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Acoustic cloaking: Geometric transform,homogenization and a genetic algorithm
Institution:1. Nanophotonics Technology Center, Universitat Politècnica de València, 46022 Valencia, Spain;2. ESA Advanced Concepts Team, ESTEC, Keplerlaan 1, Postbus 299, 2200 AG Noordwijk, The Netherlands;3. Instituto de Astrofísica de Andalucía (CSIC), Glorieta de la Astronomía, 18008 Granada, Spain;4. Wave Phenomena Group, Universitat Politècnica de València, 46022 Valencia, Spain;5. Modelling and Numerical Simulation Group, Universidad Carlos III de Madrid, 28911 Leganés, Spain
Abstract:A general process is proposed to experimentally design anisotropic inhomogeneous metamaterials obtained through a change of coordinates in the Helmholtz equation. The method is applied to the case of a cylindrical transformation that allows cloaking to be performed. To approximate such complex metamaterials we apply results of the theory of homogenization and combine them with a genetic algorithm. To illustrate the power of our approach, we design three types of cloaks composed of isotropic concentric layers structured with three types of perforations: curved rectangles, split rings and crosses. These cloaks have parameters compatible with existing technology and they mimic the behavior of the transformed material. Numerical simulations have been performed to qualitatively and quantitatively study the cloaking efficiency of these metamaterials.
Keywords:Cloaking  Homogenization  Genetic algorithm  Geometric transform  Machine learning
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