\Ve consider the direct and inverse scattering for the n-dimensional Schrodinger equation, n 2: 2, with a potential having no spherical symmetry. Sufficient conditions are given for the existence of a Wiener-Hopf factorization of the corresponding scattering operator. This factorization leads to the solution of a related Riemann-Hilbert problem, which plays a key role in inverse scattering.

In this thesis, the Zakharov-Shabat scattering problem and several types of Landau-Lifschitz scattering problems are considered. The inverse scattering problem is that of seeking one or more coefficients in a system of differential equation from the scattering data which, generally, consists of a reflection coefficient and bound state data. We assume mainly that the coefficients to be determine...

An application of the method of approximate inverse to a two-dimensional inverse scattering problem is discussed. The determination of the refractive index from an inverse scattering experiment is a nonlinear inverse problem. In this paper we treat the 2D scalar case. We propose to split this nonlinear problem into an ill-posed linear problem and a (well-posed) nonlinear part by rst solving the...

An application of the method of approximate inverse to a two-dimensional inverse scattering problem is discussed. The determination of the refractive index from an inverse scattering experiment is a nonlinear inverse problem. In this paper we treat the 2D scalar case. We propose to split this nonlinear problem into an ill-posed linear problem and a (well-posed) nonlinear part by rst solving the...

An inverse scattering problem of time-harmonic chiral electromagnetic waves for a buried partially coated object was studied. The embedded in piecewise isotropic homogeneous background material. On the boundary object, total field satisfied perfect conductor and impedance conditions. A modified linear sampling method, which originated from reciprocity gap functional, employed reconstruction sha...