Premium
Homogenization of the Maxwell equations in an anisotropic material
Author(s) -
Kristensson Gerhard
Publication year - 2003
Publication title -
radio science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.371
H-Index - 84
eISSN - 1944-799X
pISSN - 0048-6604
DOI - 10.1029/2001rs002573
Subject(s) - homogenization (climate) , anisotropy , permittivity , maxwell's equations , relative permittivity , mathematical analysis , permeability (electromagnetism) , mathematics , materials science , physics , dielectric , optics , chemistry , quantum mechanics , biodiversity , ecology , biology , biochemistry , membrane
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.