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Picosecond scale experimental verification of a globally convergent algorithm for a coefficient inverse problem

M. V. Klibanov ; M. A. Fiddy ; Larisa Beilina (Institutionen för matematiska vetenskaper, matematik) ; N. Pantong ; J. Schenk
Inverse Problems (0266-5611). Vol. 26 (2010), 4, p. (Article Number: 045003).
[Artikel, refereegranskad vetenskaplig]

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.

Denna post skapades 2010-06-10.
CPL Pubid: 122620


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Institutioner (Chalmers)

Institutionen för matematiska vetenskaper, matematik (2005-2016)


Numerisk analys

Chalmers infrastruktur