Mathematical Analysis of Plasmonic Nanoparticles: The Scalar Case
By Habib M. Ammari, Pierre Millien, Matias Ruiz, Hai Zhang. Archive for Rational Mechanics and Analysis, 2015
139 citations recorded by the source corpus.
Localized 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 fourfold: (1) to mathematically define the notion of plasmonic resonance and to analyze the shift and broadening of the plasmon resonance with changes in size and shape of the nanoparticles; (2) to study the scattering and absorption enhancements by plasmon resonant nanoparticles and express them in terms of the polarization tensor of the nanoparticle; (3) to derive optimal bounds on the enhancement factors; (4) to show, by analyzing the imaginary part of the Green function, that one can achieve super-resolution and super-focusing using plasmonic nanoparticles. For simplicity, the Helmholtz equation is used to model electromagnetic wave propagation.
Subfields: Biomedical Engineering, Electronic, Optical and Magnetic Materials
View Paper: https://www.semanticscholar.org/paper/cc4f8ceb141c49b1d9ff44fc7bd79a616b58c10f
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In Biomedical Engineering
In Electronic, Optical and Magnetic Materials
Citations in the corpus
- Surface Plasmon Resonance of Nanoparticles and Applications in Imaging (2014, unknown): “densities, it can be seen that the electric field inside the particle is enhanced as well and therefore, the absorbed energy, given by ε′′ R D |E|2(y)dy, is enhanced at dielectric plasmonic resonances [13]. Note that the scattering enhancement when the particles are illuminated at their plasmonic res”
- Minnaert resonances for acoustic waves in bubbly media (2016, background): “We show that there is a correspondence between bubbles in water and plasmonic nanoparticles in that both raise similar fundamental questions [3].”
- Light Scattering by a Dielectric Sphere: Perspectives on the Mie Resonances (2018, background): “, electromagnetic radiation, is a widely studied canonical problem encountered in both applied and theoretical sciences, such as material and optical physics [1–5], chemistry [6,7], nanotechnology [5,8], radio/antenna engineering [9,10], and applied mathematics [11].”