A comparison of two numerical methods for homogenization of Maxwell's equations
(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:
https://lup.lub.lu.se/record/530312
- author
- Engström, Christian LU and Sjöberg, Daniel LU
- organization
- publishing date
- 2004
- 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}}, }