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Title: Acoustic cloaking: Geometric transform, homogenization and a genetic algorithm

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.

Authors:
 [1];  [1]; ORCiD logo [2];  [1]
  1. Aix Marseille Univ., Marseille (France)
  2. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Publication Date:
Research Org.:
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Sponsoring Org.:
USDOE Office of Nuclear Energy (NE)
OSTI Identifier:
1569621
Report Number(s):
LA-UR-19-24412
Journal ID: ISSN 0165-2125
Grant/Contract Number:  
89233218CNA000001
Resource Type:
Accepted Manuscript
Journal Name:
Wave Motion
Additional Journal Information:
Journal Volume: 92; Journal Issue: C; Journal ID: ISSN 0165-2125
Publisher:
Elsevier
Country of Publication:
United States
Language:
English
Subject:
36 MATERIALS SCIENCE; Metamaterials; Elastic Waves; Homogenization; Helmholtz Equation; Cloaking; Genetic Algorithm; Geometric Transformation; Machine learning

Citation Formats

Pomot, Lucas, Payan, Cédric, Remillieux, Marcel, and Guenneau, Sébastien. Acoustic cloaking: Geometric transform, homogenization and a genetic algorithm. United States: N. p., 2019. Web. doi:10.1016/j.wavemoti.2019.102413.
Pomot, Lucas, Payan, Cédric, Remillieux, Marcel, & Guenneau, Sébastien. Acoustic cloaking: Geometric transform, homogenization and a genetic algorithm. United States. doi:10.1016/j.wavemoti.2019.102413.
Pomot, Lucas, Payan, Cédric, Remillieux, Marcel, and Guenneau, Sébastien. Tue . "Acoustic cloaking: Geometric transform, homogenization and a genetic algorithm". United States. doi:10.1016/j.wavemoti.2019.102413.
@article{osti_1569621,
title = {Acoustic cloaking: Geometric transform, homogenization and a genetic algorithm},
author = {Pomot, Lucas and Payan, Cédric and Remillieux, Marcel and Guenneau, Sébastien},
abstractNote = {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.},
doi = {10.1016/j.wavemoti.2019.102413},
journal = {Wave Motion},
number = C,
volume = 92,
place = {United States},
year = {2019},
month = {9}
}

Journal Article:
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This content will become publicly available on September 17, 2020
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