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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 Effective Permittivity and Permeability Generated by a Cluster of Moderately Contrasting Nanoparticles
Xinlin Cao, Mourad Sini
In a bounded and -smooth domain , , we distribute a cluster of nanoparticles enjoying moderately contrasting relative permittivity and permeability w…
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…
Analysis of the acoustic waves reflected by a cluster of small holes in the time-domain and the equivalent mass density
Mourad Sini, Haibing Wang, Qingyun Yao
We study the time-domain acoustic scattering problem by a cluster of small holes (i.e. sound-soft obstacles). Based on the retarded boundary integral equation method, we derive the…