Analysis of the inverse Born series: an approach

TL;DR

This paper investigates the convergence and error bounds of the inverse Born series using geometric function theory, with applications to inverse scattering problems involving diffuse waves.

Contribution

It provides new convergence and error analysis under weaker conditions than prior work, utilizing tools from geometric function theory in Banach spaces.

Findings

Convergence results under weaker assumptions

Error bounds for the inverse Born series

Application to diffuse wave inverse scattering

Abstract

We analyze the convergence and approximation error of the inverse Born series, obtaining results that hold under qualitatively weaker conditions than previously known. Our approach makes use of tools from geometric function theory in Banach spaces. An application to the inverse scattering problem with diffuse waves is described.