Title

Uniqueness And Non-Uniqueness In Inverse Radiative Transfer

Abstract

We characterize the non-uniqueness in the inverse problem for the stationary transport model, in which the absorption a and the scattering coefficient k of the media are to be recovered from the albedo operator. We show that "gauge equivalent" pairs (a, k) yield the same albedo operator, and that we can recover uniquely the class of the gauge equivalent pairs. We apply this result to show unique determination of the media when the absorption a depends on the line of travel through each point while the scattering k obeys a symmetry property. Previously known results concerned the directional independent absorption a. © 2009 American Mathematical Society.

Publication Date

7-1-2009

Publication Title

Proceedings of the American Mathematical Society

Volume

137

Issue

7

Number of Pages

2335-2344

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1090/S0002-9939-09-09839-6

Socpus ID

76649102598 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/76649102598

This document is currently not available here.

Share

COinS