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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)
- Society for Industrial & Applied Mathematics (SIAM), 2005
- 2005
- Engelska.
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Ingår i: Multiscale Modeling & Simulation. - : Society for Industrial & Applied Mathematics (SIAM). - 1540-3459 .- 1540-3467. ; 4:3, s. 760-789
- Relaterad länk:
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http://dx.doi.org/10...
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https://doi.org/10.1...
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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-self-adjoint 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)
Nyckelord
- Maxwell's equations
- singular value decomposition
- homogenization
- Bloch waves
- dispersive media
Publikations- och innehållstyp
- art (ämneskategori)
- ref (ämneskategori)
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