128 citations · 132 across the 15 of their papers we have counts for
17 papers
Non-singular hotspots between closely spaced high-index nanoparticles
Konstantinos Alexopoulos, Bryn Davies, Pierre Millien
We study the concentration of the field between two nearly touching high-index dielectric resonators in three dimensions. The model is a scalar Helmholtz transmission problem in th…
Probing the speckle to estimate the effective speed of sound, a first step towards quantitative ultrasound imaging
Josselin Garnier, Laure Giovangigli, Quentin Goepfert +1
In this paper, we present a mathematical model and analysis for a new experimental method [Bureau and al., arXiv:2409.13901, 2024] for effective sound velocity estimation in medica…
Super-localisation of a point-like emitter in a resonant environment : correction of the mirage effect
Lorenzo Baldassari, Alice L. Vanel, Pierre Millien
In this paper, we show that it is possible to overcome one of the fundamental limitations of super-resolution microscopy techniques: the necessity to be in an \emph{optically homog…
Stability for finite element discretization of some elliptic inverse parameter problems from internal data -- application to elastography
Elie Bretin, Pierre Millien, Laurent Seppecher
In this article, we provide stability estimates for the finite element discretization of a class of inverse parameter problems of the form $-\nabla\cdot(μS) = \g f$ in a domain …
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…
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…
Modal approximation for strictly convex plasmonic resonators in the time domain: the Maxwell's equations
Habib Ammari, Pierre Millien, Alice L. Vanel
We study the possible expansion of the electromagnetic field scattered by a strictly convex metallic nanoparticle with dispersive material parameters placed in a homogeneous medium…
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…
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…
A direct linear inversion for discontinuous elastic parameters recovery from internal displacement information only
Habib Ammari, Elie Bretin, Pierre Millien +1
The aim of this paper is to present and analyze a new direct method for solving the linear elasticity inverse problem. Given measurements of some displacement fields inside a mediu…
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…
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…
A mathematical and numerical framework for magnetoacoustic tomography with magnetic induction
Habib Ammari, Simon Boulier, Pierre Millien
We provide a mathematical analysis and a numerical framework for magnetoacoustic tomography with magnetic induction. The imaging problem is to reconstruct the conductivity distribu…
Surface Plasmon Resonance of Nanoparticles and Applications in Imaging
Habib Ammari, Youjun Deng, Pierre Millien
In this paper we provide a mathematical framework for localized plasmon resonance of nanoparticles. Using layer potential techniques associated with the full Maxwell equations, we…
Mathematical modeling in full-field optical coherence elastography
Habib Ammari, Elie Bretin, Pierre Millien +2
We provide a mathematical analysis of and a numerical framework for full-field optical coherence elastography, which has unique features including micron-scale resolution, real-tim…
A mathematical and numerical framework for ultrasonically-induced Lorentz force electrical impedance tomography
Habib Ammari, Pol Grasland-Mongrain, Pierre Millien +2
We provide a mathematical analysis and a numerical framework for Lorentz force electrical conductivity imaging. Ultrasonic vibration of a tissue in the presence of a static magneti…
Backpropagation Imaging in Nonlinear Harmonic Holography in the Presence of Measurement and Medium Noises
Habib Ammari, Josselin Garnier, Pierre Millien
In this paper, the detection of a small reflector in a randomly heterogenous medium using second-harmonic generation is investigated. The medium is illuminated by a time-harmonic p…