Spectral Properties of Neumann-Poincaré Operator and Anomalous Localized Resonance in Elasticity Beyond Quasi-Static Limit

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journal

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Original languageEnglish
Pages (from-to)213–242
Journal / PublicationJournal of Elasticity
Issue number2
Online published27 Feb 2020
Publication statusPublished - Aug 2020


This paper is concerned with the polariton resonances and their application for cloaking due to anomalous localized resonance (CALR) for the elastic system within finite frequency regime beyond the quasi-static approximation. We first derive the complete spectral system of the Neumann-Poincaré operator associated with the elastic system in R3 within the finite frequency regime. Based on the obtained spectral results, we construct a broad class of elastic configurations that can induce polariton resonances beyond the quasi-static limit. As an application, the invisibility cloaking effect is achieved through constructing a class of core-shell-matrix metamaterial structures provided the source is located inside a critical radius. Moreover, if the source is located outside the critical radius, it is proved that there is no resonance.

Research Area(s)

  • Anomalous localized resonance, Negative elastic materials, Core-shell structure, Beyond quasistatic limit, Neumann-Poincaré operator, Spectral, PLASMON RESONANCE, CLOAKING, NANOPARTICLES, APPROXIMATION, SYSTEMS