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A linear method for solving inverse scattering problems in the resonance region

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Book cover Inverse Problems of Wave Propagation and Diffraction

Part of the book series: Lecture Notes in Physics ((LNP,volume 486))

This work was supported in part by a grant from the Air Force Office of Scientific Research.

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References

  1. D. Colton and A. Kirsch, A simple method for solving inverse scattering problems in the resonance region, Inverse Problems, 12 (1996), 383–393.

    Article  MATH  ADS  MathSciNet  Google Scholar 

  2. D. Colton and R. Kress, Inverse Acoustic and Electromagnetic Scattering Theory, Springer-Verlag, Berlin, 1992.

    MATH  Google Scholar 

  3. D. Colton and P. Monk, A linear sampling method for the detection of leukemia using microwaves, submitted for publication.

    Google Scholar 

  4. D. Colton and R. Potthast, A simple method for inverse electromagnetic scattering from inhomogeneous media, submitted for publication.

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  5. V. Isakov, On uniqueness in the inverse transmission scattering problem, Comm. Partial Diff. Equations 15 (1990), 1565–1587.

    Article  MATH  MathSciNet  Google Scholar 

  6. A. Kirsch, An Introduction to the Mathematical Theory of Inverse Problems, Springer-Verlag, Berlin, 1996.

    MATH  Google Scholar 

  7. R. Potthast, A fast new method to solve inverse scattering problems, to appear.

    Google Scholar 

  8. B.P. Rynne and B.D. Sleeman, The interior transmission problem and inverse scattering from inhomogeneous media, SIAM J. Math. Anal. 22 (1991), 1755–1762.

    Article  MATH  ADS  MathSciNet  Google Scholar 

  9. Z. Sun and G. Uhlmann, Recovery of singularities for formally determined inverse problems, Comm. Math. Physics 153 (1993), 431–445.

    Article  MATH  ADS  MathSciNet  Google Scholar 

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Authors and Affiliations

  1. Department of Mathematical Sciences, University of Delaware, 19716, Newark, DE, U.S.A.

    David L. Colton

Authors
  1. David L. Colton
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Guy Chavent Pierre C. Sabatier

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© 1997 Springer-Verlag

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Colton, D.L. (1997). A linear method for solving inverse scattering problems in the resonance region. In: Chavent, G., Sabatier, P.C. (eds) Inverse Problems of Wave Propagation and Diffraction. Lecture Notes in Physics, vol 486. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0105762

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  • DOI: https://doi.org/10.1007/BFb0105762

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-62865-1

  • Online ISBN: 978-3-540-68713-9

  • eBook Packages: Springer Book Archive

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