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Eliminating the DC instability of the time domain electric field integral equation

Yves Beghein, Kristof Cools and Francesco P Andriulli (2015) 2015 9th European Conference on Antennas and Propagation (EuCAP).
abstract
Transient scattering of electromagnetic fields by perfect conductors is described by the time domain electric field integral equation (TD-EFIE). Discretizing this equation using a space-time Galerkin method results in a system of equations that can be solved by the marching on in time (MOT) algorithm. Unfortunately, the solution is plagued by spurious static currents (DC instability). In this contribution, a spatial Galerkin discretization is first applied to the TD-EFIE. Then, the discrete loop and star components of both basis and testing functions are separated using projection operators (thus avoiding the construction of a loop-star basis). The loop and star components are then rescaled with respect to each other by differentiating or integrating one of these components. This has the effect of removing the possibility for a DC signal to pollute the solution. A temporal Galerkin method then leads to a system that can be solved by the marching-on-in-time algorithm.
Please use this url to cite or link to this publication:
author
organization
year
type
conference (proceedingsPaper)
publication status
published
subject
keyword
SCATTERING, ARBITRARY SHAPE, STABILITY, SURFACES, time domain, electric field integral equation, DC instability
in
2015 9th European Conference on Antennas and Propagation (EuCAP)
pages
5 pages
conference name
9th European Conference on Antennas and Propagation EuCAP
conference location
Lisbon, Portugal
conference start
2015-04-12
conference end
2015-04-17
Web of Science type
Proceedings Paper
Web of Science id
000380533100157
ISBN
978-88-907018-5-6
language
English
UGent publication?
yes
classification
P1
copyright statement
I have transferred the copyright for this publication to the publisher
id
7260741
handle
http://hdl.handle.net/1854/LU-7260741
date created
2016-06-17 15:13:00
date last changed
2016-12-19 15:37:57
@inproceedings{7260741,
  abstract     = {Transient scattering of electromagnetic fields by perfect conductors is described by the time domain electric field integral equation (TD-EFIE). Discretizing this equation using a space-time Galerkin method results in a system of equations that can be solved by the marching on in time (MOT) algorithm. Unfortunately, the solution is plagued by spurious static currents (DC instability). In this contribution, a spatial Galerkin discretization is first applied to the TD-EFIE. Then, the discrete loop and star components of both basis and testing functions are separated using projection operators (thus avoiding the construction of a loop-star basis). The loop and star components are then rescaled with respect to each other by differentiating or integrating one of these components. This has the effect of removing the possibility for a DC signal to pollute the solution. A temporal Galerkin method then leads to a system that can be solved by the marching-on-in-time algorithm.},
  author       = {Beghein, Yves and Cools, Kristof and Andriulli, Francesco P},
  booktitle    = {2015 9th European Conference on Antennas and Propagation (EuCAP)},
  isbn         = {978-88-907018-5-6},
  keyword      = {SCATTERING,ARBITRARY SHAPE,STABILITY,SURFACES,time domain,electric field integral equation,DC instability},
  language     = {eng},
  location     = {Lisbon, Portugal},
  pages        = {5},
  title        = {Eliminating the DC instability of the time domain electric field integral equation},
  year         = {2015},
}

Chicago
Beghein, Yves, Kristof Cools, and Francesco P Andriulli. 2015. “Eliminating the DC Instability of the Time Domain Electric Field Integral Equation.” In 2015 9th European Conference on Antennas and Propagation (EuCAP).
APA
Beghein, Y., Cools, K., & Andriulli, F. P. (2015). Eliminating the DC instability of the time domain electric field integral equation. 2015 9th European Conference on Antennas and Propagation (EuCAP). Presented at the 9th European Conference on Antennas and Propagation EuCAP.
Vancouver
1.
Beghein Y, Cools K, Andriulli FP. Eliminating the DC instability of the time domain electric field integral equation. 2015 9th European Conference on Antennas and Propagation (EuCAP). 2015.
MLA
Beghein, Yves, Kristof Cools, and Francesco P Andriulli. “Eliminating the DC Instability of the Time Domain Electric Field Integral Equation.” 2015 9th European Conference on Antennas and Propagation (EuCAP). 2015. Print.