Stability of the Gauge Equivalent Classes in Inverse Stationary Transport in Refractive Media

TL;DR

This paper investigates the stability of gauge equivalence classes in the inverse stationary transport problem within refractive media, showing that the albedo operator reliably determines these classes despite anisotropy and scattering.

Contribution

It establishes the stable determination of gauge equivalence classes of coefficients in inverse transport problems with refractive media, extending previous results to more complex media.

Findings

The albedo operator uniquely determines gauge classes.

Stability estimates are derived for the inverse problem.

Results apply to anisotropic, scattering, and refractive media.

Abstract

In the inverse stationary transport problem through anisotropic attenuating, scattering, and refractive media, the albedo operator stably determines the gauge equivalent class of the attenuation and scattering coefficients.