In order to image a source or a scatterer embedded in a three dimensional solid, acoustic/elastic wave data from an actual experiment are time reversed and backpropagated through a numerical model of the medium. The model makes use of estimates for the elastic constants of the laboratory solid. These estimates may not be very precise, for example, due to experimental uncertainties. Poor characterization of the medium leads to the degradation of the time reversal focus, therefore, to poor medium imaging. In this work, we report on the results of investigating the time reversal focus degradation as the estimates depart from the real values. Very small deviations from the medium’s actual elastic constants degrade the time reversal focus dramatically. However, decreasing the total duration of the signals used for time reversal can attenuate the degradation in some cases. We propose a new method to compensate for the deviations of the model medium’s elastic constants from the actual values. Finally, we explore the effects of scatterers that may exist in the laboratory medium, but are not included in the model medium, and show that their presence does not produce significant effects on the time reversal focus.
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1 December 2009
Research Article|
December 11 2009
Robustness of computational time reversal imaging in media with elastic constant uncertainties
M. Scalerandi;
M. Scalerandi
1Department of Physics,
Politecnico di Torino
, C.so Duca degli Abruzzi 24, 10129 Torino, Italy
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M. Griffa;
M. Griffa
a)
2Laboratory for Building Science and Technology,
Swiss Federal Laboratories for Materials Testing and Research (EMPA)
, Dübendorf 8600, Switzerland
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P. A. Johnson
P. A. Johnson
3Geophysics Group (EES-17),
Los Alamos National Laboratory
, MS D443, Los Alamos, New Mexico, 87545
USA
Search for other works by this author on:
M. Scalerandi
1
M. Griffa
2,a)
P. A. Johnson
3
1Department of Physics,
Politecnico di Torino
, C.so Duca degli Abruzzi 24, 10129 Torino, Italy
2Laboratory for Building Science and Technology,
Swiss Federal Laboratories for Materials Testing and Research (EMPA)
, Dübendorf 8600, Switzerland
3Geophysics Group (EES-17),
Los Alamos National Laboratory
, MS D443, Los Alamos, New Mexico, 87545
USA
a)
Author to whom correspondence should be addressed. Electronic mail: [email protected].
J. Appl. Phys. 106, 114911 (2009)
Article history
Received:
July 31 2009
Accepted:
November 05 2009
Citation
M. Scalerandi, M. Griffa, P. A. Johnson; Robustness of computational time reversal imaging in media with elastic constant uncertainties. J. Appl. Phys. 1 December 2009; 106 (11): 114911. https://doi.org/10.1063/1.3269718
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