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Inverse Problems in Engineering Mechanics pp 201–212Cite as

Shape Determination of a Scattering Obstacle by Eigenfunction Expansion Embedding Integral Method

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Summary

The inverse scattering problem for acoustic waves to recover the shape of a scatterer from the far-field pattern of the scattered field is concerned. A method for solving the problem by the embedding integral equation in eigenfunction expansion form is presented. The method is applied to sound soft obstacles, and recovered shapes are obtained numerically for some examples. The results show that the method recovers the obstacle shape well. The method of near field reproduction is also applied to hard obstacles.

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References

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Author information

Authors and Affiliations

  1. Faculty of Engineering, Fukui University, 3-9-1 Bunkyo, Fukui 910, Japan

    Takuo Fukui

Authors
  1. Takuo Fukui
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Editors and Affiliations

  1. Department of Mechanical Systems Engineering, Faculty of Engineering, Shinshu University, 500 Wakasato, Nagano 380, Japan

    Masataka Tanaka

  2. Laboratoire de Mécanique des Solides, École Polytechnique, 91128, Palaiseau, France

    Huy Duong Bui

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© 1993 Springer-Verlag Berlin Heidelberg

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Fukui, T. (1993). Shape Determination of a Scattering Obstacle by Eigenfunction Expansion Embedding Integral Method. In: Tanaka, M., Bui, H.D. (eds) Inverse Problems in Engineering Mechanics. International Union of Theoretical and Applied Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-52439-4_20

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  • DOI: https://doi.org/10.1007/978-3-642-52439-4_20

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-52441-7

  • Online ISBN: 978-3-642-52439-4

  • eBook Packages: Springer Book Archive

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