• DOI:10.1088/0266-5611/28/12/125006
• Corpus ID: 123147746

Inverse scattering by point-like scatterers in the Foldy regime

@article{Challa2012InverseSB,
  title={Inverse scattering by point-like scatterers in the Foldy regime},
  author={Durga Prasad Challa and Mourad Sini},
  journal={Inverse Problems},
  year={2012},
  volume={28}
}

• D. P. Challa, M. Sini
• Published 1 December 2012
• Mathematics
• Inverse Problems

The scattering by point-like scatterers is described in the Born, Foldy and the intermediate regimes. We explain why the Foldy regime is, rigorously, a natural model for taking into account the multiple scattering. For each regime, we study the inverse problems for detecting these scatterers as well as the scattering strengths. In the first part, we do it for the acoustic case, and in the second, we study the corresponding models for the linearized isotropic elastic case. In this last case, we show how any of the two body waves, namely pressure waves P or shear waves S, is enough to solve the inverse problem. In the 3D case, it is shown that the shear horizontal part (SH) or the shear vertical part (SV) of the shear waves S is also enough for the detection. Finally, we provide extensive numerical tests justifying our findings and discuss the question of resolution in terms of the distance between the scatterers, the used frequency and the scattering strengths. In addition, a comparison study between the three mentioned regimes is also provided.