Picosecond scale experimental verification of a globally convergent algorithm for a coefficient inverse problem
Artikel i vetenskaplig tidskrift, 2010

A globally convergent algorithm by the first and third authors for a 3D hyperbolic coefficient inverse problem is verified on experimental data measured in the picosecond scale regime. Quantifiable images of dielectric abnormalities are obtained. The total measurement timing of a 100 ps pulse for one detector location was 1.2 ns with 20 ps (= 0.02 ns) time step between two consecutive readings. Blind tests have consistently demonstrated an accurate imaging of refractive indexes of dielectric abnormalities. At the same time, it is shown that a modified gradient method is inapplicable to this kind of experimental data. This inverse algorithm is also applicable to other types of imaging modalities, e. g. acoustics. Potential applications are in airport security, imaging of land mines, imaging of defects in non-distractive testing, etc.

Författare

M. V. Klibanov

The University of North Carolina at Charlotte

M. A. Fiddy

The University of North Carolina at Charlotte

Larisa Beilina

Chalmers, Matematiska vetenskaper, Matematik

Göteborgs universitet

N. Pantong

The University of North Carolina at Charlotte

J. Schenk

The University of North Carolina at Charlotte

Inverse Problems

0266-5611 (ISSN)

Vol. 26 4 (Article Number: 045003)-

Ämneskategorier

Beräkningsmatematik

DOI

10.1088/0266-5611/26/4/045003