48 citations · 263 across the 66 of their papers we have counts for
5 papers · 1 filter
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…
Stable determination of a rigid scatterer in elastodynamics
Luca Rondi, Eva Sincich, Mourad SIni
We deal with an inverse elastic scattering problem for the shape determination of a rigid scatterer in the time-harmonic regime. We prove a local stability estimate of log log type…
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…