstrating the local out-of-phase oscillations from cell to cell.
Physical considerations based on dimensional analysis lead to the choice  ζ = E −1/2 and λ = ρ −1/2 , where E has the dimension of a Young modulus r 2 0 2 and ρ of a density. Cloaking further requires that Er = ( r−r r ) , Eθ = ( r−r0 ) and 0 2 ρ = α 4 ( r−r r ) where α = r1 /(r1 − r0 ); r0 and r1 are the interior and the exterior radii of the elastic coat of thickness h. As it turns out, it is fairly easy to achieve such material parameters (except as usual for r = r0 ), and a workable prototype of an anti-earthquake cloak could be as in Fig.
A 466, 2341–2362 (2010) 11. : One path to acoustic cloaking. New J. Phys. 9, 45 (2007) 12. : Ultrasonic metamaterials with negative modulus. Nature 5, 452 (2006) 13. : Broadband cylindrical acoustic cloak for linear surface waves in a fluid. Phys. Rev. Lett. 101, 134501 (2008) 14. : Cloaking bending waves propagating in thin plates. Phys. Rev. B 79, 033102 (2009) 15. : Negative refraction, surface modes, and superlensing effect via homogenization near resonances for a finite array of split-ring resonators.