Scattering and inverse scattering on ACH manifolds

Radiation Fields, Scattering and Inverse Scattering on Asymptotically Hyperbolic Manifolds

We define the forward and backward radiation fields on an asymptotically hyperbolic manifold and show that they give unitary translation representations of the wave group, and as such can be used to define a scattering matrix. We show that this scattering matrix is equivalent to the one defined by stationary methods. Furthermore, we prove a support theorem for the radiation fields which general...

Inverse Scattering on Asymptotically Hyperbolic Manifolds

Scattering is deened on compact manifolds with boundary which are equipped with an asymptotically hyperbolic metric, g: A model form is established for such metrics close to the boundary. It is shown that the scattering matrix at energy exists and is a pseudo-diierential operator of order 2 + 1 ? dim X: The symbol of the scattering matrix is then used to show that except for a discrete set of e...

Forward and Inverse Scattering on Manifolds with Asymptotically Cylindrical Ends

We study an inverse problem for a non-compact Riemannian manifold whose ends have the following properties : On each end, the Riemannian metric is assumed to be a short-range perturbation of the metric of the form (dy) + h(x, dx), h(x, dx) being the metric of some compact manifold of codimension 1. Moreover one end is exactly cylindrical, i.e. the metric is equal to (dy) +h(x, dx). Given two su...

Scattering : Scattering and Inverse Scattering in Pure and Applied

This series of two volumes brings the concept of scattering in widely different fields – all the way from Nuclear Physics, Atmospheric Sciences to Chemical Physics – into a unified framework. Most of the topics were classified according to the physical scales of the scattering process. This two volume series easily qualifies as the encyclopedia of scattering. There are six parts in this two vol...

Scattering, Inverse Scattering and Resonances in R