Homogenization of the Maxwell equations at fixed frequency
Författare
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
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.
Publiceringsår
2002
Språk
Engelska
Publikation/Tidskrift/Serie
Technical Report LUTEDX/(TEAT-7103)/1-38/(2002)
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Dokumenttyp
Rapport
Förlag
[Publisher information missing]
Ämne
- Electrical Engineering, Electronic Engineering, Information Engineering
Status
Published
Report number
TEAT-7103
Forskningsgrupp
- Electromagnetic theory