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Exact Inverse Scattering Solutions in Multi-Dimensions (Perspectives of Using in Acoustical Imaging)

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Acoustical Imaging

Part of the book series: Acoustical Imaging ((ACIM,volume 21))

Abstract

The aim of the present report is not to propose new algorithms , but to consider perspective and possibilities of practical realization of some algorithms for the solution of the inverse scattering problem being developed lately. These algorithms have been intended for the solution of both the inverse potential scattering problems and, especially recently, for the inverse wave scattering problems (the acoustical problems, in the first place) . Some modern functional methods of reconstructing the space scatterer structure are analyzed in the report. The mathematical support for the acoustical ultrasonic tomograph can be an example of one of the most actual application spheres of these methods . The interest for reconstructing the sufficiently strong scatterers is not casual. In medical tomography problems the respective variation of phase velocity is Δc/co < 5 x 10-2 and reconstructed objects sizes are L ≃ 20cm , so that the parameter (Δc/co)koL characterizing the scatterer power rarely occurs less than 1 .

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Authors and Affiliations

  1. Department of Physics, Moscow State University, 119899, Moscow, Russia

    V. A. Burov & O. D. Rumiantseva

Authors
  1. V. A. Burov
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  2. O. D. Rumiantseva
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Editors and Affiliations

  1. Dept. of Radilogical Science, University of California, Irvine, Irvine, CA, 92717, USA

    Joie Pierce Jones

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© 1995 Springer Science+Business Media New York

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Burov, V.A., Rumiantseva, O.D. (1995). Exact Inverse Scattering Solutions in Multi-Dimensions (Perspectives of Using in Acoustical Imaging). In: Jones, J.P. (eds) Acoustical Imaging. Acoustical Imaging, vol 21. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-1943-0_11

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  • DOI: https://doi.org/10.1007/978-1-4615-1943-0_11

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4613-5797-1

  • Online ISBN: 978-1-4615-1943-0

  • eBook Packages: Springer Book Archive

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