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Homogenization of the Maxwell equations in an anisotropic material

Kristensson, Gerhard LU (2003) In Radio Science 38(2). p.1-19
Abstract
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.
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Radio Science
volume
38
issue
2
pages
1 - 19
publisher
American Geophysical Union (AGU)
external identifiers
  • wos:000182358400001
  • scopus:0038002800
ISSN
0048-6604
DOI
10.1029/2001RS002573
language
English
LU publication?
yes
id
d1727146-b03e-4c6e-a30c-315f1c810a58 (old id 144263)
date added to LUP
2016-04-01 16:12:11
date last changed
2022-04-22 20:20:20
@article{d1727146-b03e-4c6e-a30c-315f1c810a58,
  abstract     = {{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.}},
  author       = {{Kristensson, Gerhard}},
  issn         = {{0048-6604}},
  language     = {{eng}},
  number       = {{2}},
  pages        = {{1--19}},
  publisher    = {{American Geophysical Union (AGU)}},
  series       = {{Radio Science}},
  title        = {{Homogenization of the Maxwell equations in an anisotropic material}},
  url          = {{http://dx.doi.org/10.1029/2001RS002573}},
  doi          = {{10.1029/2001RS002573}},
  volume       = {{38}},
  year         = {{2003}},
}