Non-iterative Imaging including Multiple Scattering

This research program is aimed at deriving and elucidating non-iterative approaches to the nonlinear inverse scattering problem including multiple scattering. They are applicable to certain classes of scatterers which go beyond the class of Born-approximable scatterers (they form a broader class). Two variants of the problem are of interest: 1) The support inversion or shape reconstruction problem, whose goal is to estimate the spatial support of a scatterer from knowledge of the scattering matrix as measured by a given remote sensing aperture, which will generally have limited views; and 2) the full reconstruction of the material properties or scattering potential (object function) (inverse medium problem). This problem may borrow from the solution of the support inversion problem, and, thus, in certain applications one can first obtain an estimate of the object support, and later carry out within that a priori support the respective nonlinear inversion yielding the material constitution or scattering potential.