ANALYSIS OF SURFACE POLARITON RESONANCE FOR NANOPARTICLES IN ELASTIC SYSTEM

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

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Detail(s)

Original languageEnglish
Pages (from-to)1786-1805
Journal / PublicationSIAM Journal on Mathematical Analysis
Volume52
Issue number2
Online published13 Apr 2020
Publication statusPublished - 2020

Link(s)

DOI

DOI
Check@CityULib
Link to Scopus https://www.scopus.com/record/display.uri?eid=2-s2.0-85080857366&origin=recordpage
Permanent Link https://scholars.cityu.edu.hk/en/publications/publication(60a3c766-2383-4e9f-b20b-184844314816).html

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.

Research Area(s)

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

Citation Format(s)

[ RIS ] [ BibTeX ]
ANALYSIS OF SURFACE POLARITON RESONANCE FOR NANOPARTICLES IN ELASTIC SYSTEM. / Deng, Youjun; Li, Hongjie; Liu, Hongyu.
In: SIAM Journal on Mathematical Analysis, Vol. 52, No. 2, 2020, p. 1786-1805.

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