Radiophysics and Quantum Electronics

, Volume 54, Issue 6, pp 390–401 | Cite as

The method of multifrequency near-field acoustical tomography of bulk inhomogeneities of the sea bottom

  • P. K. Gaikovich
  • A. I. Khil’ko
  • K. P. Gaikovich

In this work, we propose a method of near-field acoustical multi-frequency coherent tomography of spatially localized inhomogeneities of the shallow-sea bottom. In the framework of the developed method, two-dimensional spatial scanning of the radiating-receiving system along the bottom over the region of location of the inhomogeneities is performed at multiple frequencies. Using the Born approximation, the initial three-dimensional integral equation for the scattered field is reduced to one-dimensional Fredholm equation of the first kind with respect to the depth profile of the transverse spatial spectrum of the inhomogeneities. In the solution of this integral equation for each pair of spectral components, we use the method of generalized residual and obtain the sought three-dimensinal distribution via the inverse Fourier transform of the reconstructed spectrum. Results of numerical simulation of the tomography scheme and visualized inhomogeneities of shallow-sea bottom are presented.


Sound Velocity Born Approximation Horizontal Cross Section Reconstructed Spectrum Tomographic Method 


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Copyright information

© Springer Science+Business Media, Inc. 2011

Authors and Affiliations

  • P. K. Gaikovich
    • 1
  • A. I. Khil’ko
    • 2
  • K. P. Gaikovich
    • 1
  1. 1.Institute of Physics of Microstructures of the Russian Academy of SciencesNizhny NovgorodRussia
  2. 2.Institute of Applied Physics of the Russian Academy of SciencesNizhny NovgorodRussia

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