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

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

doi:10.1098/rspa.2016.0445

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 journal › Article › peer-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 language	English
Article number	20160445
Journal	Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
Volume	472
Issue number	2193
DOIs	https://doi.org/10.1098/rspa.2016.0445
Publication status	Published - 2016 Sept 1
Externally published	Yes

Keywords

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

ASJC Scopus subject areas

Mathematics(all)
Engineering(all)
Physics and Astronomy(all)

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10.1098/rspa.2016.0445

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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-Poincar{\'e} type operator, we investigate the dependency of the impedance with respect to changes in the nanoparticle geometry and configuration.",

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AU - Ammari, Habib

AU - Ruiz, Matias

AU - Wu, Wei

AU - Yu, Sanghyeon

AU - Zhang, Hai

PY - 2016/9/1

Y1 - 2016/9/1

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AB - 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.

KW - Array of nanoparticles

KW - Metasurfaces

KW - Neumann-Poincaré operator

KW - Periodic Green function

KW - Plasmonic resonance

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

Abstract

Keywords

ASJC Scopus subject areas

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