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

共 50 条

[21] HIGH-FREQUENCY CUTOFF PERIODIC DIELECTRIC WAVEGUIDES
DABBY, FW
SAIFI, MA
KESTENBAUM, A
APPLIED PHYSICS LETTERS, 1973, 22 (04) : 190 - 191
[22] High-frequency spectra and the periodic table.
Hicks, W. M.
PHILOSOPHICAL MAGAZINE, 1914, 28 (163-68) : 139 - 142
[23] LONGITUDINAL IMPEDANCE OF A PERIODIC STRUCTURE AT HIGH-FREQUENCY
GLUCKSTERN, RL
PHYSICAL REVIEW D, 1989, 39 (09): : 2780 - 2783
[24] COLD HOMOGENIZATION BY MUTUAL DIFFUSION IN A DISPERSIVE MEDIA
GEGUZIN, YY
KAGANOVSKIY, YS
PARITSKAYA, LN
FIZIKA METALLOV I METALLOVEDENIE, 1982, 54 (01): : 137 - 143
[25] A hybrid symplectic and high-frequency homogenization analysis for the dispersion property of periodic micro-structured thin plate structures
Ma, Yongbin
Deng, Zichen
APPLIED MATHEMATICAL MODELLING, 2021, 93 : 276 - 293
[26] Solar coronal heating by high-frequency dispersive Alfven waves
Shukla, PK
Bingham, R
McKenzie, JF
Axford, WI
SOLAR PHYSICS, 1999, 186 (1-2) : 61 - 66
[27] A dispersive model for wave propagation in periodic heterogeneous media based on homogenization with multiple spatial and temporal scales
Chen, W
Fish, J
JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME, 2001, 68 (02): : 153 - 161
[28] WAVE INTERACTION IN MEDIA WITH HIGH-FREQUENCY ATTENUATION
GURBATOV, SN
SOVIET PHYSICS ACOUSTICS-USSR, 1980, 26 (03): : 257 - 258
[29] HIGH-FREQUENCY REFRACTION AND DIFFRACTION IN GENERAL MEDIA
JONES, DS
PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1963, 255 (1058) : 341 - 387
[30] High-frequency homogenization of zero-frequency stop band photonic and phononic crystals
Antonakakis, T.
Craster, R. V.
Guenneau, S.
NEW JOURNAL OF PHYSICS, 2013, 15

← 1 2 3 4 5 →