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Preset Field Approximation and Self-consistent Analysis of the Scattering and Generation of Oscillations by a Layered Structure

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Inverse Problems and Large-Scale Computations

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 52))

Abstract

Nonlinear dielectrics with controllable permittivity are subject of intense studies and begin to find broad applications, for instance in device technology and electronics. Based on a model of resonance scattering and generation of waves on an isotropic nonmagnetic nonlinear layered dielectric structure which is excited by a packet of plane waves, we compare two numerical algorithms for simulating various effects of the fields at multiple frequencies.

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References

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Acknowledgements

This work was partially supported by the Visby Program of the Swedish Institute and by the joint Russian–Ukrainian RFBR-NASU grant no. 12.02.90425-2012.

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Authors and Affiliations

  1. Institut für Mathematik, Technische Universität Clausthal, Erzstr. 1, 38678, Clausthal-Zellerfeld, Federal Republic of Germany

    Lutz Angermann

  2. O.Ya. Usikov Institute for Radiophysics and Electronics of the National Academy of Sciences of Ukraine, 12 Ac. Proskura Str., Kharkov, 61085, Ukraine

    Vasyl V. Yatsyk

  3. Kharkov National University of Radioelectronics, 14 Lenina Str., Kharkov, 61166, Ukraine

    Mykola V. Yatsyk

Authors
  1. Lutz Angermann
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  2. Vasyl V. Yatsyk
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  3. Mykola V. Yatsyk
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Corresponding author

Correspondence to Lutz Angermann .

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Editors and Affiliations

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

    Larisa Beilina

  2. Karlstad University, Karlstad, Sweden

    Yury V. Shestopalov

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Angermann, L., Yatsyk, V.V., Yatsyk, M.V. (2013). Preset Field Approximation and Self-consistent Analysis of the Scattering and Generation of Oscillations by a Layered Structure. In: Beilina, L., Shestopalov, Y. (eds) Inverse Problems and Large-Scale Computations. Springer Proceedings in Mathematics & Statistics, vol 52. Springer, Cham. https://doi.org/10.1007/978-3-319-00660-4_4

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