Analysis of surface polariton resonance for nanoparticles in elastic system

Youjun Deng, Hongjie Li, Hongyu LIU

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)

Abstract

This paper is concerned with the analysis of surface polariton resonance for nanoparticles in linear elasticity. With the presence of nanoparticles, we first derive the perturbed displacement field associated to a given elastic source field. It is shown that the leading-order term of the perturbed elastic wave field is determined by the Neumann-Poincar\'e operator associated to the Lam\'e system. By analyzing the spectral properties of the aforesaid Neumann-Poincar\'e operator, we study the polariton resonance for the elastic system. The results may find applications in elastic wave imaging.

Original languageEnglish
Pages (from-to)1786-1805
Number of pages20
JournalSIAM Journal on Mathematical Analysis
Volume52
Issue number2
DOIs
Publication statusPublished - 2020

Scopus Subject Areas

  • Analysis
  • Computational Mathematics
  • Applied Mathematics

User-Defined Keywords

  • Asymptotic and spectral analysis
  • Elastic scattering
  • Negative materials
  • Surface polariton resonance

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