Roman Novikov (École Polytechnique)

Direct and inverse scattering for point scatterers

Abstract:
To test algorithms for solving direct and inverse scattering problems it is very important to have exactly solvable models. However, unlike the one-dimensional case, it is very difficult to produce such exactly solvable models in the multidimensional case. In this talk, we consider a model of point scatterers, which goes back to the works of Bethe and Peierls (1935), Fermi (1936), Zel'dovich (1960), Berezin and Faddeev (1961), and which is exactly solvable. We present a short review of old and recent results in this domain.
This talk is based, in particular, on joint works with P.G. Grinevich and A.D. Agaltsov.