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Resonances and Fields near Metamaterial Inclusions

McPhedran, Ross; Helsing, Johan LU and Milton, Graeme (2012) IEEE Antennas and Propagation Society International Symposium, 2012 In Antennas and Propagation Society International Symposium (APSURSI), 2012 IEEE
Abstract
We consider systems of particles in two dimensions with negative dielectric permittivity and sharp corners. The field divergences near the corners of the inclusions are non-square-integrable for negative permittivities in a range depending on the corner angle, and the leading term for small distances is provided by the static term. We have developed a highly accurate numerical method which uses adaptive techniques to resolve field behaviour near the corners. We use this to elucidate the resonant spectrum associated with the effective permittivity of arrays of such particles, and in particular its behaviour as the particles approach touching.
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Chapter in Book/Report/Conference proceeding
publication status
published
subject
in
Antennas and Propagation Society International Symposium (APSURSI), 2012 IEEE
pages
2 pages
publisher
IEEE--Institute of Electrical and Electronics Engineers Inc.
conference name
IEEE Antennas and Propagation Society International Symposium, 2012
external identifiers
  • scopus:84870534316
ISSN
1947-1491
1522-3965
ISBN
978-1-4673-0462-7
DOI
10.1109/APS.2012.6348591
language
English
LU publication?
yes
id
2e3e08fd-b9e3-43c1-b7ef-354cf3e49354 (old id 3459123)
alternative location
http://www.maths.lth.se/na/staff/helsing/APSURSI12.pdf
date added to LUP
2013-09-23 12:46:15
date last changed
2017-03-15 09:39:34
@inproceedings{2e3e08fd-b9e3-43c1-b7ef-354cf3e49354,
  abstract     = {We consider systems of particles in two dimensions with negative dielectric permittivity and sharp corners. The field divergences near the corners of the inclusions are non-square-integrable for negative permittivities in a range depending on the corner angle, and the leading term for small distances is provided by the static term. We have developed a highly accurate numerical method which uses adaptive techniques to resolve field behaviour near the corners. We use this to elucidate the resonant spectrum associated with the effective permittivity of arrays of such particles, and in particular its behaviour as the particles approach touching.},
  author       = {McPhedran, Ross and Helsing, Johan and Milton, Graeme},
  booktitle    = {Antennas and Propagation Society International Symposium (APSURSI), 2012 IEEE},
  isbn         = {978-1-4673-0462-7},
  issn         = {1947-1491},
  language     = {eng},
  pages        = {2},
  publisher    = {IEEE--Institute of Electrical and Electronics Engineers Inc.},
  title        = {Resonances and Fields near Metamaterial Inclusions},
  url          = {http://dx.doi.org/10.1109/APS.2012.6348591},
  year         = {2012},
}