Homogenization of the Maxwell Equations at Fixed Frequency
(2003) In SIAM Journal on Applied Mathematics 64(1). p.170-195- Abstract
- The homogenization of the Maxwell equations at fixed frequency is addressed in this paper. The bulk (homogenized) electric and magnetic properties of a material with a periodic microstructure are found from the solution of a local problem on the unit cell by suitable averages. The material can be anisotropic and satisfies a coercivity condition. The exciting field is generated by an incident field from sources outside the material under investigation. A suitable sesquilinear form is defined for the interior problem, and the exterior Calderón operator is used to solve the exterior radiating fields. The concept of two-scale convergence is employed to solve the homogenization problem. A new a priori estimate is proved as well as a new result... (More)
- The homogenization of the Maxwell equations at fixed frequency is addressed in this paper. The bulk (homogenized) electric and magnetic properties of a material with a periodic microstructure are found from the solution of a local problem on the unit cell by suitable averages. The material can be anisotropic and satisfies a coercivity condition. The exciting field is generated by an incident field from sources outside the material under investigation. A suitable sesquilinear form is defined for the interior problem, and the exterior Calderón operator is used to solve the exterior radiating fields. The concept of two-scale convergence is employed to solve the homogenization problem. A new a priori estimate is proved as well as a new result on the correctors. (Less)
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/144266
- author
- Wellander, Niklas LU and Kristensson, Gerhard LU
- organization
- publishing date
- 2003
- type
- Contribution to journal
- publication status
- published
- subject
- in
- SIAM Journal on Applied Mathematics
- volume
- 64
- issue
- 1
- pages
- 170 - 195
- publisher
- Society for Industrial and Applied Mathematics
- external identifiers
-
- wos:000187741700009
- scopus:1842458239
- ISSN
- 0036-1399
- DOI
- 10.1137/S0036139902403366
- language
- English
- LU publication?
- yes
- id
- 2ba4d526-3442-46ff-8caa-92c0716c2d91 (old id 144266)
- date added to LUP
- 2016-04-01 15:54:04
- date last changed
- 2022-03-07 02:12:56
@article{2ba4d526-3442-46ff-8caa-92c0716c2d91, abstract = {{The homogenization of the Maxwell equations at fixed frequency is addressed in this paper. The bulk (homogenized) electric and magnetic properties of a material with a periodic microstructure are found from the solution of a local problem on the unit cell by suitable averages. The material can be anisotropic and satisfies a coercivity condition. The exciting field is generated by an incident field from sources outside the material under investigation. A suitable sesquilinear form is defined for the interior problem, and the exterior Calderón operator is used to solve the exterior radiating fields. The concept of two-scale convergence is employed to solve the homogenization problem. A new a priori estimate is proved as well as a new result on the correctors.}}, author = {{Wellander, Niklas and Kristensson, Gerhard}}, issn = {{0036-1399}}, language = {{eng}}, number = {{1}}, pages = {{170--195}}, publisher = {{Society for Industrial and Applied Mathematics}}, series = {{SIAM Journal on Applied Mathematics}}, title = {{Homogenization of the Maxwell Equations at Fixed Frequency}}, url = {{https://lup.lub.lu.se/search/files/4507289/624989.pdf}}, doi = {{10.1137/S0036139902403366}}, volume = {{64}}, year = {{2003}}, }