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Homogenization of d...
Homogenization of dispersive material parameters for Maxwell's equations using a singular value decomposition
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- Sjöberg, Daniel (författare)
- Lund University,Lunds universitet,Institutionen för elektro- och informationsteknik,Institutioner vid LTH,Lunds Tekniska Högskola,Department of Electrical and Information Technology,Departments at LTH,Faculty of Engineering, LTH
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(creator_code:org_t)
- 2004
- Engelska 24 s.
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Serie: Technical Report LUTEDX/(TEAT-7124)/1-24/(2004) ; TEAT-7124
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Abstract
Ämnesord
Stäng
- We find effective, or homogenized, material parameters for Maxwell’s equations when the microscopic scale becomes small compared to the scale induced by the frequencies of the imposed currents. After defining a singular value decomposition of the non-selfadjoint partial differential operator, we expand the electromagnetic field in the modes corresponding to the singular values, and show that only the smallest singular values make a significant contribution to the total field when the scale is small. The homogenized material parameters can be represented with the mean values of the singular vectors through a simple formula, which is valid for wavelengths not necessarily infinitely large compared to the unit cell.
Ämnesord
- TEKNIK OCH TEKNOLOGIER -- Elektroteknik och elektronik (hsv//swe)
- ENGINEERING AND TECHNOLOGY -- Electrical Engineering, Electronic Engineering, Information Engineering (hsv//eng)
Publikations- och innehållstyp
- rap (ämneskategori)
- vet (ämneskategori)