Analysis of the inverse Born series: an approach
Analysis of PDEs
2022-01-14 v1 Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.2201.04689,
title = {Analysis of the inverse Born series: an approach},
author = {Jeremy G Hoskins and John C Schotland},
journal= {arXiv preprint arXiv:2201.04689},
year = {2022}
}