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20202026
most citedThe Foldy-Lax approximation is valid for nearly resonating frequencies

5 citations · 7 across the 16 of their papers we have counts for

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12 papers · 1 filter

math.AP2026

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…

math.AP2024

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…

math.AP2024

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…

math.AP2024

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…

math.AP2023

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…

math.AP2023★ 1 cited

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…

math.AP2022

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…

math.AP2022

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…

math.AP2022★ 5 cited

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…

math.AP2021

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…

math.AP2020

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…

math.AP2020

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…