Ultrasonic 3-D Reconstruction of Inclusions in Solids Using the Inverse Born Algorithm

  • D. K. Hsu
  • James H. Rose
  • D. O. Thompson
Part of the Library of Congress Cataloging in Publication Data book series (volume 2A)


Considerable progress has been made in recent years in the development of signal processing algorithms for use in ultrasonic non-destructive evaluation which yield the size, shape, and orientation of a flaw. This kind of flaw information is necessary in order that failure predictions of materials and components can be made from non-destructive tests. The signal processing algorithms that have been developed for ultrasonics are based upon both direct and inverse approximate solutions to the elastic wave scattering problem, and cover various ranges of the parameter ka where \(k = \frac{{2\pi }}{\lambda }\) is the wave number of the ultrasound and a is a flaw size dimension. In order to use these algorithms effectively in the determination of flaw parameters, it has been found necessary to obtain measurements of the flaw at several viewing angles. At this time, there is no ultrasonic transducer available which permits this to be done efficiently and conveniently in the long and intermediate wavelength end of the spectrum. This region has been shown to be quite rich in flaw information and is appropriate to ultrasonic NDE in many practical applications (e.g., thick wall sections).


Tungsten Carbide Characteristic Resonance Signal Processing Algorithm Half Angle Flaw Shape 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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  1. 1.
    R. C. Addison, R. K. Elsley and J. F. Martin, in Review of Progress in Quantitative NDE, Eds. D. O. Thompson and D. E. Chimenti, Pub. by Plenum Press 1, 251 (1981).Google Scholar
  2. 2.
    R. B. Thompson and T. A. Gray, in Review of Progress in Quantitative NDE, Eds. D. O. Thompson and D. E. Chimenti, Pub. by Plenum Press 1, 233 (1981).Google Scholar
  3. 3.
    J. H. Rose, R. K. Elsley, B. Tittmann, V. V. Varadan and V. K. Varadan, in Acoustic, Electromagnetic and Elastic Wave Scattering, Eds. V. V. Varadan and V. K. Varadan, Pergamon Press, pp. 605–614 (1980).Google Scholar
  4. 4.
    Y. Sato and Tatsuo Usami, Geophys. Mag. 31, 15 (1962).Google Scholar
  5. 5.
    W. G. Neubauer, R. H. Vogt, and L. R. Dragonette, J. Acoust. Soc. Am., 55, 1123 (1974), ibid 55, 1130 (1974).CrossRefGoogle Scholar
  6. 6.
    B. A. Auld, Acoustic fields and waves in solids, see Vol. 21, 232–239 (1973) for a discussion of normal modes.Google Scholar
  7. 7.
    D. B. Fraser and R. C. LeCraw, Rev. Scientific Instrum., 35, 1113 (1964).CrossRefGoogle Scholar
  8. 8.
    Industrial Tectronics, Inc., Ann Arbor, Michigan.Google Scholar
  9. 9.
    C. F. Ying and R. Truell, J. Appl. Phys. 27, 1086 (1955).CrossRefMathSciNetGoogle Scholar
  10. 10.
    For a probabilistic inversion algorithm for crack-like flaws in terms of these parameters, see R. K. Elsley, in Review of Progress in Quantitative NDE, Eds. D. O. Thompson and D. E. Chimenti, Plenum Press 1. (1981).Google Scholar
  11. 11.
    H. Goldstein, Classical Mechanics, Addison Wesley, 1959, p. 107.Google Scholar
  12. 12.
    D. K. Hsu, J. H. Rose, R. B. Thompson and D. O. Thompson, submitted to Appl. Phys. Lett.Google Scholar
  13. 13.
    J. L. Opsal, in Proc. DARPA/AFML Review of Progress in Quantitative NDE, 292 (1980).Google Scholar
  14. 14.
    J. H. Rose, T. A. Gray, R. B. Thompson and J. L. Opsal, these proceedings.Google Scholar

Copyright information

© Plenum Press, New York 1983

Authors and Affiliations

  • D. K. Hsu
    • 1
    • 2
  • James H. Rose
    • 1
  • D. O. Thompson
    • 1
  1. 1.Ames Laboratory, USDOEIowa State UniversityAmesUSA
  2. 2.Physics DepartmentColorado State UniversityFort CollinsUSA

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