Use of step response in inverse scattering

Nonlinear diffraction tomography: The use of inverse scattering for imaging

Our recent inverse scattering work has been to derive inverse scattering theory and algorithms that can be used to process practical experimental data. The theory makes use of computation of the forward scattering solution. Therefore, an eecient forward solver is instrumental to the rapid solution of the inverse scattering problem. The advantage of the more sophisticated theory over a linear th...

Inverse Scattering

This paper investigates the ability to determine the boundary of an unknown object scattering waves using three different scenarios. In the first, we assume all far-field data is known from the scattering of a single incident wave. In the second, we assume that there are several nodes that emit waves and receive information back about the scattered wave. In the third, there is only one node whi...

Scattering, Inverse Scattering and Resonances in R

The use of inverse quadratic radial basis functions for the solution of an inverse heat problem

‎In this paper‎, ‎a numerical procedure for an inverse problem of‎ ‎simultaneously determining an unknown coefficient in a semilinear ‎parabolic equation subject to the specification of the solution at‎ ‎an internal point along with the usual initial boundary conditions ‎is considered‎. ‎The method consists of expanding the required‎ ‎approximate solution as the elements of the inverse quadrati...

Inverse scattering problem for the Impulsive Schrodinger equation with a polynomial spectral dependence in the potential

In the present work, under some di¤erentiability conditions on the potential functions , we …rst reduce the inverse scattering problem (ISP) for the polynomial pencil of the Scroedinger equation to the corresponding ISP for the generalized matrix Scrödinger equation . Then ISP will be solved in analogy of the Marchenko method. We aim to establish an e¤ective algorithm for uniquely reconstructin...