Mathematical and numerical framework for metasurfaces using thin layers of periodically distributed plasmonic nanoparticles

Habib Ammari, Matias Ruiz, Wei Wu, Sanghyeon Yu, Hai Zhang

Research output: Contribution to journalArticlepeer-review

15 Citations (Scopus)

Abstract

In this paper, we derive an impedance boundary condition to approximate the optical scattering effect of an array of plasmonic nanoparticles mounted on a perfectly conducting plate. We show that at some resonant frequencies the impedance blows up, allowing for a significant reduction of the scattering from the plate. Using the spectral properties of a Neumann-Poincaré type operator, we investigate the dependency of the impedance with respect to changes in the nanoparticle geometry and configuration.

Original languageEnglish
Article number20160445
JournalProceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
Volume472
Issue number2193
DOIs
Publication statusPublished - 2016 Sept 1
Externally publishedYes

Bibliographical note

Publisher Copyright:
© 2016 The Author(s) Published by the Royal Society.

Keywords

  • Array of nanoparticles
  • Metasurfaces
  • Neumann-Poincaré operator
  • Periodic Green function
  • Plasmonic resonance

ASJC Scopus subject areas

  • General Mathematics
  • General Engineering
  • General Physics and Astronomy

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