Time reversal through a solid-liquid interface and super-resolution
Authors: Tsogka C.1; Papanicolaou G.C.2
Source: Inverse Problems, Volume 18, Number 6, 2002 , pp. 1639-1657(19)
Publisher: Institute of Physics Publishing
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Abstract:
We present numerical computations that reproduce the time-reversal experiments of Draeger et al (Draeger C, Cassereau D and Fink M 1998 Appl. Phys. Lett.721567-9), where ultrasound elastic waves are time-reversed back to their source with a time-reversal mirror in a fluid adjacent to the solid. We also show numerically that multipathing caused by random inhomogeneities improves the focusing of the back-propagated elastic waves beyond the diffraction limit seen previously in acoustic wave propagation (Dowling D R and Jackson D R 1990 J. Acoust. Soc. Am.89 171-81, Dowling D R and Jackson D R 1992 J. Acoust. Soc. Am.91 3257-77, Fink M 1999 Sci. Am. 91-7, Kuperman W A, Hodgkiss W S, Song H C, Akal T, Ferla C and Jackson D R 1997 J. Acoust. Soc. Am.103 25-40, Derode A, Roux P and Fink M 1995 Phys. Rev. Lett.75 4206-9), which is called super-resolution. A theoretical explanation of the robustness of super-resolution is given, along with several numerical computations that support this explanation (Blomgren P, Papanicolaou G and Zhao H 2002 J. Acoust. Soc. Am.111238-48). Time reversal with super-resolution can be used in non-destructive testing and, in a different way, in imaging with active arrays ( [A article"0266-5611/18/5/303"] Borcea L, Papanicolaou G, Tsogka C and Berryman J 2002 Inverse Problems18 1247-79) [/A] .
Language: English
Document Type: Miscellaneous
Affiliations: 1: INRIA-Rocquencourt, France and CNRS/LMA, 31 Chemin Joseph Aiguier, F-13402 Marseille Cedex 20, France 2: Department of Mathematics, Stanford University, Stanford, CA 94305, USA
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