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An integral equation method dealing with surface waves on large finite periodic structures

Sjöberg, Daniel LU orcid (2006) European Conference on Antennas and Propagation: EuCAP 2006 626 SP.
Abstract
We present a method for studying large finite periodic structures using software 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... (More)
We present a method for studying large finite periodic structures using software 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:
author
organization
publishing date
type
Chapter in Book/Report/Conference proceeding
publication status
published
subject
keywords
Floquet-Bloch transformation, Finite periodic structures, Windowing function, Wave vectors
host publication
European Space Agency, (Special Publication) ESA SP
volume
626 SP
pages
6 pages
publisher
European Space Agency
conference name
European Conference on Antennas and Propagation: EuCAP 2006
conference location
Nice, France
conference dates
2006-11-06 - 2006-11-10
external identifiers
  • scopus:33847391090
ISSN
1609-042X
0379-6566
language
English
LU publication?
yes
id
3233b799-d8b2-4376-879b-a64a16a4abd4 (old id 617211)
alternative location
http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=4584544
date added to LUP
2016-04-01 12:32:50
date last changed
2021-02-17 07:52:11
@inproceedings{3233b799-d8b2-4376-879b-a64a16a4abd4,
  abstract     = {We present a method for studying large finite periodic structures using software 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.},
  author       = {Sjöberg, Daniel},
  booktitle    = {European Space Agency, (Special Publication) ESA SP},
  issn         = {1609-042X},
  language     = {eng},
  publisher    = {European Space Agency},
  title        = {An integral equation method dealing with surface waves on large finite periodic structures},
  url          = {http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=4584544},
  volume       = {626 SP},
  year         = {2006},
}