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

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

Research output: Contribution to journalArticlepeer-review

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
Number of pages14
JournalProceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
Volume472
Issue number2193
Early online date1 Sep 2016
DOIs
Publication statusPublished - 30 Sep 2016

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