Non-destructive imaging using the time domain topological energy method.

The time domain topological gradient has recently been presented as a promising technique for imaging of complex structures [N. Dominguez, et al., Wave Motion 42 (1) (2005) 31-52], showing results obtained on simulated data. The method relies on the adequate combination of two computed ultrasonic fields, one forward and one adjoint. The adjoint field, that carries the information about the defects, is analogous to a time reversal operation. The forward field plays the role of a "photographic developer". The great interest of the method is that the time reversal operation is not done experimentally but numerically, allowing implementation of low cost systems. The expected low sensitivity of the method to the presence of measurement or structure noise had been discussed in a former work. This paper shows results obtained on experimental data in the context of non-destructive testing, showing the efficiency of the method even in complex configuration such that composite material testing.

[1]  R. S. Sharpe,et al.  Research techniques in nondestructive testing , 1970 .

[2]  Karl J. Langenberg Linear Scalar Inverse Scattering , 2002 .

[3]  M. Fink,et al.  Self focusing in inhomogeneous media with time reversal acoustic mirrors , 1989, Proceedings., IEEE Ultrasonics Symposium,.

[4]  Martin Spies,et al.  Synthetic aperture focusing for defect reconstruction in anisotropic media. , 2003, Ultrasonics.

[5]  J L Thomas,et al.  Optimal focusing by spatio-temporal inverse filter. I. Basic principles. , 2001, The Journal of the Acoustical Society of America.

[6]  Philippe Guillaume,et al.  The Topological Asymptotic for PDE Systems: The Elasticity Case , 2000, SIAM J. Control. Optim..

[7]  Vincent Gibiat,et al.  Time domain topological gradient and time reversal analogy: an inverse method for ultrasonic target detection , 2005 .

[8]  Roux,et al.  Robust Acoustic Time Reversal with High-Order Multiple Scattering. , 1995, Physical review letters.

[9]  J L Thomas,et al.  Optimal focusing by spatio-temporal inverse filter. II. Experiments. Application to focusing through absorbing and reverberating media. , 2001, The Journal of the Acoustical Society of America.

[10]  M. Fink,et al.  Time reversal of ultrasonic fields. I. Basic principles , 1992, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control.

[11]  Mathias Fink,et al.  Decomposition of the time reversal operator: Detection and selective focusing on two scatterers , 1996 .

[12]  Bojan B. Guzina,et al.  Small-inclusion asymptotic of misfit functionals for inverse problems in acoustics , 2006 .