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Three-Dimensional Inverse Scattering

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Inverse Problems

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Abstract

We consider the problem of obtaining information about an inaccessible region of space from scattering experiments. Inverse scattering theory for the time-independent Schrodinger equation [Δ + h2−V(x)]φ(k,x) = 0 is summarized. It is most easily understood by considering the associated hyperbolic equation [Δ −aaa − V(x)]u(t,x) = 0. Particular attention is paid to those aspects of the theory that hold for the wave equation [Δ − n2 (x)att]u(t,x) = 0.

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References

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Author information

Authors and Affiliations

  1. Department of Mathematics, Duke University, Durham, NC, 27706, USA

    Margaret Cheney

  2. Center for Nondestructive Evaluation, Iowa State University, Ames, Iowa, 50011, USA

    James H. Rose

  3. Department of Physics and Astronomy, University of Missouri, Columbia, MO, 65211, USA

    Brian DeFacio

Authors
  1. Margaret Cheney
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  2. James H. Rose
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  3. Brian DeFacio
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Editor information

Editors and Affiliations

  1. Dept. Pure & Appl. Mathematics, Washington State University, Pullman, Washington, 99163, USA

    John Rozier Cannon

  2. Sonderforschungsbereich 72, Wegelerstrasse 6, D-5300, Bonn 1, Germany

    Ulrich Hornung

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© 1986 Birkhäuser Verlag Basel

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Cheney, M., Rose, J.H., DeFacio, B. (1986). Three-Dimensional Inverse Scattering. In: Cannon, J.R., Hornung, U. (eds) Inverse Problems. International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série internationale d’Analyse numérique, vol 77. Birkhäuser Basel. https://doi.org/10.1007/978-3-0348-7014-6_4

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  • DOI: https://doi.org/10.1007/978-3-0348-7014-6_4

  • Publisher Name: Birkhäuser Basel

  • Print ISBN: 978-3-0348-7016-0

  • Online ISBN: 978-3-0348-7014-6

  • eBook Packages: Springer Book Archive

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