Direct and Inverse Acoustic Scattering by a Collection of Extended and Point-Like Scatterers

@article{Hu2014DirectAI,
  title={Direct and Inverse Acoustic Scattering by a Collection of Extended and Point-Like Scatterers},
  author={Guanghui Hu and Andrea Mantile and Mourad Sini},
  journal={Multiscale Model. Simul.},
  year={2014},
  volume={12},
  pages={996-1027}
}
This paper concerns the acoustic scattering by an extended obstacle surrounded by point-like obstacles. The extended obstacle is supposed to be rigid, while the point-like obstacles are modeled by point perturbations of the exterior Laplacian. In the first part, we consider the forward problem. Following two equivalent approaches (the Foldy formal method and the Krein resolvent method), we show that the scattered field is a sum of two contributions: one is due to the diffusion by the extended… 

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