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Eddy-current modeling and flaw reconstruction

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A model is presented for the inversion of eddy-current data and the reconstruction of flaws. The model is based on rigorous electromagnetic theory, and uses a multifrequency approach to make it truly three-dimensional. Algorithms for solving the discretized equations are presented, and the numerical problems involved are discussed. The processing of laboratory data from actual flaws is presented, with the results of these reconstructions shown as grayscale images.

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    H. A. Sabbagh and L. D. Sabbagh, An eddy-current model for three-dimensional inversion,IEEE Trans. Magnet. Mag-22:282–291 (1986).

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    H. A. Sabbagh and L. D. Sabbagh, Development of a system to invert eddy-current data and reconstruct flaws: Part 2, Multi-frequency approach,International Advances in Nondestructive Testing, Vol. 10 (1984).

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    L. D. Sabbagh, H. A. Sabbagh, and J. S. Klopfenstein, Image enhancement via extrapolation techniques: A two dimensional iterative scheme and a direct matrix inversion scheme, in D. O. Thompson and D. E. Chimenti (Eds.),Review of Progress in Quantitative Nondestructive Evaluation 5A (Plenum Press, New York, 1986), pp. 473–483.

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    A. Lent and H. Tuy, An interactive method for the extrapolation of band limited functions,J. Math. Anal. Appl. 83:554–565 (1981).

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Sabbagh, L.D., Sabbagh, H.A. Eddy-current modeling and flaw reconstruction. J Nondestruct Eval 7, 95–110 (1988). https://doi.org/10.1007/BF00565780

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Key words

  • Eddy-current model
  • flaw reconstruction
  • constrained least-squares problem
  • extrapolation in frequency domain