The connection between time- and frequency-domain three-dimensional inverse scattering methods

Publisher Website
Google Scholar
Abstract
We relate three-dimensional scattering theory for the time-independent Schrödinger equation without spherical symmetry to scattering theory for the plasma-wave equation (PWE). We review a recent inverse scattering method for the PWE and find the corresponding method for the Schrödinger equation. We then review Newton’s three-dimensional Marchenko method for the Schrödinger equation and transform it to the corresponding PWE method. The resulting time-domain hyperbolic method clarifies the role of causality in Newton’s important recent work.