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Reconstruction of Dielectric Constants in a Cylindrical Waveguide

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Inverse Problems and Applications

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 120))

Abstract

We present the model of reconstruction of two constant complex dielectrics in a cylindrical waveguide using frequency domain measurements at the one point of a waveguide. We formulate two gradient-like methods to reconstruct these coefficients and present numerical examples showing performance of reconstruction.

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References

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Acknowledgments

This research was supported by the Swedish Research Council, the Swedish Foundation for Strategic Research (SSF) through the Gothenburg Mathematical Modelling Centre (GMMC). The authors are grateful to P.-S. Kildal, Z. Sipus, and J. Yang for fruitful discussions.

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Authors and Affiliations

  1. Department of Mathematical Sciences, Chalmers University of Technology and Gothenburg University, SE-42196, Gothenburg, Sweden

    Larisa Beilina

  2. FMC Kongsberg subsea, AS, Norway

    Anders Eriksson

Authors
  1. Larisa Beilina
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  2. Anders Eriksson
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Corresponding author

Correspondence to Larisa Beilina .

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Editors and Affiliations

  1. Department of Mathematical Sciences, Chalmers University of Technology Gothenburg University, Gothenburg, Sweden

    Larisa Beilina

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Beilina, L., Eriksson, A. (2015). Reconstruction of Dielectric Constants in a Cylindrical Waveguide. In: Beilina, L. (eds) Inverse Problems and Applications. Springer Proceedings in Mathematics & Statistics, vol 120. Springer, Cham. https://doi.org/10.1007/978-3-319-12499-5_7

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