Abstract
In this paper we demonstrate the surface plasmon resonance of nanoparticles in a two-dimensional elastic system. We use the layer potential technique related to the elastic equations and make an asymptotic expansion of the disturbed elastic wave field about the size of nanoparticles. The principal term in the asymptotic expansion mentioned earlier is related to the Neumann-Poincáre operator in the elastic system. Finally, the surface plasmon resonance is investigated by the spectral properties of the Neumann-Poincáre operator.
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