Surface Localization of Plasmons in Three Dimensions and Convexity

DOI10.1137/20M1373530zbMath1466.45010arXiv2007.16157OpenAlexW3170020006MaRDI QIDQ4990951

Hyeonbae Kang, Kazunori Ando, Takashi Nakazawa, Yoshihisa Miyanishi

Publication date: 2 June 2021

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.16157

zbMATH Keywords

convexityspectrumNeumann-Poincaré operatorplasmoncloaking by anomalous localized resonancesurface localization

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Integral operators (45P05)

Related Items (7)

Modal approximation for plasmonic resonators in the time domain: the scalar case ⋮ Spectral Structure of the Neumann--Poincaré Operator on Thin Ellipsoids and Flat Domains ⋮ The discrete spectrum of the Neumann-Poincaré operator in 3D elasticity ⋮ Quantum ergodicity and localization of plasmon resonances ⋮ Modal decompositions and point scatterer approximations near the Minnaert resonance frequencies ⋮ Super-localisation of a point-like emitter in a resonant environment: correction of the mirage effect ⋮ Spectral geometry and analysis of the Neumann-Poincaré operator, a review

Uses Software

• LAPACK
• FreeFem++

Cites Work

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• LAPACK Users' Guide
• New development in freefem++
• Cloaking Due to Anomalous Localized Resonance in Plasmonic Structures of Confocal Ellipses
• Eigenvalues of the Neumann–Poincaré operator in dimension 3: Weyl’s law and geometry
• A concavity condition for existence of a negative value in Neumann-Poincaré spectrum in three dimensions
• The plasmonic eigenvalue problem

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