activity
20152021
most citedMathematical analysis of plasmonic nanoparticles: the scalar case

2 citations · 2 across the 2 of their papers we have counts for

collaborators

6 papers

math-ph2021

Modal approximation for plasmonic resonators in the time domain: the scalar case

Lorenzo Baldassari, Pierre Millien, Alice L. Vanel

We study the electromagnetic field scattered by a metallic nanoparticle with dispersive material parameters in a resonant regime. We consider the particle placed in a homogeneous m…

math.AP2020

Mathematical modelling of plasmonic strain sensors

Habib Ammari, Pierre Millien, Alice L. Vanel

We provide a mathematical analysis for a metasurface constructed of plasmonic nanoparticles mounted periodically on the surface of a microcapsule. We derive an effective transmissi…

math-ph2018

Perturbations of the scattering resonances of an open cavity by small particles. Part II: The transverse electric polarization case

Habib Ammari, Alexander Dabrowksi, Brian Fitzpatrick +1

This paper is concerned with the scattering resonances of open cavities. It is a follow-up of "Perturbation of the scattering resonances of an open cavity by small particles. Part…

math-ph2018

Perturbation of the scattering resonances of an open cavity by small particles. Part I: The transverse magnetic polarization case

Habib Ammari, Alexander Dabrowski, Brian Fitzpatrick +1

This paper aims at providing a small-volume expansion framework for the scattering resonances of an open cavity perturbed by small particles. The induced shift of the scattering fr…

math-ph2018

Shape and size dependence of dipolar plasmonic resonance of nanoparticles

Habib Ammari, Pierre Millien

The aim of this paper is to present a new approach, based on singular volume integral equations, in order to compute the size dependency of plasmonic resonances. The paper also pro…

math.AP20152 cited

Mathematical analysis of plasmonic nanoparticles: the scalar case

Habib Ammari, Pierre Millien, Matias Ruiz +1

Localized surface plasmons are charge density oscillations confined to metallic nanoparticles. Excitation of localized surface plasmons by an electromagnetic field at an incident w…