activity
20202026
most citedAn Introduction To The Mathematics Of The Imaging Modalities Using Small Scaled Contrast Agents

1 citations · 1 across the 9 of their papers we have counts for

collaborators

14 papers

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.NA2025

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…

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.SP2024

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…

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…