Resonances and Fields near Metamaterial Inclusions
(2012) IEEE Antennas and Propagation Society International Symposium, 2012- 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:
https://lup.lub.lu.se/record/3459123
- author
- McPhedran, Ross ; Helsing, Johan LU and Milton, Graeme
- organization
- publishing date
- 2012
- type
- Chapter in Book/Report/Conference proceeding
- publication status
- published
- subject
- host publication
- 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
- conference location
- Chicago, Illinois, United States
- conference dates
- 2012-07-08 - 2012-07-14
- 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
- additional info
- The information about affiliations in this record was updated in December 2015. The record was previously connected to the following departments: Numerical Analysis (011015004)
- 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
- 2016-04-01 09:52:37
- date last changed
- 2024-10-06 14:51:11
@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}}, publisher = {{IEEE - Institute of Electrical and Electronics Engineers Inc.}}, title = {{Resonances and Fields near Metamaterial Inclusions}}, url = {{https://lup.lub.lu.se/search/files/1346801/4254526.pdf}}, doi = {{10.1109/APS.2012.6348591}}, year = {{2012}}, }