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Calderon multiplicative preconditioner for the PMCHWT equation applied to chiral media

Yves Beghein UGent, Kristof Cools UGent, Francesco P Andriulli, Daniël De Zutter UGent and Eric Michielssen (2011) IEEE Antennas and Propagation Society International Symposium. p.3192-3195
abstract
In this contribution, a Calderon preconditioned algorithm for the modeling of scattering of time harmonic electromagnetic waves by a chiral body is introduced. The construction of the PMCHWT in the presence of chiral media is revisited. Since this equation reduces to the classic PMCHWT equation when the chirality parameter tends to zero, it shares its spectral properties. More in particular, it suffers from dense grid breakdown. Based on the work in [1], [2], a regularized version of the PMCHWT equation is introduced. A discretization scheme is described. Finally, the validity and spectral properties are studied numerically. More in particular, it is proven that linear systems arising in the novel scheme can be solved in a small number of iterations, regardless the mesh parameter.
Please use this url to cite or link to this publication:
author
organization
year
type
conference
publication status
published
subject
in
IEEE Antennas and Propagation Society International Symposium
issue title
2011 IEEE International Symposium on Antennas and Propagation (APSURSI)
pages
3192 - 3195
publisher
IEEE
place of publication
New York, NY, USA
conference name
IEEE International Symposium on Antennas and Propagation (APSURSI)/USNC/URSI National Radio Science Meeting
conference location
Spokane, WA, USA
conference start
2011-07-03
conference end
2011-07-08
Web of Science type
Proceedings Paper
Web of Science id
000297298503125
ISSN
1522-3965
ISBN
9781424495610
language
English
UGent publication?
yes
classification
P1
copyright statement
I have transferred the copyright for this publication to the publisher
id
2029032
handle
http://hdl.handle.net/1854/LU-2029032
date created
2012-02-14 08:22:47
date last changed
2012-03-22 14:43:44
@inproceedings{2029032,
  abstract     = {In this contribution, a Calderon preconditioned algorithm for the modeling of scattering of time harmonic electromagnetic waves by a chiral body is introduced. The construction of the PMCHWT in the presence of chiral media is revisited. Since this equation reduces to the classic PMCHWT equation when the chirality parameter tends to zero, it shares its spectral properties. More in particular, it suffers from dense grid breakdown. Based on the work in [1], [2], a regularized version of the PMCHWT equation is introduced. A discretization scheme is described. Finally, the validity and spectral properties are studied numerically. More in particular, it is proven that linear systems arising in the novel scheme can be solved in a small number of iterations, regardless the mesh parameter.},
  author       = {Beghein, Yves and Cools, Kristof and Andriulli, Francesco P and De Zutter, Dani{\"e}l and Michielssen, Eric},
  booktitle    = {IEEE Antennas and Propagation Society International Symposium},
  isbn         = {9781424495610},
  issn         = {1522-3965},
  language     = {eng},
  location     = {Spokane, WA, USA},
  pages        = {3192--3195},
  publisher    = {IEEE},
  title        = {Calderon multiplicative preconditioner for the PMCHWT equation applied to chiral media},
  year         = {2011},
}

Chicago
Beghein, Yves, Kristof Cools, Francesco P Andriulli, Daniël De Zutter, and Eric Michielssen. 2011. “Calderon Multiplicative Preconditioner for the PMCHWT Equation Applied to Chiral Media.” In IEEE Antennas and Propagation Society International Symposium, 3192–3195. New York, NY, USA: IEEE.
APA
Beghein, Y., Cools, K., Andriulli, F. P., De Zutter, D., & Michielssen, E. (2011). Calderon multiplicative preconditioner for the PMCHWT equation applied to chiral media. IEEE Antennas and Propagation Society International Symposium (pp. 3192–3195). Presented at the IEEE International Symposium on Antennas and Propagation (APSURSI)/USNC/URSI National Radio Science Meeting, New York, NY, USA: IEEE.
Vancouver
1.
Beghein Y, Cools K, Andriulli FP, De Zutter D, Michielssen E. Calderon multiplicative preconditioner for the PMCHWT equation applied to chiral media. IEEE Antennas and Propagation Society International Symposium. New York, NY, USA: IEEE; 2011. p. 3192–5.
MLA
Beghein, Yves, Kristof Cools, Francesco P Andriulli, et al. “Calderon Multiplicative Preconditioner for the PMCHWT Equation Applied to Chiral Media.” IEEE Antennas and Propagation Society International Symposium. New York, NY, USA: IEEE, 2011. 3192–3195. Print.