Surface Plasmon Resonance of Nanoparticles and Applications in Imaging

By Habib M. Ammari, Youjun Deng, Pierre Millien. Archive for Rational Mechanics and Analysis, 2014

153 citations recorded by the source corpus.

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.

Subfields: Biomedical Engineering, Electronic, Optical and Magnetic Materials

View Paper: https://www.semanticscholar.org/paper/0f5e6035fe97fd05c91477b459fa636c04e608db

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In Biomedical Engineering

1. Hai Zhang
2. Pierre Millien

Citations in the corpus

• Mathematical Analysis of Plasmonic Nanoparticles: The Scalar Case (2015, background): “Plasmon resonances in nanoparticles can be treated at the quasi-static limit as an eigenvalue problem for the Neumann–Poincaré integral operator, which leads to direct calculation of resonance values of permittivity and optimal design of nanoparticles that resonate at specified frequencies [2,6,25,3”