On two numerical methods for homogenization of Maxwell's equations
(2007) In Journal Electromagnetic Waves and Applications 21(13). p.1845-1856- 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 coefficients 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. Moreover, we provide numerical bounds on the effective permittivity. 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/637534
- author
- Engström, Christian LU and Sjöberg, Daniel LU
- organization
- publishing date
- 2007
- type
- Contribution to journal
- publication status
- published
- subject
- in
- Journal Electromagnetic Waves and Applications
- volume
- 21
- issue
- 13
- pages
- 1845 - 1856
- publisher
- VSP BV
- external identifiers
-
- wos:000250206800010
- scopus:34547303103
- ISSN
- 1569-3937
- DOI
- 10.1163/156939307781891076
- language
- English
- LU publication?
- yes
- id
- 46c43c4d-fe23-4f16-a89e-e424c291d6b3 (old id 637534)
- date added to LUP
- 2016-04-01 11:48:52
- date last changed
- 2023-06-24 04:00:08
@article{46c43c4d-fe23-4f16-a89e-e424c291d6b3, 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 coefficients 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. Moreover, we provide numerical bounds on the effective permittivity. The Floquet-Bloch method is shown to be a good alternative to the classical homogenization method, when the contrast is modest.}}, author = {{Engström, Christian and Sjöberg, Daniel}}, issn = {{1569-3937}}, language = {{eng}}, number = {{13}}, pages = {{1845--1856}}, publisher = {{VSP BV}}, series = {{Journal Electromagnetic Waves and Applications}}, title = {{On two numerical methods for homogenization of Maxwell's equations}}, url = {{http://dx.doi.org/10.1163/156939307781891076}}, doi = {{10.1163/156939307781891076}}, volume = {{21}}, year = {{2007}}, }