Homogenization of the Maxwell Equations at Fixed Frequency
Author
Summary, in English
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.
Publishing year
2003
Language
English
Pages
170-195
Publication/Series
SIAM Journal on Applied Mathematics
Volume
64
Issue
1
Full text
- Available as PDF - 479 kB
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Document type
Journal article
Publisher
Society for Industrial and Applied Mathematics
Topic
- Other Electrical Engineering, Electronic Engineering, Information Engineering
- Electrical Engineering, Electronic Engineering, Information Engineering
Status
Published
Research group
- Electromagnetic theory
ISBN/ISSN/Other
- ISSN: 0036-1399