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A Floquet-Bloch decomposition of Maxwell's equations, applied to homogenization

Sjöberg, Daniel LU ; Engström, Christian LU ; Kristensson, Gerhard LU ; Wall, David J.N. and Wellander, Niklas LU (2003) In Technical Report LUTEDX/(TEAT-7119)/1-27/(2003) TEAT-7119.
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.
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Technical Report LUTEDX/(TEAT-7119)/1-27/(2003)
volume
TEAT-7119
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language
English
LU publication?
yes
id
64778400-7ddb-40fa-b12e-918559efc429 (old id 530371)
date added to LUP
2007-09-12 11:57:15
date last changed
2016-04-16 12:49:06
@misc{64778400-7ddb-40fa-b12e-918559efc429,
  abstract     = {Using Bloch waves to represent the full solution of Maxwell’s equations in<br/><br>
periodic media, we study the limit where the material’s period becomes much<br/><br>
smaller than the wavelength. It is seen that for steady-state fields, only a<br/><br>
few of the Bloch waves contribute to the full solution. Effective material<br/><br>
parameters can be explicitly represented in terms of dyadic products of the<br/><br>
mean values of the non-vanishing Bloch waves, providing a new means of<br/><br>
homogenization. The representation is valid for an arbitrary wave vector in<br/><br>
the first Brillouin zone.},
  author       = {Sjöberg, Daniel and Engström, Christian and Kristensson, Gerhard and Wall, David J.N. and Wellander, Niklas},
  language     = {eng},
  publisher    = {ARRAY(0xb835398)},
  series       = {Technical Report LUTEDX/(TEAT-7119)/1-27/(2003)},
  title        = {A Floquet-Bloch decomposition of Maxwell's equations, applied to homogenization},
  volume       = {TEAT-7119},
  year         = {2003},
}