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

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

17 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

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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10.1098/rspa.2016.0445

Cite this

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title = "Mathematical and numerical framework for metasurfaces using thin layers of periodically distributed plasmonic nanoparticles",

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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author = "Habib Ammari and Matias Ruiz and Wei Wu and Sanghyeon Yu and Hai Zhang",

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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

N2 - 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.

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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DO - 10.1098/rspa.2016.0445

M3 - Article

AN - SCOPUS:84988837543

SN - 1364-5021

VL - 472

JO - Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences

JF - Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences

IS - 2193

M1 - 20160445

ER -

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

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

Access to Document

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