Title

UNIQUENESS AND NON-UNIQUENESS IN INVERSE RADIATIVE TRANSFER

Authors

Authors

P. Stefanov;A. Tamasan

Comments

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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.

Journal Title

Proceedings of the American Mathematical Society

Volume

137

Issue/Number

7

Publication Date

1-1-2009

Document Type

Article

First Page

2335

Last Page

2344

WOS Identifier

WOS:000264663600020

ISSN

0002-9939

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