Rigorous Calculation of Guided Modes in Photonic Crystal Waveguides and Contriving Homogenized Models

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Habibi, Nasim | 2010

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Type of Document: M.Sc. Thesis
Language: Farsi
Document No: 42485 (05)
University: Sharif University of Technology
Department: Electrical Engineering
Advisor(s): Mehrany, Khashayar
Abstract:
In this thesis an approximate method is proposed for analysis of two dimensional photonic crystal waveguides. In this method an equivalent impedance is assigned to photonic crystal regions and the waveguide region is modeled with a transmission line. Waveguide’s loss is also analysed and computed by this method. In other words the proposed method is able to determine the complex propagation constant of guided modes without computing any complex roots for dispersion equation. Although like any other approximate method, the accuracy of this method is dependent to some special conditions but it’s advantage over other numerical methods is its simplicity and its capability for waveguide designs. In this thesis another method is also proposed for analysis of photonic crystal slab waveguides. These waveguides are not uniform in any direction and three dimensional methods are needed for their analysis. Here we find an approximation for their propagation constant by solving an equivalent two dimensional waveguide and assigning an effective index to the slab
Keywords:
Photonic Crystal ; Waveguides ; Equivalent Impedance ; Photonic Crystal Slab ; Power Transmission Line

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