Multimode Modeling and Imaging in Nondestructive Testing

  • K. J. Langenberg
  • R. Marklein
  • K. Mayer
  • H. Wiggenhauser
  • M. Krause
Conference paper
Part of the Springer Proceedings in Physics book series (SPPHY, volume 97)

Abstract

Linear acoustic and linear elastic waves as well as electromagnetic waves satisfy a system of two partial differential equations of first order in space — R being the vector of position — and time t, the so-called governing equations:

Keywords

Microwave Gravel Compressibility Acoustics Pebble 

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References

  1. 1.
    Marklein R, Mayer K, Hannemann R, Krylow T, Balasubramanian K, Langenberg K J, Schmitz V (2002) Inverse Problems, 18: 1733–1759MathSciNetADSMATHCrossRefGoogle Scholar
  2. 2.
    de Hoop A T (1995) Handbook of Radiation and Scattering of Waves. Academic Press, London.Google Scholar
  3. 3.
    Langenberg K J, Fellinger P, Marklein R, Zanger P, Mayer K, Kreutter T (1993) Inverse Methods and Imaging. In: Achenbach J D (ed) Evaluation of Materials and Structures by Quantitative Ultrasonics. Springer, WienGoogle Scholar
  4. 4.
    Langenberg K J, Brandfaß M, Hannemann R, Hofmann Ch, Kaczorowski T, Kostka J, Marklein R, Mayer K, Pitsch A (1999) Inverse Scattering with Acoustic, Electromagnetic, and Elastic Waves as Applied in Nondestructive Testing. In: Wirgin A (ed) Wavefield Inversion. Springer, Wien.Google Scholar
  5. 5.
    Langenberg K J (1987) Linear scalar inverse scattering. In: Pike R, Sabatier P (eds) Scattering. Academic Press.Google Scholar
  6. 6.
    Belkebir K, Saillard M (eds) (2001) Special Section: Testing Inversion Algorithms Against Experimental Data. Inverse Problems, 17: 1565–1791MathSciNetADSMATHCrossRefGoogle Scholar
  7. 7.
  8. 8.
  9. 9.
    Mayer K, Zimmer A, Langenberg K J, Kohl C, Maierhofer C (2003) Nondestructive Evaluation of Embedded Structures in Concrete: Modeling and Imaging. Proc. of the International Symposium on “Non-Destructive Testing in Civil Engineering”, Sept. 16–19, Berlin, GermanyGoogle Scholar
  10. 10.
    Marklein R (2002) The Finite Integration Technique as a General Tool to Compute Acoustic, Electromagnetic, Elastodynamic, and Coupled Wave Fields. In: Stone W R (ed) Review of Radio Science 1999–2002. IEEE Press, PiscatawayGoogle Scholar
  11. 11.
    Fellinger P, Marklein R, Langenberg K J, Klaholz S (1995) Numerical Modeling of Elastic Wave Propagation and Scattering with EFIT–Elastodynamic Finite Integration Technique. Wave Motion 21: 47–66MATHCrossRefGoogle Scholar
  12. 12.
    Schmitz V (2002) Nondestructive Acoustic Imaging Techniques. In: Fink M, Kuperman W A, Montagner J-P, Tourin A (eds) Imaging of Complex Media with Acoustic and Seismic Waves. Springer, BerlinGoogle Scholar
  13. 13.
    Mayer K, Marklein R, Langenberg K J, Kreutter T (1990) Three-Dimensional Imaging System Based on Fourier Transform Synthetic Aperture Focusing Technique. Ultrasonics 28: 241CrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2004

Authors and Affiliations

  • K. J. Langenberg
    • 1
  • R. Marklein
    • 1
  • K. Mayer
    • 1
  • H. Wiggenhauser
    • 2
  • M. Krause
    • 2
  1. 1.Department of Electrical Engineering and Computer ScienceUniversity of KasselKasselGermany
  2. 2.Federal Institute for Materials Research and Testing (BAM)BerlinGermany

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