The Time-Dependent Approach to Inverse Scattering

TL;DR

This paper introduces a time-dependent approach to inverse scattering problems, emphasizing methods that align with the physical intuition of scattering phenomena and applicable to both linear and nonlinear cases.

Contribution

It presents a recent development of time-dependent methods for inverse scattering, offering a physically intuitive framework for solving diverse scattering problems.

Findings

Applicable to linear and nonlinear scattering problems

Developed recently, aligning with physical intuition

Provides a unified approach to inverse scattering

Abstract

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.