On anomalous localized resonance for the elastostatic system

Hongjie Li, Hongyu LIU

Research output: Contribution to journalArticlepeer-review

10 Citations (Scopus)

Abstract

We consider the anomalous localized resonance due to a plasmonic structure for the elastostatic system in ℝ2. The plasmonic structure takes a general core-shell-matrix form with the metamaterial located in the shell. If there is no core, we show that resonance occurs for a very broad class of sources. If the core is nonempty and of an arbitrary shape, we show that there exists a critical radius such that resonance occurs for a certain class of sources lying within the critical radius, whereas resonance does not occur for a certain class of sources lying outside the critical radius. Our argument is based on a variational technique by making use of the primal and dual variational principles for the elastostatic system, along with the construction of suitable test functions.

Original languageEnglish
Pages (from-to)3322-3344
Number of pages23
JournalSIAM Journal on Mathematical Analysis
Volume48
Issue number5
DOIs
Publication statusPublished - 2016

Scopus Subject Areas

  • Analysis
  • Computational Mathematics
  • Applied Mathematics

User-Defined Keywords

  • Anomalous localized resonance
  • Elastostatics
  • Plasmonic material

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