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Fast finite element time domain - Floquet modal absorbing boundary condition modelling of periodic structures using recursive convolution
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Cai, Yong and Mias, Christos (2007) Fast finite element time domain - Floquet modal absorbing boundary condition modelling of periodic structures using recursive convolution. IEEE Transactions on Antennas and Propagation, Vol.55 (No.9). pp. 2550-2558. doi:10.1109/TAP.2007.904106 ISSN 0018-926X.
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Official URL: http://dx.doi.org/10.1109/TAP.2007.904106
Abstract
Finite element time domain (FETD) codes using a Floquet modal absorbing boundary condition to model scattering from periodic structures require the computation of time consuming convolution integrals. In this paper, we propose, for the first time, to reduce this computational burden using recursive convolution. Recursive convolution is based on the ability to accurately approximate functions, over the entire computation time, using a summation of exponential functions. A novel approach, based on the exponential curve fitting facility of the commercially available software MATLAB, is employed. The time efficiency of the developed FETD code based on recursive convolution is demonstrated by comparing its computational speed with that of an FETD code employing standard convolution when modelling plane wave scattering from two-dimensional singly-periodic structures.
Item Type: | Journal Article | ||||
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Subjects: | T Technology > TK Electrical engineering. Electronics Nuclear engineering | ||||
Divisions: | Faculty of Science, Engineering and Medicine > Engineering > Engineering | ||||
Journal or Publication Title: | IEEE Transactions on Antennas and Propagation | ||||
Publisher: | IEEE | ||||
ISSN: | 0018-926X | ||||
Official Date: | September 2007 | ||||
Dates: |
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Volume: | Vol.55 | ||||
Number: | No.9 | ||||
Number of Pages: | 9 | ||||
Page Range: | pp. 2550-2558 | ||||
DOI: | 10.1109/TAP.2007.904106 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access |
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