Obstacle and boundary determination from scattering data

Gen Nakamura (1) , Mourad Sini (2)

1 Department of Mathematics
2 RICAM

In this paper, we are concerned with the identification of complex obstacles from the scattering data for the acoustic problem. The complex obstacle is characterized by its shape and the boundary values of the impedance coefficient. We establish point-wise formulas which can be used to reconstruct the shape of the obstacle and give explicitly the values of the surface impedance as a function of the far field. In addition, these formulas enable us to distinguish and recognize the coated and the non-coated parts of the obstacle.

Domaines: Variables complexes [math.CV]; Equations aux dérivées partielles [math.AP]

Gen Nakamura, Mourad Sini. Obstacle and boundary determination from scattering data. 2007. ⟨hal-00136017⟩