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    Title: A New Computational Method for Quasi-TE Mode Effective Index in Rib Waveguides
    Authors: Chin-Sung Hsiao
    Contributors: Department of computer and communication,Asia University
    Keywords: fourier consine series expansion;rib waveguideeigenmode equation;closed-form solutionnewton-raphson algorithm
    Date: 2007-01
    Issue Date: 2009-10-13 14:58:15 (UTC+8)
    Publisher: Asia University
    Abstract: In this paper, we propose a new numerical method for solving a rib waveguide TE-mode problem.
    In the proposed method, the cross-section of the waveguide is divided into several regions and the
    refractive index profile and field distribution in each region are expanded into Fourier cosine series, and
    then are substituted in the wave equation. A second-order differential matrix equation is derived with a
    closed-form solution obtainable. Finally, with the boundary conditions being used, an eigenmode
    equation can be derived and solved numerically to give the modal indices. Here, the proposed method
    is used to deal with a silicon dioxide based rib waveguide. Numerical results show that the presented
    method is quite efficient, in terms of CPU time, in finding the modal indices accurately. The relative
    error of the modal index with the proposed method as compared that of the commercial software
    BeamPROP is less than 10-6.
    Relation: Asian Journal of Health and Information Sciences 1(4):411-424
    Appears in Collections:[Asian Journal of Health and Information Sciences] v.1 n.4

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