Convergence and Stability of the Inverse Scattering Series for Diffuse Waves

TL;DR

This paper analyzes the convergence, stability, and approximation errors of the inverse scattering series for diffuse waves in random media, enhancing understanding for optical tomography image reconstruction.

Contribution

It provides a detailed characterization of the convergence and stability properties of the inverse scattering series in diffuse wave imaging.

Findings

The inverse scattering series converges under certain conditions.

Stability bounds are established for the series.

Approximation errors are quantified in the analysis.

Abstract

We analyze the inverse scattering series for diffuse waves in random media. In previous work the inverse series was used to develop fast, direct image reconstruction algorithms in optical tomography. Here we characterize the convergence, stability and approximation error of the series