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About optical localization in photonic quasicrystals

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Abstract

We employ the two stage cut and project scheme to generate a dodecagonal two-dimensional quasiperiodic structure. The finite-differences-time-domain method is applied to simulate the propagation of electromagnetic modes in the system. We compute the transmission coefficients as well as the inverse participation ratio for a quasicrystal consisting of dielectric cylindrical rods. We find that for a small crystal the band gap forms due to destructive interference between extended states. The quasiperiodic geometry exhibits modes with enhanced transmission coefficients. The inverse participation ratio analysis indicates that these modes are localized and that the localization length is estimated to be 0.3207 in the inverse units of a lattice characteristic length scale.

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Acknowledgments

The authors would like to thank the National Research Foundation (NRF) and the Department of Science and Technology (DST) for financial support.

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Authors and Affiliations

  1. School of Physics, University of the Witwatersrand, Johannesburg, South Africa

    Faris Mohammed & Alexander Quandt

  2. Materials for Energy Research Group, University of the Witwatersrand, Johannesburg, South Africa

    Faris Mohammed & Alexander Quandt

  3. DST-NRF Centre of Excellence in Strong Materials, University of the Witwatersrand, Johannesburg, South Africa

    Alexander Quandt

Authors
  1. Faris Mohammed
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  2. Alexander Quandt
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Correspondence to Faris Mohammed.

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This article is part of the Topical Collection on Optical Wave and Waveguide Theory and Numerical Modelling, OWTNM’ 15.

Guest edited by Arti Agrawal, B.M.A. Rahman, Tong Sun, Gregory Wurtz, Anibal Fernandez and James R. Taylor.

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Mohammed, F., Quandt, A. About optical localization in photonic quasicrystals. Opt Quant Electron 48, 380 (2016). https://doi.org/10.1007/s11082-016-0648-1

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  • DOI: https://doi.org/10.1007/s11082-016-0648-1

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