Uniqueness in Inverse Obstacle Scattering for Electromagnetic Waves

@inproceedings{Kress2009UniquenessII,
  title={Uniqueness in Inverse Obstacle Scattering for Electromagnetic Waves},
  author={Rainer Kress},
  year={2009}
}
The inverse problem we consider in this survey is to determine the shape of an obstacle from the knowledge of the far field pattern for the scattering of time-harmonic electromagnetic waves. We will concentrate on uniqueness issues, i.e., we will investigate under what conditions an obstacle and its boundary condition can be identified from a knowledge of its far field patterns for incident plane waves. We will review recent uniqueness results and draw attention to open problems. Furthermore… CONTINUE READING
Highly Cited
This paper has 35 citations. REVIEW CITATIONS
22 Citations
17 References
Similar Papers

References

Publications referenced by this paper.
Showing 1-10 of 17 references

Electromagnetic waves scattering: Scattering by obstacles. In: Scattering (Pike, Sabatier, eds

  • R. Kress
  • 2001
Highly Influential
7 Excerpts

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

  • D. Colton, A. Kirsch
  • Inverse Problems
  • 1996
Highly Influential
4 Excerpts

Uniqueness in inverse obstacle scattering

  • A. Kirsch, R. Kress
  • Inverse Problems
  • 1993
Highly Influential
6 Excerpts

Point-Sources and Multipoles in Inverse Scattering Theory

  • R. Potthast
  • 2001
Highly Influential
4 Excerpts

A fast new method to solve inverse scattering problems

  • R. Potthast
  • Inverse Problems
  • 1996
Highly Influential
4 Excerpts

Electromagnetic waves scattering: Specific theoretical tools. In: Scattering (Pike, Sabatier, eds.) pp. 175–190

  • R. Kress
  • 2001
1 Excerpt

Local uniqueness for the fixed energy fixed angle inverse problem in obstacle scattering The reflection of solutions of Helmholtz equation and an application

  • P. Stefanov
  • Point - Sources and Multipoles in Inverse…
  • 2001

The reflection of solutions of Helmholtz equation and an application

  • K. Yun
  • Comm. Korean Math. Soc. 16,
  • 2001
3 Excerpts

On the uniqueness of the shape of a penetrable, anisotropic obstacle

  • P. Hähner
  • J. Comput. Appl. Math. 116,
  • 2000
2 Excerpts

Similar Papers

Loading similar papers…