Title

Tomographic Reconstruction Of Vector Fields In Variable Background Media

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. © 2007 IOP Publishing Ltd.

Publication Date

10-1-2007

Publication Title

Inverse Problems

Volume

23

Issue

5

Number of Pages

2197-2205

Document Type

Article

Personal Identifier

scopus

DOI Link

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

Socpus ID

41449111831 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/41449111831

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