On the Convergence of the Born Series in Optical Tomography with Diffuse Light

TL;DR

This paper establishes a straightforward criterion based on amplitude for the convergence of the Born series in optical diffusion tomography, simplifying the analysis regardless of inhomogeneity shape or size.

Contribution

It introduces a simple sufficient condition for Born series convergence that depends solely on the inhomogeneity's amplitude.

Findings

Convergence criterion is independent of inhomogeneity shape.

The condition depends only on the amplitude of the inhomogeneity.

Provides a practical tool for analyzing optical tomography problems.

Abstract

We provide a simple sufficient condition for convergence of Born series in the forward problem of optical diffusion tomography. The condition does not depend on the shape or spatial extent of the inhomogeneity but only on its amplitude.