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

Engström, Christian LU and Sjöberg, Daniel LU (2004) In Technical Report LUTEDX/(TEAT-7121)/1-10/(2004) TEAT-7121.
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.
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organization
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type
Book/Report
publication status
published
subject
in
Technical Report LUTEDX/(TEAT-7121)/1-10/(2004)
volume
TEAT-7121
pages
10 pages
publisher
[Publisher information missing]
language
English
LU publication?
yes
id
31f1dbee-1e97-4e55-835f-9e3ee53f644a (old id 530312)
date added to LUP
2007-09-06 14:47:12
date last changed
2016-06-20 13:06:09
@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  = {[Publisher information missing]},
  language     = {eng},
  pages        = {10},
  series       = {Technical Report LUTEDX/(TEAT-7121)/1-10/(2004)},
  title        = {A comparison of two numerical methods for homogenization of Maxwell's equations},
  volume       = {TEAT-7121},
  year         = {2004},
}