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Exact Solution of Two-Dimensional Monochromatic Inverse Scattering Problem and Secondary Sources Space Spectrum

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Acoustical Imaging

Part of the book series: Acoustical Imaging ((ACIM,volume 24))

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References

  1. P.G. Grinevich, S.V. Manakov, The inverse problem of the scattering theory for two-dimensional Schrödinger operator, \( \bar \partial \)-method and nonlinear equations, Func. Analysis and Its Applic., 20:14 (1986).

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  2. R.G. Novikov, The inverse scattering problem on a fixed energy level for the two-dimensional Schrödinger operator, J. Funkt. Anal., 103:409 (1992).

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  3. V.A. Burov, O.D. Rumiantseva, The functional-analytical methods for the scalar inverse scattering problem, in: Analytical Methods for Optical Tomography, G.G. Levin, ed., SPIE, Washington (1992).

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  4. L.D. Faddeev, Inverse problem of quantum scattering theory. II, J. of Soviet Math., 5:334 (1976).

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  5. V.A. Burov, and O.D. Rumiantseva, Influence of the scattering data redundancy on uniqueness and stability in reconstruction of strong and complicated scatterers, in: Acoustical Imaging-22, P. Tortoli and L. Masotti, ed., Plenum Press, New York (1996).

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Author information

Authors and Affiliations

  1. Faculty of Physics, Dept. of Acoustics, Moscow State University, Moscow, 119899, Russia

    V.A. Burov, S.A. Morozov, O.D. Rumiantseva, S.N. Vecherin & A.Yu. Zhucovets

  2. Institute of Control Sciences of Russian Academy of Sciences, Russia

    E.G. Sukhov

Authors
  1. V.A. Burov
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  2. S.A. Morozov
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  3. O.D. Rumiantseva
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  4. E.G. Sukhov
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  5. S.N. Vecherin
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  6. A.Yu. Zhucovets
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Editor information

Editors and Affiliations

  1. University of California, Santa Barbara, Santa Barbara, California

    Hua Lee

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© 2002 Kluwer Academic Publishers

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Burov, V., Morozov, S., Rumiantseva, O., Sukhov, E., Vecherin, S., Zhucovets, A. (2002). Exact Solution of Two-Dimensional Monochromatic Inverse Scattering Problem and Secondary Sources Space Spectrum. In: Lee, H. (eds) Acoustical Imaging. Acoustical Imaging, vol 24. Springer, Boston, MA. https://doi.org/10.1007/0-306-47108-6_10

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  • DOI: https://doi.org/10.1007/0-306-47108-6_10

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-0-306-46518-5

  • Online ISBN: 978-0-306-47108-7

  • eBook Packages: Springer Book Archive

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