Numerical reconstruction of radiative sources from partial boundary measurements
Numerical Analysis
2023-06-08 v1 Numerical Analysis
Abstract
We consider an inverse source problem in the stationary radiative transport through an absorbing and scattering medium in two dimensions. Using the angularly resolved radiation measured on an arc of the boundary, we propose a numerical algorithm to recover the source in the convex hull of this arc. The method involves an unstable step of inverting a bounded operator whose range is not closed. We show that the continuity constant of the discretized inverse grows at most linearly with the discretization step, thus stabilizing the problem.
Keywords
Cite
@article{arxiv.2203.04565,
title = {Numerical reconstruction of radiative sources from partial boundary measurements},
author = {Hiroshi Fujiwara and Kamran Sadiq and Alexandru Tamasan},
journal= {arXiv preprint arXiv:2203.04565},
year = {2023}
}