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Analysis of large finite periodic structures using infinite periodicity methods

Sjöberg, Daniel LU (2006) In Technical Report LUTEDX/(TEAT-7143)/1-22/(2006) TEAT-7143.
Abstract
We present a method for studying large finite periodic structures using soft-

ware developed for infinite periodic structures. The method is based on the

Floquet-Bloch transformation, which splits the spatial description into one

microscopic spatial variable inside the unit cell, and one macroscopic wave

vector describing the variations on a scale encompassing many unit cells. The

resulting algorithm is iterative, and solves an infinite periodic problem in each

step, where the sources have been filtered through a windowing function. The

computational cost for the iterations is negligible compared to computing the

impedance matrices for the infinite periodic problems,... (More)
We present a method for studying large finite periodic structures using soft-

ware developed for infinite periodic structures. The method is based on the

Floquet-Bloch transformation, which splits the spatial description into one

microscopic spatial variable inside the unit cell, and one macroscopic wave

vector describing the variations on a scale encompassing many unit cells. The

resulting algorithm is iterative, and solves an infinite periodic problem in each

step, where the sources have been filtered through a windowing function. The

computational cost for the iterations is negligible compared to computing the

impedance matrices for the infinite periodic problems, and it is shown that

the algorithm converges if the periodic structure is large enough. (Less)
Please use this url to cite or link to this publication:
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organization
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Book/Report
publication status
published
subject
in
Technical Report LUTEDX/(TEAT-7143)/1-22/(2006)
volume
TEAT-7143
pages
22 pages
publisher
[Publisher information missing]
language
English
LU publication?
yes
id
0b4ae3a2-140d-4fe2-bbdf-e7d3e4820a29 (old id 638018)
date added to LUP
2007-12-12 12:30:55
date last changed
2016-04-16 12:35:16
@techreport{0b4ae3a2-140d-4fe2-bbdf-e7d3e4820a29,
  abstract     = {We present a method for studying large finite periodic structures using soft-<br/><br>
ware developed for infinite periodic structures. The method is based on the<br/><br>
Floquet-Bloch transformation, which splits the spatial description into one<br/><br>
microscopic spatial variable inside the unit cell, and one macroscopic wave<br/><br>
vector describing the variations on a scale encompassing many unit cells. The<br/><br>
resulting algorithm is iterative, and solves an infinite periodic problem in each<br/><br>
step, where the sources have been filtered through a windowing function. The<br/><br>
computational cost for the iterations is negligible compared to computing the<br/><br>
impedance matrices for the infinite periodic problems, and it is shown that<br/><br>
the algorithm converges if the periodic structure is large enough.},
  author       = {Sjöberg, Daniel},
  institution  = {[Publisher information missing]},
  language     = {eng},
  pages        = {22},
  series       = {Technical Report LUTEDX/(TEAT-7143)/1-22/(2006)},
  title        = {Analysis of large finite periodic structures using infinite periodicity methods},
  volume       = {TEAT-7143},
  year         = {2006},
}