Tomographic reconstruction of vector fields in variable background media

    Authors

    A. Tamasan

    Comments

    Authors: contact us about adding a copy of your work at STARS@ucf.edu

    Abbreviated Journal Title

    Inverse Probl.

    Keywords

    ATTENUATED RADON-TRANSFORM; INVERSION-FORMULA; Mathematics, Applied; Physics, Mathematical

    Abstract

    This paper considers the problem of determination of a planar vector field when its Doppler data are modified by the presence of an unknown scalar field. Such a problem occurs in the investigation of velocity distribution in a flow through media of variable sound speed. We show that the curl of the vector field can be stably recovered. In absorbing media the integrals are weighted to account for the attenuation along the path. When the boundary values of the vector field are known, its solenoidal part is determined from its curl. We use Bukhgeim's approach to the problem of tomography.

    Journal Title

    Inverse Problems

    Volume

    23

    Issue/Number

    5

    Publication Date

    1-1-2007

    Document Type

    Article

    Language

    English

    First Page

    2197

    Last Page

    2205

    WOS Identifier

    WOS:000249735000023

    ISSN

    0266-5611

    Share

    COinS