By Richard V. Craster, Sébastien Guenneau
About the e-book: This e-book is the 1st finished assessment on acoustic metamaterials; novel fabrics that could control sound waves in staggering methods, which come with collimation, focusing, cloaking, sonic screening and awesome transmission. It covers either experimental and theoretical features of acoustic and elastic waves propagating in based composites, with a spotlight on potent homes linked to unfavourable 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. each one bankruptcy can be authored via an said professional, among the themes lined 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 could be emphasised too. The ebook can function a reference for researchers who desire to construct a superb starting place of wave propagation during this category of novel materials.
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Extra info for Acoustic Metamaterials: Negative Refraction, Imaging, Lensing and Cloaking
A related question, and one which is attracting steadily more attention, involves the propagation of elastic waves through heterogeneous materials. Such phononic band-gap materials would use the spacing of inhomogeneities in the materials to suppress mechanical vibrations (such as sound) in one or all directions. The advantages of being able to model and fabricate these phononic crystal materials are numerous. By adjusting the scale of these materials, they could be used either as the basis for a new generation of audio filters, or to construct earthquake-resistant foundations for buildings.
61) on ∂D, where j = 1, 2 and n = (n1 , n2 ). 62) , which is such that ∇y u1 = Ahom (y)∇x u0 . 63) Y where the second integral in the left-hand side vanishes due to the Green’s theorem. 28 S. V. Craster This leads to ∇x · χhom = k 2 uhom . 65) χ0 dy. 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.
The Theory of Composites. Cambridge University Press, Cambridge (2002) 31. : On cloaking for elasticity and physical equations with a transformation invariant form. New J. Phys. 8, 248 (2006) 32. : On the cloaking effects associated with localized anomalous resonances. Proc. R. Soc. Lond. A 462, 3027 (2006) 42 S. V. Craster 33. : Localised modes in split ring resonators. Phys. Rev. B 70, 125,116 (2004) 34. : Asymptotic estimates for localized electromagnetic modes in doubly periodic structures with defects.
Acoustic Metamaterials: Negative Refraction, Imaging, Lensing and Cloaking by Richard V. Craster, Sébastien Guenneau