On the identification of defects in a periodic waveguide from far field data

Laurent Bourgeois (1) , Sonia Fliss (1)

1 POEMS - Propagation des Ondes : Étude Mathématique et Simulation

The aim of this paper is to apply the Linear Sampling Method and the Factorization Method to retrieve some defects in a known periodic 2D waveguide from scattering data. More precisely, some far field approximations of these two sampling methods are derived. They amount to consider the so-called propagating Floquet modes as incident waves. The efficiency of the far field formulation of the LSM is shown with the help of some numerical experiments.

Domaines: Equations aux dérivées partielles [math.AP]

Laurent Bourgeois, Sonia Fliss. On the identification of defects in a periodic waveguide from far field data. Inverse Problems, 2014, 30 (9), ⟨10.1088/0266-5611/30/9/095004⟩. ⟨hal-00914674v2⟩