# The linear sampling method in a waveguide: A modal formulation

```@article{Bourgeois2008TheLS,
title={The linear sampling method in a waveguide: A modal formulation},
author={Laurent Bourgeois and E. Lun{\'e}ville},
journal={Inverse Problems},
year={2008},
volume={24},
pages={015018}
}```
• Published 16 January 2008
• Mathematics
• Inverse Problems
This paper concerns the linear sampling method used to retrieve obstacles in a 2D or 3D acoustic waveguide. The classical mathematical results concerning the identifiability of the obstacle and the justification of the inverse method are established for this particular geometry. Our main concern is to derive a modal formulation of the linear sampling method that is well adapted to the waveguide configuration. In particular, thanks to such formulation, we highlight the fact that finding some…

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