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

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

Open Access

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

Author(s) -

Habib Ammari,

Matias Ruiz,

Wei Wu,

Sanghyeon Yu,

Hai Zhang

Publication year - 2016

Publication title -

proceedings of the royal society a mathematical physical and engineering sciences

Language(s) - English

Resource type - Journals

eISSN - 1471-2946

pISSN - 1364-5021

DOI - 10.1098/rspa.2016.0445

Subject(s) - plasmon , plasmonic nanoparticles , scattering , electrical impedance , nanoparticle , boundary value problem , materials science , neumann boundary condition , boundary (topology) , operator (biology) , optics , reduction (mathematics) , optoelectronics , physics , geometry , mathematical analysis , nanotechnology , mathematics , chemistry , quantum mechanics , biochemistry , repressor , transcription factor , gene

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.

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