Skip to main content

Inverse scattering theory: Exact and approximate solutions

  • Inverse Scattering Theory and Related Topics
  • Conference paper
  • First Online:
Mathematical Methods and Applications of Scattering Theory

Part of the book series: Lecture Notes in Physics ((LNP,volume 130))

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. I.M. Gel'fand, B.M. Levitan: “On the determination of a differential equation from its spectral function,” Trans. Amer. Math. Soc., Ser. 2, 1, 253–304 (1955)

    Google Scholar 

  2. K. G. Budden: Radio waves in the ionosphere (Cambridge University Press, 1961)

    Google Scholar 

  3. I. Kay: “The inverse scattering problem when the reflection coefficient is a rational function,” Comm. Pure Appl. Math. 13, 371–393 (1961)

    Google Scholar 

  4. A.K. Jordan, H.N. Kritikos: “An application of one-dimensional inverse-scattering theory for inhomogeneous regions,” IEEE Trans. AP-21, 909–911 (1973)

    Google Scholar 

  5. S. Ahn, A. K. Jordan: “Profile inversion of simple plasmas and nonuniform regions: three-pole reflection coefficient,” IEEE Trans. AP-24, 879–882 (1976)

    Google Scholar 

  6. V. Bargmann: “On the number of bound states in a central field of force,” Proc. Nat. Acad. Sci. (USA) 38, 961–966 (1952)

    Google Scholar 

  7. H. Moses: “Calculation of the scattering potential from the reflection coefficient”, Phys. Rev. 102, 559–567 (1956)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

John A. DeSanto Albert W. Sáenz Woodford W. Zachary

Rights and permissions

Reprints and permissions

Copyright information

© 1980 Springer-Verlag

About this paper

Cite this paper

Jordan, A.K. (1980). Inverse scattering theory: Exact and approximate solutions. In: DeSanto, J.A., Sáenz, A.W., Zachary, W.W. (eds) Mathematical Methods and Applications of Scattering Theory. Lecture Notes in Physics, vol 130. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-10023-7_131

Download citation

  • DOI: https://doi.org/10.1007/3-540-10023-7_131

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-10023-2

  • Online ISBN: 978-3-540-38184-6

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics