The nonlinear inverse scattering problem of estimating the locations and scattering strengths or reflectivities of a number of small, point-like inhomogeneities (targets) to a known background medium from single-snapshot active wave sensor array data is investigated in connection with time-reversal multiple signal classification and an alternative signal subspace method which is based on search...

A nonlinear reconstruction scheme based on the Distorted Born Iterative Method (DBIM) is presented to solve two-dimensional inverse scattering problems with metallic scatterers. Half-quadratic regularization alleviates the inherently ill-posed problem of nonlinear inverse scattering while simultaneously preserving edges. Reconstruction results are found by minimizing a cost function. A bistatic...

We present a theoretical study of linear wave scattering in one-dimensional nonlinear lattices by intrinsic spatially localized dynamic excitations or discrete breathers. These states appear in various nonlinear systems and present a time-periodic localized scattering potential for plane waves. We consider the case of elastic one-channel scattering, when the frequencies of incoming and transmit...