Mathematics > Analysis of PDEs
[Submitted on 16 Apr 2018]
Title:Analysis of surface polariton resonance for nanoparticles in elastic system
View PDFAbstract: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-Poincáre operator associated to the Lamé system. By analyzing the spectral properties of the aforesaid Neumann-Poincáre operator, we study the polariton resonance for the elastic system. The results may find applications in elastic wave imaging.
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