Abstract
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 non-vanishing Bloch waves, providing a new means of
homogenization. The representation is valid for an arbitrary wave vector in
the first Brillouin zone.
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 non-vanishing Bloch waves, providing a new means of
homogenization. The representation is valid for an arbitrary wave vector in
the first Brillouin zone.
Original language | English |
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Publisher | Department of Electroscience, Lund University |
Volume | TEAT-7119 |
Publication status | Published - 2003 |
Publication series
Name | Technical Report LUTEDX/(TEAT-7119)/1-27/(2003) |
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Volume | TEAT-7119 |
Bibliographical note
Published version: Multiscale Modeling & Simulation, Vol. 4, No. 1, pp. 149-171, 2005.Subject classification (UKÄ)
- Electrical Engineering, Electronic Engineering, Information Engineering