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
Calder´on 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.
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
Calder´on 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.
| Original language | English |
|---|---|
| Publisher | [Publisher information missing] |
| Number of pages | 38 |
| Volume | TEAT-7103 |
| Publication status | Published - 2002 |
Publication series
| Name | Technical Report LUTEDX/(TEAT-7103)/1-38/(2002) |
|---|---|
| Volume | TEAT-7103 |
Bibliographical note
Published version: SIAM J. Appl. Math., 64(1), 170-195, 2003, doi:10.1137/S0036139902403366Subject classification (UKÄ)
- Electrical Engineering, Electronic Engineering, Information Engineering