HIGH-FREQUENCY HOMOGENIZATION FOR PERIODIC DISPERSIVE MEDIA

被引：2

作者：

Touboul, Marie ^{[1
]}

Vial, Benjamin ^{[2
]}

Assier, Raphael ^{[3
]}

Guenneau, Sbastien ^{[4
]}

V. Craster, Richard ^{[5
]}

机构：

[1] Imperial Coll London, Dept Math, UMI 2004 Abraham Moivre CNRS, London SW7 2AZ, England

[2] Imperial Coll London, Dept Math, London SW7 2AZ, England

[3] Univ Manchester, Dept Math, Manchester M13 9PL, Lancs, England

[4] Imperial Coll London, Dept Phys, Blackett Lab, UMI 2004 Abraham Moivre CNRS, London SW7 2AZ, England

[5] Imperial Coll London, Dept Math, Dept Mech Engn, UMI 2004 Abraham Moivre CNRS, London SW7 2AZ, England

来源：

MULTISCALE MODELING & SIMULATION | 2024年 / 22卷 / 03期

基金：

欧盟地平线“2020”; 英国工程与自然科学研究理事会; 英国科研创新办公室;

关键词：

dispersive media; absorption; Lorentz and Drude models; high-frequency homogenization; periodic media; asymptotic methods; BAND-GAP; CRYSTALS;

D O I：

10.1137/23M159648X

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：1136 / 1168

页数：33

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