ASIA unversity:Item 310904400/9517
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    Please use this identifier to cite or link to this item: http://asiair.asia.edu.tw/ir/handle/310904400/9517


    Title: A Matrix Method for Studying TM Modes of Optical planar Waveguides with Arbitrary Index Profiles
    Authors: C.S.Hsiao
    Keywords: Eigenvalues;eigenvectors;Fourier series;matrix method;planar waveguides;TM modes
    Date: 2001-12
    Issue Date: 2010-05-12 01:11:49 (UTC+0)
    Publisher: Asia University
    Abstract: Application of a previously proposed matrix method (which can only be used for TE mode solutions) to studying the wave characteristics of TM modes is described. To derive the matrix
    equation for TM-mode solutions of slab waveguides, the gradient of a continuous field is defined as the sum of a continuous function and a stepwise function so that boundary conditions are satisfied. By expanding both the index profile and mode field distribution
    into a truncated Fourier series, a particular matrix equation for determining mode indices and mode field distributions is obtained. Such a matrix equation can be generalized asBX = 2X,
    where B is a constant matrix, is the propagation constant, and the vector accounts for the mode field distribution. Wave characteristics of TM modes of slab waveguides with arbitrary index
    profiles can thus be obtained following the solution of a linear algebra problem in a way similar to that for studying TE modes. The matrixBhere, however, as indicated by this work, is different from that for TE mode solutions. Also, it is pointed out in this paper that the matrix B for TM-mode solutions has a different form as a different kind of waveguide is considered. Numerical results presented herein show that a sufficiently high accuracy can be obtained
    by using the proposed method.
    Relation: IEEE Journal of Quantum Electronics 37(12): 1654-1660
    Appears in Collections:[Department of Photonics and Communication Engineering] Journal Article

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