The Scattering Amplitude for the Shrödinger Operator in a Layer

Michel Cristofol (1, 2, 3, 4) , Patricia Gaitan (5)

1 I2M - Institut de Mathématiques de Marseille
2 AMU - Aix Marseille Université
3 CNRS - Centre National de la Recherche Scientifique
4 ECM - École Centrale de Marseille
5 LATP - Laboratoire d'Analyse, Topologie, Probabilités

For a layer with compactly supported inhomogeneity we give an appropriate definition of the scattering amplitude. Then we recover the relation between the far field pattern and the scattering amplitude.

Mots clés: Scattering Amplitude; Layer; Schrödinger

Domaines: Equations aux dérivées partielles [math.AP]

Michel Cristofol, Patricia Gaitan. The Scattering Amplitude for the Shrödinger Operator in a Layer. 2003. ⟨hal-00128231⟩