Klibanov, Michael V.; Fiddy, Michael A.; Beilina, Larisa; Pantong, Natee; Schenk, John Picosecond scale experimental verification of a globally convergent algorithm for a coefficient inverse problem. (English) Zbl 1190.78006 Inverse Probl. 26, No. 4, Article ID 045003, 30 p. (2010). Summary: 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. Cited in 27 Documents MSC: 78A55 Technical applications of optics and electromagnetic theory 65M12 Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs 65M32 Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs 65D15 Algorithms for approximation of functions Keywords:stability and convergence of numerical methods; inverse problems; algorithms for functional approximation Software:3D Fresnel database PDFBibTeX XMLCite \textit{M. V. Klibanov} et al., Inverse Probl. 26, No. 4, Article ID 045003, 30 p. (2010; Zbl 1190.78006) Full Text: DOI Link