Document Type

Journal Article

Abstract

This paper is concerned with the theoretical study of plasmonic resonances for linear elasticity governed by the Lam´e system in R3, and their application for cloaking due to anomalous localized resonances. We derive a very general and novel class of elastic structures that can induce plasmonic resonances. It is shown that if either one of the two convexity conditions on the Lam´e parameters is broken, then we can construct certain plasmon structures that induce resonances. This significantly extends the relevant existing studies in the literature where the violation of both convexity conditions is required. Indeed, the existing plasmonic structures are a particular case of the general structures constructed in our study. Furthermore, we consider the plasmonic resonances within the finite frequency regime, and rigorously verify the quasi-static approximation for diametrically small plasmonic inclusions. Finally, as an application of the newly found structures, we construct a plasmonic device of the core-shell- matrix form that can induce cloaking due to anomalous localized resonance in the quasi-static regime, which also includes the existing study as a special case.

Keywords

anomalous localized resonance, plasmonic material, negative elastic materials, asymptotic and spectral analysis

Publication Date

12-2018

Source Publication Title

Journal de Mathématiques Pures et Appliquées

Volume

120

Start Page

195

End Page

219

Publisher

Elsevier

DOI

10.1016/j.matpur.2018.06.014

Link to Publisher's Edition

https://doi.org/10.1016/j.matpur.2018.06.014

ISSN (print)

00217824

ISSN (electronic)

17763371

Available for download on Friday, January 01, 2021

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