A Hybrid Kirchhoff Migration Direction-of-Arrival Method for Underwater Imaging of Complex Objects Using Sparse Sensor Arrays

  • J. -F. DordEmail author
  • C. Farhat
Conference paper
Part of the Acoustical Imaging book series (ACIM, volume 30)


This paper considers the problem of imaging a complex object submerged in shallow waters using a sparse surface sensor array and a hybrid signal processing method. This method is constructed by refining the Kirchhoff migration technique to incorporate a zoning of the sensors and an analysis of multiple reflections, and combining it with the direction of arrival estimation method. Its performance is assessed and analyzed with the shape identification of a mockup submarine by numerical simulation. The obtained numerical results highlight the potential of this approach for detecting underwater intruders.


Complex object Direction of arrival Gathers Kirchhoff migration MUSIC Underwater acoustics 



The authors acknowledge partial support by the Office of Naval Research under Grant N00014-05-1-0204-1, and partial support by the National Science Foundation under Grant CNS-0540419.


  1. 1.
    Hagedoorn, J.G.: A process of seismic reflection interpretation. Geophys. Prosp. 2, 85–127 (1954)ADSCrossRefGoogle Scholar
  2. 2.
    Bleistein, N.: Hagedoorn: Kirchhoff migration and inversion. The Leading Edge 18, 918–927 (1999)CrossRefGoogle Scholar
  3. 3.
    Claerbout, J.: Imaging the earth’s interior, Report of the Stanford Exploration Project #40 (1985)Google Scholar
  4. 4.
    Biondi, B.L.: 3D seismic imaging, Investigations in Geophysics #14 by Society of Exploration Geophysicists (2006), Chapter 2Google Scholar
  5. 5.
    Aastroem, T.: From fifteen to two hundred NDT methods in fifty years, Proceedings of the 17th World Conference on Nondestructive Testing, Shanghai (2008)Google Scholar
  6. 6.
    Dougherty, R.P.: Advanced time-domain beamforming techniques, 10th AIAA/CEAS Aeroacoustics conference (2004)Google Scholar
  7. 7.
    Bancroft, J.C., Geiger, H.D., Foltinek, D.S., Wang, S.: Prestack migration by equivalent offsets and CSP gathers, CREWES Research Report (1995)Google Scholar
  8. 8.
    Berkhout, A.J., Verschuur, D.J.: Imaging multiple reflections: The concept. Geophysics 71(4), SI209–SI220 (2006)ADSCrossRefGoogle Scholar
  9. 9.
    Borcea, L., Papanicolaou, G., Tsogka, C.: Coherent interferometric imaging in clutter. Geophysics 71–74, 165–175 (2006)Google Scholar
  10. 10.
    Marengo, E.A., Gruber, F.K., Simonetti, F.: Time-reversal MUSIC imaging of extended targets. IEEE Trans. Image Process. 16, 1967–1984 (2007)MathSciNetADSCrossRefGoogle Scholar
  11. 11.
    Farhat, C., Tezaur, R., Djellouli, R.: On the solution of three-dimensional inverse obstacle acoustic scattering problems by a regularized Newton method. Inverse Probl. 18, 1229–1246 (2002)MathSciNetADSzbMATHCrossRefGoogle Scholar
  12. 12.
    National Academy of Sciences: Beyond discovery: Sounding out the ocean’s secrets (2003)Google Scholar
  13. 13.
    Lopez-Sanchez, J.M., Fortuny-Guasch, J.: 3D radar using range migration techniques. IEEE Trans. Antenn. Propag. 48(5), 728–737 (2000)ADSCrossRefGoogle Scholar
  14. 14.
    Sternlicht, D., Pesaturo, J.F.: Synthetic aperture sonar: Frontiers in underwater imaging. Sea Tech. 45 (2004)Google Scholar

Copyright information

© Springer Science+Business Media B.V. 2011

Authors and Affiliations

  1. 1.Department of Mechanical Engineering, Department of Aeronautics and AstronauticsStanford UniversityStanfordUSA

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