7 papers
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 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…
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).…
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…