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Determination of Permittivity from Propagation Constant Measurements in Optical Fibers

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Inverse Problems and Applications

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

Abstract

We present a new method for determination of dielectric permittivity constant using measurements of fundamental mode of propagation constant in optical fiber’s. We first solve the forward spectral problem to compute the dispersion curve for the fundamental mode. Then using this curve we present an effective and accurate spline-collocation method for calculation of permittivity.

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Acknowledgments

This work was funded by the subsidy allocated to Kazan Federal University for the state assignment in the sphere of scientific activities; the work was supported also by RFBR and by Government of Republic Tatarstan, grant 12-01-97012-r_povolzh’e_a. The research of Larisa Beilina was supported by the Swedish Research Council, the Swedish Foundation for Strategic Research (SSF) through the Gothenburg Mathematical Modelling Centre (GMMC) and by the Swedish Institute, Visby Program.

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Authors and Affiliations

  1. Department of Applied Mathematics, Kazan (Volga Region) Federal University, Kremlevskaya 18, 420008, Kazan, Russia

    Evgenii Karchevskii & Alexandr Spiridonov

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

    Larisa Beilina

Authors
  1. Evgenii Karchevskii
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  2. Alexandr Spiridonov
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  3. Larisa Beilina
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Editor information

Editors and Affiliations

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

    Larisa Beilina

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Karchevskii, E., Spiridonov, A., Beilina, L. (2015). Determination of Permittivity from Propagation Constant Measurements in Optical Fibers. 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_4

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