Roman Novikov (École Polytechnique)

Direct and inverse scattering for point scatterers

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.