By Richard V. Craster, Sébastien Guenneau
About the ebook: This booklet is the 1st finished evaluation on acoustic metamaterials; novel fabrics that can control sound waves in fantastic methods, which come with collimation, focusing, cloaking, sonic screening and remarkable transmission. It covers either experimental and theoretical facets of acoustic and elastic waves propagating in dependent composites, with a spotlight on powerful houses linked to damaging refraction, lensing and cloaking. so much comparable books within the box deal with electromagnetic metamaterials and concentrate on numerical equipment, and little (or no) experimental part. every one bankruptcy can be authored by way of an stated professional, among the themes coated may be experimental effects on non-destructive imaging, cloaking via floor water waves, flexural waves in skinny plates. purposes in scientific ultrasound imaging and modeling of metamaterials can be emphasised too. The publication can function a reference for researchers who desire to construct a pretty good beginning of wave propagation during this category of novel materials.
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Additional info for Acoustic Metamaterials: Negative Refraction, Imaging, Lensing and Cloaking
A brief introduction to the design of metamaterials via geometric transformations has also been provided, with an emphasis on correspondences between governing equations in electromagnetics, acoustics and elastodynamics which are detailed in following chapters. References 1. : Achieving transparency with plasmonic and metamaterial coatings. Phys. Rev. E 72, 016623 (2005) 2. : Asymptotic models of dilute composites with imperfectly bonded inclusions. Int. J. Solids Struct. 35, 3239 (1998) 3. : Homogenization of Maxwell’s equations in a split ring geometry.
Theory Tech. 47, 2075–2084 (1996) 43. : Focussing light with negative refractive index. J. Phys. Condens. Matter 15, 6345 (2003) 44. : Controlling electromagnetic fields. Science 312, 1780– 1782 (2006) 45. : Physics of negative refractive index materials. Rep. Prog. Phys. 68, 449 (2005) 46. : Light confinement through negative refraction in photonic crystal and metamaterial checkerboards. Phys. Rev. A 75, 063830 (2007) 47. : Sonic band gap PCF preforms: enhancing the interaction of sound and light.
We report in Fig. 10 finite element computations for a periodic cell of side length d with a double C-shaped void. 03d. 5 for the lowest value point on the second dispersion curve on Fig. 10 occurring at the A point (where the Bloch vector k vanishes). This provides us with an estimate of the upper-edge frequency of the first gap. We note that if we take V (0) = 0 instead of V (0) = meas(Ξ )/meas(Y \ Ω) (cf. 39 for the lower-edge of the first gap (occurring at the C point when k = (π, π)). The associated eigenfield is strongly localized inside the SRR, as can be seen in Fig.
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