Soda Cans Metamaterial: A Subwavelength-Scaled Phononic Crystal

Photonic or phononic crystals and metamaterials, due to their very different typical spatial scales—wavelength and deep subwavelength—and underlying physical mechanisms—Bragg interferences or local resonances—, are often considered to be very different composite media. As such, while the former are...

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Main Authors: Fabrice Lemoult, Nadège Kaina, Mathias Fink, Geoffroy Lerosey
Format: Article
Language:English
Published: MDPI AG 2016-07-01
Series:Crystals
Subjects:
Online Access:http://www.mdpi.com/2073-4352/6/7/82
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author Fabrice Lemoult
Nadège Kaina
Mathias Fink
Geoffroy Lerosey
author_facet Fabrice Lemoult
Nadège Kaina
Mathias Fink
Geoffroy Lerosey
author_sort Fabrice Lemoult
collection DOAJ
description Photonic or phononic crystals and metamaterials, due to their very different typical spatial scales—wavelength and deep subwavelength—and underlying physical mechanisms—Bragg interferences or local resonances—, are often considered to be very different composite media. As such, while the former are commonly used to manipulate and control waves at the scale of the unit cell, i.e., wavelength, the latter are usually considered for their effective properties. Yet we have shown in the last few years that under some approximations, metamaterials can be used as photonic or phononic crystals, with the great advantage that they are much more compact. In this review, we will concentrate on metamaterials made out of soda cans, that is, Helmholtz resonators of deep subwavelength dimensions. We will first show that their properties can be understood, likewise phononic crystals, as resulting from interferences only, through multiple scattering effects and Fano interferences. Then, we will demonstrate that below the resonance frequency of its unit cell, a soda can metamaterial supports a band of subwavelength varying modes, which can be excited coherently using time reversal, in order to beat the diffraction limit from the far field. Above this frequency, the metamaterial supports a band gap, which we will use to demonstrate cavities and waveguides, very similar to those obtained in phononic crystals, albeit of deep subwavelength dimensions. We will finally show that multiple scattering can be taken advantage of in these metamaterials, by correctly structuring them. This allows to turn a metamaterial with a single negative effective property into a negative index metamaterial, which refracts waves negatively, hence acting as a superlens.
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spelling doaj.art-8130a6d4242f46bcb588018f2754af112022-12-22T02:57:13ZengMDPI AGCrystals2073-43522016-07-01678210.3390/cryst6070082cryst6070082Soda Cans Metamaterial: A Subwavelength-Scaled Phononic CrystalFabrice Lemoult0Nadège Kaina1Mathias Fink2Geoffroy Lerosey3Institut Langevin, ESPCI Paris and CNRS UMR 7587, 1 rue Jussieu, 75005 Paris, FranceInstitut Langevin, ESPCI Paris and CNRS UMR 7587, 1 rue Jussieu, 75005 Paris, FranceInstitut Langevin, ESPCI Paris and CNRS UMR 7587, 1 rue Jussieu, 75005 Paris, FranceInstitut Langevin, ESPCI Paris and CNRS UMR 7587, 1 rue Jussieu, 75005 Paris, FrancePhotonic or phononic crystals and metamaterials, due to their very different typical spatial scales—wavelength and deep subwavelength—and underlying physical mechanisms—Bragg interferences or local resonances—, are often considered to be very different composite media. As such, while the former are commonly used to manipulate and control waves at the scale of the unit cell, i.e., wavelength, the latter are usually considered for their effective properties. Yet we have shown in the last few years that under some approximations, metamaterials can be used as photonic or phononic crystals, with the great advantage that they are much more compact. In this review, we will concentrate on metamaterials made out of soda cans, that is, Helmholtz resonators of deep subwavelength dimensions. We will first show that their properties can be understood, likewise phononic crystals, as resulting from interferences only, through multiple scattering effects and Fano interferences. Then, we will demonstrate that below the resonance frequency of its unit cell, a soda can metamaterial supports a band of subwavelength varying modes, which can be excited coherently using time reversal, in order to beat the diffraction limit from the far field. Above this frequency, the metamaterial supports a band gap, which we will use to demonstrate cavities and waveguides, very similar to those obtained in phononic crystals, albeit of deep subwavelength dimensions. We will finally show that multiple scattering can be taken advantage of in these metamaterials, by correctly structuring them. This allows to turn a metamaterial with a single negative effective property into a negative index metamaterial, which refracts waves negatively, hence acting as a superlens.http://www.mdpi.com/2073-4352/6/7/82acousticsmetamaterialphononic crystalsmultiple scattering
spellingShingle Fabrice Lemoult
Nadège Kaina
Mathias Fink
Geoffroy Lerosey
Soda Cans Metamaterial: A Subwavelength-Scaled Phononic Crystal
Crystals
acoustics
metamaterial
phononic crystals
multiple scattering
title Soda Cans Metamaterial: A Subwavelength-Scaled Phononic Crystal
title_full Soda Cans Metamaterial: A Subwavelength-Scaled Phononic Crystal
title_fullStr Soda Cans Metamaterial: A Subwavelength-Scaled Phononic Crystal
title_full_unstemmed Soda Cans Metamaterial: A Subwavelength-Scaled Phononic Crystal
title_short Soda Cans Metamaterial: A Subwavelength-Scaled Phononic Crystal
title_sort soda cans metamaterial a subwavelength scaled phononic crystal
topic acoustics
metamaterial
phononic crystals
multiple scattering
url http://www.mdpi.com/2073-4352/6/7/82
work_keys_str_mv AT fabricelemoult sodacansmetamaterialasubwavelengthscaledphononiccrystal
AT nadegekaina sodacansmetamaterialasubwavelengthscaledphononiccrystal
AT mathiasfink sodacansmetamaterialasubwavelengthscaledphononiccrystal
AT geoffroylerosey sodacansmetamaterialasubwavelengthscaledphononiccrystal