A comparison of two numerical methods for homogenization of Maxwell's equations
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Summary, in English
When the wavelength is much larger than the typical scale of the microstructure
in a material, it is possible to define effective or homogenized material
coefficients. The classical way of determination of the homogenized coeffi-
cients consists of solving an elliptic problem in a unit cell. This method and
the Floquet-Bloch method, where an eigenvalue problem is solved, are numerically
compared with respect to accuracy and contrast sensitivity. The
Floquet-Bloch method is shown to be a good alternative to the classical homogenization
method, when the contrast is modest.
in a material, it is possible to define effective or homogenized material
coefficients. The classical way of determination of the homogenized coeffi-
cients consists of solving an elliptic problem in a unit cell. This method and
the Floquet-Bloch method, where an eigenvalue problem is solved, are numerically
compared with respect to accuracy and contrast sensitivity. The
Floquet-Bloch method is shown to be a good alternative to the classical homogenization
method, when the contrast is modest.
Publishing year
2004
Language
English
Publication/Series
Technical Report LUTEDX/(TEAT-7121)/1-10/(2004)
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Document type
Report
Publisher
Electromagnetic Theory Department of Electrical and Information Technology Lund University Sweden
Topic
- Electrical Engineering, Electronic Engineering, Information Engineering
Status
Published
Report number
TEAT-7121