On two numerical methods for homogenization of Maxwell's equations

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 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.

• Författare: Christian Engström; Daniel Sjöberg
• Avdelning/ar: Institutionen för elektro- och informationsteknik
• Publiceringsår: 2007
• Språk: Engelska
• Sidor: 1845-1856
• Publikation/Tidskrift/Serie: Journal Electromagnetic Waves and Applications
• Volym: 21
• Issue: 13
• Länkar: http://dx.doi.org/10.1163/156939307781891076
• Dokumenttyp: Artikel i tidskrift
• Förlag: VSP BV
• Ämne: Electrical Engineering, Electronic Engineering, Information Engineering
• Status: Published
• Forskningsgrupp: Electromagnetic theory
• ISBN/ISSN/Övrigt: ISSN: 1569-3937