By Richard V. Craster, Sébastien Guenneau
About the e-book: This ebook is the 1st entire assessment on acoustic metamaterials; novel fabrics which may manage sound waves in dazzling methods, which come with collimation, focusing, cloaking, sonic screening and awesome transmission. It covers either experimental and theoretical facets of acoustic and elastic waves propagating in based composites, with a spotlight on potent houses linked to unfavourable refraction, lensing and cloaking. such a lot comparable books within the box deal with electromagnetic metamaterials and concentrate on numerical tools, and little (or no) experimental part. each one bankruptcy may be authored by way of an stated specialist, among the themes lined might 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 should be emphasised too. The publication can function a reference for researchers who desire to construct a fantastic starting place of wave propagation during this classification of novel materials.
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Extra resources for Acoustic Metamaterials: Negative Refraction, Imaging, Lensing and Cloaking
13 where they describe the scale of the macroscopic obstacle. 79) where the term −β 2 u corresponds to a constant elastic restoring parameter in a Winkler model. This example is instructive as it can be solved exactly, it has a zerofrequency stop band (and so homogenization theory is normally of no use) and one can compare easily to the high frequency homogenization asymptotics: the results are shown in Fig. 24. These ideas carry across to two-dimensions too, for instance a checkerboard medium [8, 9] created from cells repeated to fill the plane.
Wave Motion 48, 525–538 (2011) 37. : Superprism phenomena in photonic crystals. Opt. Quantum Electron. 34, 133 (2002) 38. : Photonic band-gap effects and magnetic activity in dielectric composites. J. Phys. Condens. Matter 14, 4035–4044 (2002) 39. : Negative refraction makes a perfect lens. Phys. Rev. Lett. 85, 3966–3969 (2000) 40. : Negative refraction. Contemp. Phys. 45, 191 (2004) 41. : Extremely low frequency plasmons in metallic mesostructures. Phys. Rev. Lett. 76, 4763 (1996) 42. : Magnetism from conductors and enhanced nonlinear phenomena.
In this case, the spatial period of the crystal is of the same order of magnitude as the acoustic wavelength at the central frequency of the gap and, as a consequence, the lattice constant has generally been the key parameter to scale band gaps. 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.