Title

Tomographic reconstruction of vector fields in variable background media

Authors

Authors

A. Tamasan

Comments

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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

DOI Link

http://dx.doi.org/10.1088/0266-5611/23/5/022

Language

English

First Page

2197

Last Page

2205

WOS Identifier

WOS:000249735000023

ISSN

0266-5611

Recommended Citation

"Tomographic reconstruction of vector fields in variable background media" (2007). Faculty Bibliography 2000s. 7708.
https://stars.library.ucf.edu/facultybib2000/7708