Eddy Current Imaging of Surface Breaking Defects by Using Monotonicity Based Methods
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Eddy Current Imaging of Surface Breaking Defects by Using Monotonicity Based MethodsAbstract
This paper is in the framework of the nondestructive evaluation of conductive materials by means of eddy current testing. In particular, we consider the imaging of surface breaking volumetric defects. In this case, it is possible to use relatively “high-frequencies” and, in the limit of skin-depth negligible with respect to the relevant geometrical sizes and negligible displacement current, the problem can be modeled as a magnetostatic one. The elliptic nature of magnetostatic allows proving a monotonicity property of the operator mapping the defects geometry into the measured quantity. This makes possible to use a recently proposed fast (noniterative) imaging algorithm.
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References
A. Tamburrino and G. Rubinacci, “Fast methods for
quantitative Eddy-current tomography of conductive
materials,” IEEE Transactions on Magnetics, MAG-
, no. 8, pp. 2017–2028, 2006.
A. Tamburrino and G. Rubinacci, “A new non-
iterative inversion method for electrical resistance
tomography,” J. of Inverse and Ill-posed Problems,
vol. 18, pp. 1809-1829, December 2002.
G. Rubinacci, A. Tamburrino, and S. Ventre,
“Numerical optimization and regularization of a fast
eddy current imaging method,” IEEE Transactions
on Magnetics, vol. 42, no. 4, pp. 1179-1182, 2006.
A. Tamburrino, “Monotonicity based imaging
methods for elliptic and parabolic inverse problems,”
J. of Inverse and Ill-posed Problems, vol. 14, no. 6,
pp. 633-642, September 2006.
A. Bossavit, Computational Electromagnetism,
Variational Formulations, Edge Elements,
Complementarity, Boston, MA: Academic Press,
R. Albanese and G. Rubinacci, Finite Element
Methods for the Solution of 3D Eddy Current
Problems, Advances in Imaging and Electron
Physics, edited by Peter W. Hawkes, vol. 102, pp. 1-
, Academic Press, 1998.
