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Homogenization of the Maxwell equations in an anisotropic material

Kristensson, Gerhard LU (2002) In Technical Report LUTEDX/(TEAT-7104)/1-12/(2002)
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, respectively, 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
Book/Report
publication status
published
subject
in
Technical Report LUTEDX/(TEAT-7104)/1-12/(2002)
pages
12 pages
publisher
[Publisher information missing]
report number
TEAT-7104
language
English
LU publication?
yes
additional info
Published version: Radio Science 38(2), 8019, 2003, doi:10.1029/2001RS002573
id
0ecce2d8-a0c5-45f8-8d86-3fff20035f91 (old id 525958)
date added to LUP
2016-04-04 14:35:12
date last changed
2018-11-21 21:21:10
@techreport{0ecce2d8-a0c5-45f8-8d86-3fff20035f91,
  abstract     = {{This paper contains an overview of the homogenization of anisotropic materials<br/><br>
at fixed frequency using the concept of two-scaled convergence. The<br/><br>
homogenized electric and magnetic parameters, the relative permittivity and<br/><br>
the relative permeability, respectively, are found by suitable averages of the<br/><br>
solution of a local problem in the unit cell. A comparison between the exact<br/><br>
homogenization method presented in this paper and the traditional mixture<br/><br>
formulae, which are based on physical arguments, is made.}},
  author       = {{Kristensson, Gerhard}},
  institution  = {{[Publisher information missing]}},
  language     = {{eng}},
  number       = {{TEAT-7104}},
  series       = {{Technical Report LUTEDX/(TEAT-7104)/1-12/(2002)}},
  title        = {{Homogenization of the Maxwell equations in an anisotropic material}},
  url          = {{https://lup.lub.lu.se/search/files/6394414/623549.pdf}},
  year         = {{2002}},
}