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On two numerical methods for homogenization of Maxwell's equations
Lund University, Sweden.
Lund University, Sweden.
2007 (English)In: Journal Electromagnetic Waves and Applications, ISSN 0920-5071, E-ISSN 1569-3937, Vol. 21, no 13, p. 1845-1856Article in journal (Refereed) Published
Abstract [en]

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 coefficients 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. Moreover, we provide numerical bounds on the effective permittivity. The Floquet-Bloch method is shown to be a good alternative to the classical homogenization method, when the contrast is modest.

Place, publisher, year, edition, pages
Taylor & Francis, 2007. Vol. 21, no 13, p. 1845-1856
National Category
Computational Mathematics
Research subject
Mathematics, Mathematics
Identifiers
URN: urn:nbn:se:lnu:diva-81941OAI: oai:DiVA.org:lnu-81941DiVA, id: diva2:1304769
Available from: 2019-04-13 Created: 2019-04-13 Last updated: 2019-05-07Bibliographically approved

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Engström, Christian

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