Surface Plasmon Resonance of Nanoparticles and Applications in Imaging

被引:115
作者
Ammari, Habib [1 ]
Deng, Youjun [1 ]
Millien, Pierre [1 ]
机构
[1] Ecole Normale Super, Dept Math & Applicat, 45 Rue Ulm, F-75005 Paris, France
关键词
ELECTROMAGNETIC SCATTERING; VARIATIONAL PROBLEM; GOLD NANOPARTICLES; SHAPE; SIZE;
D O I
10.1007/s00205-015-0928-0
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper we provide a mathematical framework for localized plasmon resonance of nanoparticles. Using layer potential techniques associated with the full Maxwell equations, we derive small-volume expansions for the electromagnetic fields, which are uniformly valid with respect to the nanoparticle's bulk electron relaxation rate. Then, we discuss the scattering and absorption enhancements by plasmon resonant nanoparticles. We study both the cases of a single and multiple nanoparticles. We present numerical simulations of the localized surface plasmonic resonances associated to multiple particles in terms of their separation distance.
引用
收藏
页码:109 / 153
页数:45
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