Analysis of surface polariton resonance for nanoparticles in elastic system
Analysis of PDEs
2018-04-17 v1 Mathematical Physics
math.MP
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-Poinc\'are operator associated to the Lam\'e system. By analyzing the spectral properties of the aforesaid Neumann-Poinc\'are operator, we study the polariton resonance for the elastic system. The results may find applications in elastic wave imaging.
Keywords
Cite
@article{arxiv.1804.05480,
title = {Analysis of surface polariton resonance for nanoparticles in elastic system},
author = {Youjun Deng and Hongjie Li and Hongyu Liu},
journal= {arXiv preprint arXiv:1804.05480},
year = {2018}
}
Comments
18 pages, comments are welcome