HIGH-FREQUENCY HOMOGENIZATION FOR PERIODIC DISPERSIVE MEDIA

Marie Touboul; Benjamin Vial; Raphael Assier; Sebastien Guenneau; Richard V. Craster

doi:10.1137/23M159648X

HIGH-FREQUENCY HOMOGENIZATION FOR PERIODIC DISPERSIVE MEDIA

Marie Touboul
, Benjamin Vial
, Raphael Assier
, Sebastien Guenneau
, Richard V. Craster

Imperial College London
University of Manchester

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

10 Citations (Scopus)

Résumé

High-frequency homogenization is used to study dispersive media, containing inclusions placed periodically, for which the properties of the material depend on the frequency (Lorentz or Drude model with damping, for example). Effective properties are obtained near a given point of the dispersion diagram in frequency-wavenumber space. The asymptotic approximations of the dispersion diagrams and the wavefields so obtained are then cross-validated via detailed comparison with finite element method simulations in both one and two dimensions.

langue originale	Anglais
Pages (de - à)	1136-1168
Nombre de pages	33
journal	Multiscale Modeling and Simulation
Volume	22
Numéro de publication	3
Les DOIs	https://doi.org/10.1137/23M159648X
état	Publié - 1 janv. 2024
Modification externe	Oui

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10.1137/23M159648X

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title = "HIGH-FREQUENCY HOMOGENIZATION FOR PERIODIC DISPERSIVE MEDIA",

abstract = "High-frequency homogenization is used to study dispersive media, containing inclusions placed periodically, for which the properties of the material depend on the frequency (Lorentz or Drude model with damping, for example). Effective properties are obtained near a given point of the dispersion diagram in frequency-wavenumber space. The asymptotic approximations of the dispersion diagrams and the wavefields so obtained are then cross-validated via detailed comparison with finite element method simulations in both one and two dimensions.",

keywords = "Lorentz and Drude models, absorption, asymptotic methods, dispersive media, high-frequency homogenization, periodic media",

author = "Marie Touboul and Benjamin Vial and Raphael Assier and Sebastien Guenneau and Craster, \{Richard V.\}",

year = "2024",

month = jan,

day = "1",

doi = "10.1137/23M159648X",

language = "English",

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journal = "Multiscale Modeling and Simulation",

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T1 - HIGH-FREQUENCY HOMOGENIZATION FOR PERIODIC DISPERSIVE MEDIA

AU - Touboul, Marie

AU - Vial, Benjamin

AU - Assier, Raphael

AU - Guenneau, Sebastien

AU - Craster, Richard V.

PY - 2024/1/1

Y1 - 2024/1/1

N2 - High-frequency homogenization is used to study dispersive media, containing inclusions placed periodically, for which the properties of the material depend on the frequency (Lorentz or Drude model with damping, for example). Effective properties are obtained near a given point of the dispersion diagram in frequency-wavenumber space. The asymptotic approximations of the dispersion diagrams and the wavefields so obtained are then cross-validated via detailed comparison with finite element method simulations in both one and two dimensions.

AB - High-frequency homogenization is used to study dispersive media, containing inclusions placed periodically, for which the properties of the material depend on the frequency (Lorentz or Drude model with damping, for example). Effective properties are obtained near a given point of the dispersion diagram in frequency-wavenumber space. The asymptotic approximations of the dispersion diagrams and the wavefields so obtained are then cross-validated via detailed comparison with finite element method simulations in both one and two dimensions.

KW - Lorentz and Drude models

KW - absorption

KW - asymptotic methods

KW - dispersive media

KW - high-frequency homogenization

KW - periodic media

U2 - 10.1137/23M159648X

DO - 10.1137/23M159648X

M3 - Article

AN - SCOPUS:85204731217

SN - 1540-3459

VL - 22

SP - 1136

EP - 1168

JO - Multiscale Modeling and Simulation

JF - Multiscale Modeling and Simulation

IS - 3

ER -

HIGH-FREQUENCY HOMOGENIZATION FOR PERIODIC DISPERSIVE MEDIA

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