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PIER PIER B PIER C PIER M PIER Letters
2012-03-20
Influence of Fluctuations of the Geometrical Parameters on the Photonic Band Gaps in One-Dimensional Photonic Crystals
By
Vladimir A. Tolmachev,

    Dr. Vladimir A. Tolmachev

    Ioffe Physical Technical Institute

    Russia

    Homepage

Аnna V. Baldycheva,

    Dr. Аnna V. Baldycheva

    Department of Electronic and Electrical Engineering

    Trinity College Dublin

    Ireland

    Homepage

Kevin Berwick,

    Dr. Kevin Berwick

    Dublin Inst Technol

    Ireland

    Homepage

Tatiana S. Perova

    Dr. Tatiana S. Perova

    Electronic and Electrical Engineering

    Univ Dublin Trinity Coll

    Ireland

    Homepage

Progress In Electromagnetics Research, Vol. 126, 285-302, 2012
doi:10.2528/PIER12020109
Abstract
The influence of random fluctuations in the layer thicknesses in high contrast, one-dimensional Photonic Crystals (PCs) on the transmission spectra and Photonic Band Gaps (PBGs) is investigated. The change in the PBGs depends on the magnitude of the fluctuations and increases with an increase in the order of the PBG. Introducing thickness non-uniformity into the PC of up to 0.004 times the value of lattice constant for different types of fluctuation distributions has a negligible effect on either the position or the shape of the 1st and nearest PBGs. The approach suggested here allows the determination of the tolerances required in the geometrical parameters of PCs during fabrication. It also allows the optimisation of PC structures using high order PBGs.
Citation
Vladimir A. Tolmachev, Аnna V. Baldycheva, Kevin Berwick, and Tatiana S. Perova, "Influence of Fluctuations of the Geometrical Parameters on the Photonic Band Gaps in One-Dimensional Photonic Crystals," Progress In Electromagnetics Research, Vol. 126, 285-302, 2012.
doi:10.2528/PIER12020109
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