Homogenization of the Maxwell equations in an anisotropic material

被引：5
|
作者：
Kristensson, G [1 ]
机构：
[1] Lund Inst Technol, Dept Electrosci, SE-22100 Lund, Sweden
来源：
RADIO SCIENCE | 2003年 / 38卷 / 02期
关键词：
homogenization; effective permittivity; anisotropic material;
D O I：
10.1029/2001RS002573
中图分类号：
P1 [天文学];
学科分类号：
0704 ;
摘要：
[1] This paper contains an overview of the homogenization of anisotropic materials at fixed frequency using the concept of two-scaled convergence. The homogenized electric and magnetic parameters, the relative permittivity, and the relative permeability are found by suitable averages of the solution of a local problem in the unit cell. A comparison between the exact homogenization method presented in this paper and the traditional mixture formulae, which are based on physical arguments, is made.
引用
收藏
页数：8
相关论文
共 50 条
  • [1] On the homogenization of Maxwell equations
    Bossavit, A
    COMPEL-THE INTERNATIONAL JOURNAL FOR COMPUTATION AND MATHEMATICS IN ELECTRICAL AND ELECTRONIC ENGINEERING, 1995, 14 (04) : 23 - 26
  • [2] Homogenization of Maxwell's equations
    Pankratova, I.
    Khruslov, E.
    MMET 2006: 11TH INTERNATIONAL CONFERENCE ON MATHEMATICAL METHODS IN ELECTROMAGNETIC THEORY, CONFERENCE PROCEEDINGS, 2006, : 239 - +
  • [3] Homogenization of Maxwell equations and the Maxwell-Wagner dispersion
    Shelukhin, V. V.
    Terent'ev, S. A.
    DOKLADY EARTH SCIENCES, 2009, 424 (01) : 155 - 159
  • [4] Homogenization of Maxwell equations and the Maxwell-Wagner dispersion
    V. V. Shelukhin
    S. A. Terent’ev
    Doklady Earth Sciences, 2009, 424 : 155 - 159
  • [5] Scaling theory for homogenization of the Maxwell equations
    Vinogradov, AP
    Aivazyan, AV
    PHYSICAL REVIEW E, 1999, 60 (01) : 987 - 993
  • [6] Scaling theory for homogenization of the Maxwell equations
    Vinogradov, AP
    SMART MATERIALS, STRUCTURES, AND INTEGRATED SYSTEMS, 1997, 3241 : 168 - 179
  • [7] Homogenization of the Maxwell equations at fixed frequency
    Wellander, N
    Kristensson, G
    SIAM JOURNAL ON APPLIED MATHEMATICS, 2003, 64 (01) : 170 - 195
  • [8] Homogenization of dispersive material parameters for Maxwell's equations using a singular value decomposition
    Sjöberg, D
    MULTISCALE MODELING & SIMULATION, 2005, 4 (03): : 760 - 789
  • [9] Homogenization technique for Maxwell equations in periodic structures
    ElFeddi, M
    Ren, Z
    Razek, A
    Bossavit, A
    IEEE TRANSACTIONS ON MAGNETICS, 1997, 33 (02) : 1382 - 1385
  • [10] Application of the matrix homogenization method to the Maxwell equations
    Starkov, Ivan A.
    Starkov, Alexander S.
    PROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON DAYS ON DIFFRACTION 2016 (DD), 2016, : 396 - 401
12345