Mathematical analysis of plasmonic resonances for nanoparticles: The full Maxwell equations
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Date
2016-09-15Type
- Journal Article
Citations
Cited 51 times in
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Cited 51 times in
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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. Show more
Publication status
publishedExternal links
Journal / series
Journal of Differential EquationsVolume
Pages / Article No.
Publisher
ElsevierSubject
Plasmonic resonance; Neumann–Poincaré operator; Nanoparticle; Scattering and absorption enhancements; Maxwell equations; Maxwell-Garnett theoryMore
Show all metadata
Citations
Cited 51 times in
Web of Science
Cited 51 times in
Scopus
ETH Bibliography
yes
Altmetrics