Mathematical analysis of plasmonic resonances for nanoparticles: the full Maxwell equations

2015/11/21 by Habib Ammari, Matias Ruiz, Ammari, Habib +5 · 2 citations
Engineering · Materials Science · #Analysis of PDEs (math.AP) #FOS: Mathematics #Gold and Silver Nanoparticles Synthesis and Applications #Metamaterials and Metasurfaces Applications #Plasmonic and Surface Plasmon Research

paper · pdf · doi:10.48550/arxiv.1511.06817

openalex publication_date 2015/11/21 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

In this paper we use the full Maxwell equations for light propagation in order to analyze plasmonic resonances for nanoparticles. We mathematically define the notion of plasmonic resonance and analyze its shift and broadening with respect to changes in size, shape, and arrangement of the nanoparticles, using the layer potential techniques associated with the full Maxwell equations. We present an effective medium theory for resonant plasmonic systems and derive a condition on the volume fraction under which the Maxwell-Garnett theory is valid at plasmonic resonances.

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