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Reconstructing fine details of small objects by using plasmonic spectroscopic data. Part II: The strong interaction regime
(2017)SAM Research ReportReport -
Field expansions for systems of strongly coupled plasmonic nanoparticle
(2017)SAM Research ReportReport -
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Mathematical and Computational Methods in Photonics and Phononics
(2017)SAM Research ReportReport -
Shape reconstruction of nanoparticles from their associated plasmonic resonances
(2016)Research ReportWe prove by means of a couple of examples that plasmonic resonances can be used on one hand to classify shapes of nanoparticles with real algebraic boundaries and on the other hand to reconstruct the separation distance between two nanoparticles from measurements of their first collective plasmonic resonances. To this end, we explicitly compute the spectral decompositions of the Neumann-Poincar´e operators associated with a class of ...Report -
Shape reconstruction of nanoparticles from their associated plasmonic resonances
(2016)arXivWorking Paper -
Mathematical analysis of plasmonic resonances for nanoparticles: the full Maxwell equations
(2015)SAM Research ReportIn 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 ...Report -
Mathematical analysis of plasmonic nanoparticles: the scalar case
(2015)SAM Research ReportLocalized surface plasmons are charge density oscillations confined to metallic nanoparticles. Excitation of localized surface plasmons by an electromagnetic field at an incident wavelength where resonance occurs results in a strong light scattering and an enhancement of the local electromagnetic fields. This paper is devoted to the mathematical modeling of plasmonic nanoparticles. Its aim is threefold: (i) to mathematically define the ...Report