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Erschienen in:
2003 | OriginalPaper | Buchkapitel
The Scattering Amplitude for the Schrödinger Operator in a Layer
verfasst von : Michel Cristofol, Patricia Gaitan
Erschienen in: Mathematical and Numerical Aspects of Wave Propagation WAVES 2003
Verlag: Springer Berlin Heidelberg
Enthalten in: Professional Book Archive
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The scattering amplitude is a wellknown way to solve some inverse scattering problem. In the litterature we actually find the definition of the scattering amplitude in the whole homogeneous perturbed space [6], [4] or half space [2]. For a stratified space, this definition is more complicated [3]. The situation in the layer, not yet studied, introduces also difficulties. In this paper we are looking for a definition of the scattering amplitude in the layer. Such wave guides can modelize problems of wave propagation in geophysic, underwater acoustic and so on.