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Geometrical Transformations for Numerical Modelling and for New Material Design in Photonics

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Book cover Metamaterials and Plasmonics: Fundamentals, Modelling, Applications

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Abstract

This paper is a review of various techniques used in computational electromagnetism such as the treatment of leaky modes in waveguides, helicoidal geometries for microstructured optical fibres and the design of arbitrarily shaped invisibility cloaks. This seemingly heterogeneous list is unified by the concept of geometrical transformation that leads to equivalent materials, i.e., the change of coordinates is completely encapsulated in the material properties. The practical set up is conveniently made via the finite element method (FEM).

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Author information

Authors and Affiliations

  1. Institut Fresnel (UMR CNRS 6133) - Aix-Marseille Université, Domaine Universitaire de Saint-Jérôme, Marseille cedex 20, F13397, France

    André Nicolet, Frédéric Zolla & Yacoub Ould Agha

  2. Department of Mathematical Sciences, University of Liverpool, Peach Street, Liverpool, L69 3BX, UK

    Sébastien Guenneau

Authors
  1. André Nicolet
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  2. Frédéric Zolla
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  3. Yacoub Ould Agha
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  4. Sébastien Guenneau
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Corresponding author

Correspondence to André Nicolet .

Editor information

Editors and Affiliations

  1. University Paris Sud, Orsay, France

    Saïd Zouhdi

  2. Helsinki University of Technology, Espoo, Finland

    Ari Sihvola

  3. Russian Academy of Sciences, Moscow, Russia

    Alexey P. Vinogradov

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Nicolet, A., Zolla, F., Agha, Y.O., Guenneau, S. (2009). Geometrical Transformations for Numerical Modelling and for New Material Design in Photonics. In: Zouhdi, S., Sihvola, A., Vinogradov, A.P. (eds) Metamaterials and Plasmonics: Fundamentals, Modelling, Applications. NATO Science for Peace and Security Series B: Physics and Biophysics. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-9407-1_4

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  • DOI: https://doi.org/10.1007/978-1-4020-9407-1_4

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-1-4020-9406-4

  • Online ISBN: 978-1-4020-9407-1

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