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Theory of plasmonic metasurfaces

by H. Ammari and M. Ruiz and W. Wu and S. Yu and H. Zhang

(Report number 2016-12)

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.

Keywords: plasmonic resonance, Neumann-Poincaré operator, array of nanoparticles, periodic Green function, metasurfaces

@Techreport{ARWYZ16_649,
  author = {H. Ammari and M. Ruiz and W. Wu and S. Yu and H. Zhang},
  title = {Theory of plasmonic metasurfaces},
  institution = {Seminar for Applied Mathematics, ETH Z{\"u}rich},
  number = {2016-12},
  address = {Switzerland},
  url = {https://www.sam.math.ethz.ch/sam_reports/reports_final/reports2016/2016-12.pdf },
  year = {2016}
}

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