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Homogenization of the Maxwell Equations at Fixed Frequency

In English

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 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.

Publiceringsår

2003

Språk

Engelska

Sidor

170-195

Publikation/Tidskrift/Serie

SIAM Journal on Applied Mathematics

Volym

64

Issue

1

Dokumenttyp

Artikel i tidskrift

Förlag

Society for Industrial and Applied Mathematics

Ämne

  • Other Electrical Engineering, Electronic Engineering, Information Engineering
  • Electrical Engineering, Electronic Engineering, Information Engineering

Status

Published

Forskningsgrupp

  • Electromagnetic theory

ISBN/ISSN/Övrigt

  • ISSN: 0036-1399