HOMOGENIZATION OF DIELECTRIC PHOTONIC QUASI CRYSTALS

被引：22

作者：

Bouchitte, Guy ^{[1
]}

Guenneau, Sebastien ^{[2
]}

Zolla, Frederic ^{[2
]}

机构：

[1] Univ Toulon & Var, Dept Math, Lab IMATH, F-83957 La Garde, France

[2] Univ Provence, UMR CNRS 6133, Inst Fresnel, F-13390 Marseille, France

来源：

MULTISCALE MODELING & SIMULATION | 2010年 / 8卷 / 05期

基金：

英国工程与自然科学研究理事会;

关键词：

two-scale convergence; cut-and-projection method; quasi crystals; scattering electromagnetism; 2-SCALE CONVERGENCE; PERIODIC-FUNCTIONS;

D O I：

10.1137/090770333

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We adapt two-scale convergence to the homogenization of photonic quasi-periodic structures such as Penrose tilings. This convergence relies upon the irrational nature of a parameter characterizing a quasi-crystalline phase through its associated cut-and-projection matrix of permittivity: We generate quasi crystals by considering a periodic structure in an upper-dimensional space. We apply this tool to the homogenization of the vector Maxwell system.

引用

页码：1862 / 1881

页数：20

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