Eliminating the DC instability of the time domain electric field integral equation
- Author
- Yves Beghein (UGent) , Kristof Cools and Francesco P Andriulli
- Organization
- 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.
- Keywords
- SCATTERING, ARBITRARY SHAPE, STABILITY, SURFACES, time domain, electric field integral equation, DC instability
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Citation
Please use this url to cite or link to this publication: http://hdl.handle.net/1854/LU-7260741
- MLA
- Beghein, Yves, et al. “Eliminating the DC Instability of the Time Domain Electric Field Integral Equation.” 2015 9th European Conference on Antennas and Propagation (EuCAP), 2015.
- 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, Lisbon, Portugal.
- Chicago author-date
- 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).
- Chicago author-date (all authors)
- 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).
- Vancouver
- 1.Beghein Y, Cools K, Andriulli FP. Eliminating the DC instability of the time domain electric field integral equation. In: 2015 9th European Conference on Antennas and Propagation (EuCAP). 2015.
- IEEE
- [1]Y. Beghein, K. Cools, and F. P. Andriulli, “Eliminating the DC instability of the time domain electric field integral equation,” in 2015 9th European Conference on Antennas and Propagation (EuCAP), Lisbon, Portugal, 2015.
@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}},
keywords = {{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}},
}