5 citations · 7 across the 16 of their papers we have counts for
16 papers
Electromagnetic Scattering by a Cluster of Hybrid Dielectric-Plasmonic Dimers
Xinlin Cao, Ahcene Ghandriche, Mourad Sini
We consider time-harmonic electromagnetic scattering by a cluster of hybrid dielectric-plasmonic dimers in . Each dimer consists of a high-contrast dielectric nanopar…
On the detection of medium inhomogeneity by contrast agent: wave scattering models and numerical implementations
Zhe Wang, Ahcene Ghandriche, Jijun Liu
We consider the wave scattering and inverse scattering in an inhomogeneous medium embedded a homogeneous droplet with a small size, which is modeled by a constant mass density and…
Electromagnetic waves generated by a hybrid dielectric-plasmonic dimer
Xinlin Cao, Ahcene Ghandriche, Mourad Sini
We know that the electric field generated by a plasmonic nano-particle (with negative permittivity) is given as a polarization of the incident electric field. Similarly, the electr…
Characterization of the Eigenvalues and Eigenfunctions of the Helmholtz Newtonian operator N^k
Zhe Wang, Ahcene Ghandriche, Jijun Liu
The Newtonian potential operator for the Helmholtz equation, which is represented by the volume integral with fundamental solution as kernel function, is of great importance for di…
Optical Inversion Using Plasmonic Contrast Agents
Xinlin Cao, Ahcene Ghandriche, Mourad Sini
We describe a new method to reconstruct the permittivity distribution, of an object to image, from the remotely measured electromagnetic field. We propose to use the remote fields…
Effective medium theory for Van-Der-Waals heterostructures
Xinlin Cao, Ahcene Ghandriche, Mourad Sini
We derive the electromagnetic medium equivalent to a collection of all-dielectric nano-particles (enjoying high refractive indices) distributed locally non-periodically in a smooth…
From all-dieletric nanoresonators to extended quasi-static plasmonic resonators
Xinlin Cao, Ahcene Ghandriche, Mourad Sini
We derive the electromagnetic medium equivalent to a cluster of all-dielectric nanoparticles (i.e. enjoying high refractive indices), distributed periodically in a smooth domain $Ω…
Estimation of the eigenvalues and the integral of eigenfunctions of the Newtonian potential operator
Abdulaziz Alsenafi, Ahcene Ghandriche, Mourad Sini
We consider the problem of estimating the eigenvalues and the integral of the corresponding eigenfunctions, associated to the Newtonian potential operator, defined in a bounded dom…
The Calderon Problem Revisited: Reconstruction With Resonant Perturbations
Ahcene Ghandriche, Mourad Sini
The original Calderón problem consists in recovering the potential (or the conductivity) from the knowledge of the related Neumann to Dirichlet map (or Dirichlet to Neumann map). H…
Simultaneous Reconstruction of Optical and Acoustical Properties in Photo-Acoustic Imaging using plasmonics
Ahcene Ghandriche, Mourad Sini
We propose an approach for the simultaneous reconstruction of the electromagnetic and acoustic material parameters, in the given medium where to image, using the photo-acoustic…
The Electromagnetic Waves Generated by Dielectric Nanoparticles
Xinlin Cao, Ahcene Ghandriche, Mourad Sini
We estimate the electromagnetic fields generated by a cluster of dielectric nanoparticles embedded into a background made of a vacuum. The dielectric nanoparticles are small scaled…
The Foldy-Lax approximation is valid for nearly resonating frequencies
Abdulaziz Alsenafi, Ahcene Ghandriche, Mourad Sini
The waves (including acoustic, electromagnetic and elastic ones) propagating in the presence of a cluster of inhomogeneities undergo multiple interactions between them. When these…
Photo-acoustic inversion using plasmonic contrast agents: The full Maxwell model
Ahcene Ghandriche, Mourad Sini
We analyze the inversion of the photo-acoustic imaging modality using electromagnetic plasmonic nano-particles as contrast agents. We prove that the generated pressure, before and…
An Introduction To The Mathematics Of The Imaging Modalities Using Small Scaled Contrast Agents
Ahcene Ghandriche, Mourad Sini
In the recent years, we witness a great interest in imaging, in a wide sense, using contrast agents. One of the reasons is that many imaging modalities, as the ones related to medi…
Mathematical analysis of the acoustic imaging modality using bubbles as contrast agents at nearly resonating frequencies
Alexander Dabrowski, Ahcene Ghandriche, Mourad Sini
We analyze mathematically the acoustic imaging modality using bubbles as contrast agents. These bubbles are modeled by mass densities and bulk moduli enjoying contrasting scales. T…
Mathematical Analysis of the Photo-acoustic imaging modality using resonating dielectric nanoparticles: The 2D TM-model
Ahcene Ghandriche, Mourad Sini
We deal with the photoacoustic imaging modality using dielectric nanoparticles as contrast agents. Exciting the heterogeneous tissue, localized in a bounded domain , with an ele…