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Generalizations of Karp’s theorem to elastic scattering theory

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Inverse Problems of Wave Propagation and Diffraction

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

Abstract

Karp’s theorem states that if the far field pattern corresponding to the scattering of a time-harmonic acoustic plane wave by a sound-soft obstacle in R2 is invariant under the group of rotations, then the scatterer is a circle. The theorem is generalized to the elastic scattering problems and the axisymmetric scatterers in R3.

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References

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Authors and Affiliations

  1. Université de Technologie de Compiègne, B.P. 20.529, 60205, Compiègne Cedex, France

    Ha-Duong Tuong

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  1. Ha-Duong Tuong
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Guy Chavent Pierre C. Sabatier

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© 1997 Springer-Verlag

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Tuong, HD. (1997). Generalizations of Karp’s theorem to elastic scattering theory. 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/BFb0105768

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  • DOI: https://doi.org/10.1007/BFb0105768

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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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