Spectrum of Neumann--Poincaré Operator on Annuli and Cloaking by Anomalous Localized Resonance for Linear Elasticity

DOI10.1137/17M1114089zbMath1377.35086OpenAlexW2765597866MaRDI QIDQ4592866

Hyeonbae Kang, Sanghyeon Yu, Kyoungsun Kim, Kazunori Ando

Publication date: 9 November 2017

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/17m1114089

zbMATH Keywords

linear elasticityspectrumLamé systemNeumann-Poincaré operator

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Second-order elliptic systems (35J47)

Related Items (6)

On novel elastic structures inducing polariton resonances with finite frequencies and cloaking due to anomalous localized resonances ⋮ Modal approximation for time-domain elastic scattering from metamaterial quasiparticles ⋮ Localization and geometrization in plasmon resonances and geometric structures of Neumann-Poincaré eigenfunctions ⋮ Spectral properties of Neumann-Poincaré operator and anomalous localized resonance in elasticity beyond quasi-static limit ⋮ Recent progress on the mathematical study of anomalous localized resonance in elasticity ⋮ On anomalous localized resonance and plasmonic cloaking beyond the quasi-static limit

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• Spectral properties of the Neumann–Poincaré operator and cloaking by anomalous localized resonance for the elasto-static system
• A proof of superlensing in the quasistatic regime, and limitations of superlenses in this regime due to anomalous localized resonance

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