Homogenization of the Maxwell equations at fixed frequency
(2002) In Technical Report LUTEDX/(TEAT-7103)/1-38/(2002)- 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:
https://lup.lub.lu.se/record/525954
- author
- Wellander, Niklas LU and Kristensson, Gerhard LU
- organization
- publishing date
- 2002
- type
- Book/Report
- publication status
- published
- subject
- in
- Technical Report LUTEDX/(TEAT-7103)/1-38/(2002)
- pages
- 38 pages
- publisher
- [Publisher information missing]
- report number
- TEAT-7103
- language
- English
- LU publication?
- yes
- additional info
- Published version: SIAM J. Appl. Math., 64(1), 170-195, 2003, doi:10.1137/S0036139902403366
- id
- e0542a22-e29d-4560-9c8a-a75f2943b87b (old id 525954)
- date added to LUP
- 2016-04-04 14:33:09
- date last changed
- 2018-11-21 21:20:57
@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}},
number = {{TEAT-7103}},
series = {{Technical Report LUTEDX/(TEAT-7103)/1-38/(2002)}},
title = {{Homogenization of the Maxwell equations at fixed frequency}},
url = {{https://lup.lub.lu.se/search/files/6386543/623548.pdf}},
year = {{2002}},
}