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

被引：16

作者：

Ammari, Habib ^{[1
]}

Ruiz, Matias ^{[2
]}

Wu, Wei ^{[1
]}

Yu, Sanghyeon ^{[1
]}

Zhang, Hai ^{[3
]}

机构：

[1] Swiss Fed Inst Technol, Dept Math, Ramistr 101, CH-8092 Zurich, Switzerland

[2] Ecole Normale Super, Dept Math & Applicat, 45 Rue Ulm, F-75005 Paris, France

[3] HKUST, Dept Math, Kowloon, Hong Kong, Peoples R China

来源：

PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES | 2016年 / 472卷 / 2193期

关键词：

plasmonic resonance; Neumann-Poincare operator; array of nanoparticles; periodic Green function; metasurfaces; VARIATIONAL PROBLEM; RESONANCE; SPECTRUM; SHAPE;

D O I：

10.1098/rspa.2016.0445

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

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-Poincare type operator, we investigate the dependency of the impedance with respect to changes in the nanoparticle geometry and configuration.

引用

页数：14

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