Analysis of surface polariton resonance for nanoparticles in elastic system

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-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.

18 pages, comments are welcome