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Stochastic modeling of 2D photonic crystals

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Abstract

Due to the fabrication processes, inaccurate manufacturing of the photonic crystals (PCs) might occur which affect their performance. In this paper, we examine the effects of tolerance variations of the radii of the rods and the permittivity of the material of the two-dimensional PCs on their performance. The presented stochastic analysis relies on plane wave expansion method and Mote Carlo simulations. We focus on two structures, namely Si-Rods PCs and Air-Holes PCs. Numerical results show—for both structures—that uncertainties in the dimensions of the PCs have higher impact on its photonic gap than do the uncertainties in the permittivity of the Si material. In addition, Air-Holes PCs could be a good candidate with least alteration in the photonic gap considering deviations that might occur in the permittivity of Si due to impurities up to 5%.

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Authors and Affiliations

  1. Department of Engineering Math and Physics, Faculty of Engineering, Cairo University, Giza, 12613, Egypt

    Mohamed I. Wafa, Yasser M. El-Batawy & Sahar A. El-Naggar

  2. Nanoelectronics Integrated Systems Center, Nile University, Giza, 12588, Egypt

    Mohamed I. Wafa & Yasser M. El-Batawy

Authors
  1. Mohamed I. Wafa
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  2. Yasser M. El-Batawy
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  3. Sahar A. El-Naggar
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Correspondence to Yasser M. El-Batawy.

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Wafa, M.I., El-Batawy, Y.M. & El-Naggar, S.A. Stochastic modeling of 2D photonic crystals. Opt Quant Electron 53, 261 (2021). https://doi.org/10.1007/s11082-021-02914-y

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  • DOI: https://doi.org/10.1007/s11082-021-02914-y

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