Springer Nature is making SARS-CoV-2 and COVID-19 research free. View research | View latest news | Sign up for updates

Eddy-current modeling and flaw reconstruction

  • 78 Accesses

  • 24 Citations

Abstract

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.

This is a preview of subscription content, log in to check access.

References

  1. 1.

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

  2. 2.

    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).

  3. 3.

    G. H. Golub and C. F. Van Loan,Matrix Computations (Johns Hopkins University Press, Baltimore, Md., 1983).

  4. 4.

    C. L. Lawson and R. J. Hanson,Solving Least Squares Problems (Prentice Hall, Englewood Cliffs, N.J., 1974).

  5. 5.

    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.

  6. 6.

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

Download references

Author information

Rights and permissions

Reprints and Permissions

About this article

Cite this article

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

Download citation

Key words

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