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Homogenization of the Maxwell equations at fixed frequency

Publiceringsår: 2002
Språk: Engelska
Publikation/Tidskrift/Serie: Technical Report LUTEDX/(TEAT-7103)/1-38/(2002)
Volym: TEAT-7103
Dokumenttyp: Rapport
Förlag: [Publisher information missing]


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.


  • Electrical Engineering, Electronic Engineering, Information Engineering


  • Electromagnetic theory-lup-obsolete

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