An integral equation method dealing with surface waves on large finite periodic structures
Sjöberg, Daniel LU
(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:
https://lup.lub.lu.se/record/617211
- author
- Sjöberg, Daniel
LU
- organization
- publishing date
- 2006
- 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
- 0379-6566
- 1609-042X
- 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
- 2024-01-09 00:19:18
@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 = {{0379-6566}},
keywords = {{Floquet-Bloch transformation; Finite periodic structures; Windowing function; Wave vectors}},
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}},
}