Advanced

Homogenization of the Maxwell equations at fixed frequency

Wellander, Niklas LU and Kristensson, Gerhard LU (2002) In Technical Report LUTEDX/(TEAT-7103)/1-38/(2002) TEAT-7103.
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... (More)
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. (Less)
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Book/Report
publication status
published
subject
in
Technical Report LUTEDX/(TEAT-7103)/1-38/(2002)
volume
TEAT-7103
pages
38 pages
publisher
[Publisher information missing]
language
English
LU publication?
yes
id
e0542a22-e29d-4560-9c8a-a75f2943b87b (old id 525954)
date added to LUP
2007-09-12 12:34:44
date last changed
2016-07-06 17:17:28
@techreport{e0542a22-e29d-4560-9c8a-a75f2943b87b,
  abstract     = {The homogenization of the Maxwell equations at fixed frequency is addressed<br/><br>
in this paper. The bulk (homogenized) electric and magnetic properties of<br/><br>
a material with a periodic microstructure are found from the solution of a<br/><br>
local problem on the unit cell by suitable averages. The material can be<br/><br>
anisotropic, and satisfies a coercivity condition. The exciting field is generated<br/><br>
by an incident field from sources outside the material under investigation. A<br/><br>
suitable sesquilinear form is defined for the interior problem, and the exterior<br/><br>
Calder´on operator is used to solve the exterior radiating fields. The concept<br/><br>
of two-scale convergence is employed to solve the homogenization problem. A<br/><br>
new a priori estimate is proved as well as a new result on the correctors.},
  author       = {Wellander, Niklas and Kristensson, Gerhard},
  institution  = {[Publisher information missing]},
  language     = {eng},
  pages        = {38},
  series       = {Technical Report LUTEDX/(TEAT-7103)/1-38/(2002)},
  title        = {Homogenization of the Maxwell equations at fixed frequency},
  volume       = {TEAT-7103},
  year         = {2002},
}