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Account of Multiple Scattering in Acoustic Inverse Problems of Tomographic Type

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Acoustical Imaging

Part of the book series: Acoustical Imaging ((ACIM,volume 19))

Abstract

At the present time different methods of the linearized solution of inverse scattering problems are developed. In this paper theoretical methods and numerical algorithms using multiple scattering considerations are suggested for reconstruction of higher contrast acoustic refraction inhomogeneities.

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References

  1. R.T. Prosser, Formal solution of inverse scattering problem, J. Math. Phys., 1980, V.21, N 11, 2648–2653.

    Article  MathSciNet  ADS  MATH  Google Scholar 

  2. A.J. Devaney, E. Wolf, A new perturbation expansion for inverse scattering from three-dimensional finite potentials, Phys.Let., 1982, V. 89A, N 6, 269–272.

    Article  MathSciNet  ADS  Google Scholar 

  3. Z. Lu, JKM-perturbation theory, relaxation perturbation theory and their applications to inverse scattering. Theory and reconstruction algorithms, IEEE Trans. on Ultrason., Ferroelect., and Freq. Cont., 1986, V.33, N 6, 722–730.

    Article  ADS  Google Scholar 

  4. V.A. Burov, A.A. Gorunov, A.V. Saskovets, T.A. Tikhonova, Inverse scattering problems in acoustics (review), Sov. Phys. Acoust., 1986, V.32, N 4, 273–282.

    Google Scholar 

  5. S.A. Johnson, Y. Zhou, M.K. Tracy, M.J. Berggren, and F. Stenger, Inverse scattering solution by a sinc basis moment method - Part III: Fast algorithms, Ultrason. Imag., 1984, 6, 103–116.

    Article  Google Scholar 

  6. V.A. Burov, A.A. Gorunov, M.N. Rychagov, Iterative solution of the scalar inverse problem using a priori information on the scatterer, Electr.Model.(U.K.), 1987, V. 9, N 6, 93–95.

    Google Scholar 

  7. V.A. Burov, A.V. Saskovets, I.O. Fatkullina, Local convergence of inverse scattering problems with gradual account of rescattering effects, Sov. Phys. Acoust., 1991, V.37, N 1, 30–35.

    Google Scholar 

  8. V.A. Burov, M.N. Rychagov, A.V. Saskovets, Effect of multiple scattering in diffraction tomography: The T-matrix approach, Vest. Mosk. Univ. Fizika, 1989, V.44, N1, 44–48.

    Google Scholar 

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© 1992 Springer Science+Business Media New York

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Burov, V.A., Rychagov, M.N., Saskovets, A.V. (1992). Account of Multiple Scattering in Acoustic Inverse Problems of Tomographic Type. In: Ermert, H., Harjes, HP. (eds) Acoustical Imaging. Acoustical Imaging, vol 19. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-3370-2_6

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  • DOI: https://doi.org/10.1007/978-1-4615-3370-2_6

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4613-6487-0

  • Online ISBN: 978-1-4615-3370-2

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