SIAM Journal on Mathematical Analysis, Volume 52, Issue 2, Page 1786-1805, January 2020.
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--Poincaré operator associated to the Lamé system. By analyzing the spectral properties of the aforesaid Neumann--Poincaré operator, we study the polariton resonance for the elastic system. The results may find applications in elastic wave imaging.

中文翻译：

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弹性体系中纳米粒子的表面极化共振分析

SIAM数学分析杂志，第52卷，第2期，第1786-1805页，2020年1月。
本文涉及线性弹性中纳米粒子的表面极化子共振分析。在存在纳米粒子的情况下，我们首先导出与给定弹性源场关联的扰动位移场。结果表明，扰动弹性波场的超前项由与Lamé系统相关的Neumann-Poincaré算子确定。通过分析上述Neumann-Poincaré算子的光谱特性，我们研究了弹性系统的极化子共振。该结果可在弹性波成像中找到应用。