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Surface Plasmon Resonance of Nanoparticles and Applications in Imaging

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Abstract

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.

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Authors and Affiliations

  1. Department of Mathematics and Applications, Ecole Normale Supérieure, 45 Rue d’Ulm, 75005, Paris, France

    Habib Ammari, Youjun Deng & Pierre Millien

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  1. Habib Ammari
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  2. Youjun Deng
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  3. Pierre Millien
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Correspondence to Habib Ammari.

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Communicated by W. E

This work was supported by the ERC Advanced Grant Project MULTIMOD-267184.

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Ammari, H., Deng, Y. & Millien, P. Surface Plasmon Resonance of Nanoparticles and Applications in Imaging. Arch Rational Mech Anal 220, 109–153 (2016). https://doi.org/10.1007/s00205-015-0928-0

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