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A Floquet-Bloch Decomposition of Maxwell's Equations Applied to Homogenization

Publiceringsår: 2005
Språk: Engelska
Sidor: 149-171
Publikation/Tidskrift/Serie: Multiscale Modeling & Simulation
Volym: 4
Nummer: 1
Dokumenttyp: Artikel
Förlag: Society for Industrial and Applied Mathematics


Using Bloch waves to represent the full solution of Maxwell's equations in periodic media, we study the limit where the material's period becomes much smaller than the wavelength. It is seen that for steady state fields, only a few of the Bloch waves contribute to the full solution. Effective material parameters can be explicitly represented in terms of dyadic products of the mean values of the nonvanishing Bloch waves, providing a new means of homogenization. The representation is valid for an arbitrary wave vector in the first Brillouin zone.



  • Technology and Engineering


  • ISSN: 1540-3459

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