UNIQUENESS AND NON-UNIQUENESS IN INVERSE RADIATIVE TRANSFER

    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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