Scattering and inverse scattering for the AKNS system: A rational function approach

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...

The Time - Dependent Approach to Inverse Scattering ∗

In these lectures I give an introduction to the time-dependent approach to inverse scattering, that has been developed recently. The aim of this approach is to solve various inverse scattering problems with time-dependent methods that closely follow the physical (and geometrical) intuition of the scattering phenomena. This method has been applied to many linear and nonlinear scattering problems...

Scattering : Scattering and Inverse Scattering in Pure and Applied

This series of two volumes brings the concept of scattering in widely different fields – all the way from Nuclear Physics, Atmospheric Sciences to Chemical Physics – into a unified framework. Most of the topics were classified according to the physical scales of the scattering process. This two volume series easily qualifies as the encyclopedia of scattering. There are six parts in this two vol...

Scattering, Inverse Scattering and Resonances in R

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...