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Resonances and Fields near Metamaterial Inclusions

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Author

Summary, in English

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.

Department/s

Publishing year

2012

Language

English

Publication/Series

Antennas and Propagation Society International Symposium (APSURSI), 2012 IEEE

Document type

Conference paper

Publisher

IEEE - Institute of Electrical and Electronics Engineers Inc.

Topic

  • Mathematics

Conference name

IEEE Antennas and Propagation Society International Symposium, 2012

Conference date

2012-07-08 - 2012-07-14

Conference place

Chicago, Illinois, United States

Status

Published

Research group

  • Harmonic Analysis and Applications
  • Harmonic Analysis and Applications

ISBN/ISSN/Other

  • ISSN: 1522-3965
  • ISSN: 1947-1491
  • ISBN: 978-1-4673-0462-7