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A comparison of two numerical methods for homogenization of Maxwell's equations

Engström, Christian LU and Sjöberg, Daniel LU orcid (2004) In Technical Report LUTEDX/(TEAT-7121)/1-10/(2004)
Abstract
When the wavelength is much larger than the typical scale of the microstructure

in a material, it is possible to define effective or homogenized material

coefficients. The classical way of determination of the homogenized coeffi-

cients consists of solving an elliptic problem in a unit cell. This method and

the Floquet-Bloch method, where an eigenvalue problem is solved, are numerically

compared with respect to accuracy and contrast sensitivity. The

Floquet-Bloch method is shown to be a good alternative to the classical homogenization

method, when the contrast is modest.
Please use this url to cite or link to this publication:
author
and
organization
publishing date
type
Book/Report
publication status
published
subject
in
Technical Report LUTEDX/(TEAT-7121)/1-10/(2004)
pages
10 pages
publisher
Electromagnetic Theory Department of Electrical and Information Technology Lund University Sweden
report number
TEAT-7121
language
English
LU publication?
yes
additional info
Published version: Journal of Electromagnetic Waves and Applications, Vol. 21, No. 13, pp. 1845-1856, 2007.
id
31f1dbee-1e97-4e55-835f-9e3ee53f644a (old id 530312)
date added to LUP
2016-04-04 12:52:48
date last changed
2023-03-24 13:06:39
@techreport{31f1dbee-1e97-4e55-835f-9e3ee53f644a,
  abstract     = {{When the wavelength is much larger than the typical scale of the microstructure<br/><br>
in a material, it is possible to define effective or homogenized material<br/><br>
coefficients. The classical way of determination of the homogenized coeffi-<br/><br>
cients consists of solving an elliptic problem in a unit cell. This method and<br/><br>
the Floquet-Bloch method, where an eigenvalue problem is solved, are numerically<br/><br>
compared with respect to accuracy and contrast sensitivity. The<br/><br>
Floquet-Bloch method is shown to be a good alternative to the classical homogenization<br/><br>
method, when the contrast is modest.}},
  author       = {{Engström, Christian and Sjöberg, Daniel}},
  institution  = {{Electromagnetic Theory Department of Electrical and Information Technology Lund University Sweden}},
  language     = {{eng}},
  number       = {{TEAT-7121}},
  series       = {{Technical Report LUTEDX/(TEAT-7121)/1-10/(2004)}},
  title        = {{A comparison of two numerical methods for homogenization of Maxwell's equations}},
  url          = {{https://lup.lub.lu.se/search/files/6013995/624873.pdf}},
  year         = {{2004}},
}