By Richard V. Craster, Sébastien Guenneau
About the ebook: This booklet is the 1st complete assessment on acoustic metamaterials; novel fabrics that can manage sound waves in awesome methods, which come with collimation, focusing, cloaking, sonic screening and notable transmission. It covers either experimental and theoretical facets of acoustic and elastic waves propagating in dependent composites, with a spotlight on potent houses linked to destructive 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 may be authored by means of an stated professional, among the subjects coated may be experimental effects on non-destructive imaging, cloaking by means of floor water waves, flexural waves in skinny plates. purposes in scientific ultrasound imaging and modeling of metamaterials may be emphasised too. The publication can function a reference for researchers who desire to construct a fantastic beginning of wave propagation during this type of novel materials.
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Extra info for Acoustic Metamaterials: Negative Refraction, Imaging, Lensing and Cloaking
The modal shape and polarization of these guided modes are more complex than those of classical surface waves propagating on a homogeneous surface. Significantly, an in-plane polarized wave and a transverse wave with sagittal polarization appear that are not supported by the free surface. In addition, the band diagram of the guided modes defines band gaps that appear at frequencies markedly lower than those expected from the Bragg mechanism. 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.
2 Model and Method of Calculation As illustrated in Fig. 1, we consider square, triangular and honeycomb lattice arrays of cylindrical pillars on the surface of a semi-infinite substrate. The z axis is chosen to be perpendicular to the surface and parallel to the cylinder axis.
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. Phys. Rev. E 80, 046309 (2009) 16. : On nonuniqueness for Calderon’s inverse problem. Math. Res. Lett. 10, 685–693 (2003) 17. : L’invisibilite en vue. Pour Sci. (French edn. of Sci. ) 382, 42–49 (2009) 18. : Perfect corner reflector. Opt. Lett. 30, 1204–1206 (2005) 19.