Reconstruction of the interface between two layered media using far field measurements

Lahcène Chorfi (1) , Patricia Gaitan (2)

1 LMA - Laboratoire de Mathématiques d'Annaba
2 LATP - Laboratoire d'Analyse, Topologie, Probabilités

We consider an inverse transmission scattering problem. This problem consists in determining an interface between two-layered media by far-field measurements. We prove that the interface is uniquely determined by the measurements of the far field pattern associated to incoming plane waves at a fixed frequency. For the reconstruction of the interface we solve a non linear integral equation using a truncated Newton-CG algorithm.

Domaines: Equations aux dérivées partielles [math.AP]

Lahcène Chorfi, Patricia Gaitan. Reconstruction of the interface between two layered media using far field measurements. Inverse Problems, 2011, 27 (7). ⟨hal-00516765⟩