Effective transmission conditions for an array of locally resonant inclusions

Kim Pham; Agnès Maurel; Jean Jacques Marigo

Effective transmission conditions for an array of locally resonant inclusions

Kim Pham
, Agnès Maurel
, Jean Jacques Marigo

Centre national de la recherche scientifique
Department of Mechanics École Polytechnique

Research output: Contribution to journal › Conference article › peer-review

Abstract

We study the scattering of waves by a single row of resonant inclusions, of the Mie type. An effective model based on matched asymptotic analyzed is used to account for the small thickness of the array. Hence, instead of the effective bulk parameters (permittivity and permeabilty), we end up with interface parameters entering in jump conditions for the electromagnetic fields; among these parameters, one is frequency dependent and encapsulates the resonant behavior of the inclusions. Our effective model is validated by comparison with results of full wave calculations.

Original language	English
Pages (from-to)	717-718
Number of pages	2
Journal	International Conference on Metamaterials, Photonic Crystals and Plasmonics
Publication status	Published - 1 Jan 2019
Event	10th International Conference on Metamaterials, Photonic Crystals and Plasmonics, META 2019 - Lisbon, Portugal Duration: 23 Jul 2019 → 26 Jul 2019

Cite this

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title = "Effective transmission conditions for an array of locally resonant inclusions",

abstract = "We study the scattering of waves by a single row of resonant inclusions, of the Mie type. An effective model based on matched asymptotic analyzed is used to account for the small thickness of the array. Hence, instead of the effective bulk parameters (permittivity and permeabilty), we end up with interface parameters entering in jump conditions for the electromagnetic fields; among these parameters, one is frequency dependent and encapsulates the resonant behavior of the inclusions. Our effective model is validated by comparison with results of full wave calculations.",

author = "Kim Pham and Agn{\`e}s Maurel and Marigo, \{Jean Jacques\}",

note = "Publisher Copyright: {\textcopyright} 2019, META Conference. All rights reserved.; 10th International Conference on Metamaterials, Photonic Crystals and Plasmonics, META 2019 ; Conference date: 23-07-2019 Through 26-07-2019",

year = "2019",

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day = "1",

language = "English",

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journal = "International Conference on Metamaterials, Photonic Crystals and Plasmonics",

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TY - JOUR

T1 - Effective transmission conditions for an array of locally resonant inclusions

AU - Pham, Kim

AU - Maurel, Agnès

AU - Marigo, Jean Jacques

PY - 2019/1/1

Y1 - 2019/1/1

N2 - We study the scattering of waves by a single row of resonant inclusions, of the Mie type. An effective model based on matched asymptotic analyzed is used to account for the small thickness of the array. Hence, instead of the effective bulk parameters (permittivity and permeabilty), we end up with interface parameters entering in jump conditions for the electromagnetic fields; among these parameters, one is frequency dependent and encapsulates the resonant behavior of the inclusions. Our effective model is validated by comparison with results of full wave calculations.

AB - We study the scattering of waves by a single row of resonant inclusions, of the Mie type. An effective model based on matched asymptotic analyzed is used to account for the small thickness of the array. Hence, instead of the effective bulk parameters (permittivity and permeabilty), we end up with interface parameters entering in jump conditions for the electromagnetic fields; among these parameters, one is frequency dependent and encapsulates the resonant behavior of the inclusions. Our effective model is validated by comparison with results of full wave calculations.

M3 - Conference article

AN - SCOPUS:85172454045

SN - 2429-1390

SP - 717

EP - 718

JO - International Conference on Metamaterials, Photonic Crystals and Plasmonics

JF - International Conference on Metamaterials, Photonic Crystals and Plasmonics

T2 - 10th International Conference on Metamaterials, Photonic Crystals and Plasmonics, META 2019

Y2 - 23 July 2019 through 26 July 2019

ER -

Effective transmission conditions for an array of locally resonant inclusions

Abstract

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