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http://dx.doi.org/10.5573/ieek.2013.50.11.028

A Study On The Eigen-properties of A 2-D Square Waveguide by the Krylov-Schur Iteration Method  

Kim, Yeong Min (Dept. of Elecronic Physics, Kyonggi University)
Kim, Dongchool (Dept. of Physics, Kyonggi University)
Lim, Jong Soo (Dept. of Elecronic Physics, Kyonggi University)
Publication Information
Journal of the Institute of Electronics and Information Engineers / v.50, no.11, 2013 , pp. 28-35 More about this Journal
Abstract
The Krylov-Schur algorithm has been applied to reveal the eigen-properties of the wave guide having the square cross section. The eigen-matrix equation has been constructed from FEM with the basis function of the tangential edge-vectors of the triangular element. This equation has been treated firstly with Arnoldi decomposition to obtain a upper Hessenberg matrix. The QR algorithm has been carried out to transform it into Schur form. The several eigen values satisfying the convergent condition have appeared in the diagonal components. The eigen-modes for them have been calculated from the inverse iteration method. The wanted eigen-pairs have been reordered in the leading principle sub-matrix of the Schur matrix. This sub-matrix has been deflated from the eigen-matrix equation for the subsequent search of other eigen-pairs. These processes have been conducted several times repeatedly. As a result, a few primary eigen-pairs of TE and TM modes have been obtained with sufficient reliability.
Keywords
FEM; Krylov-Schur method; Arnoldi decomposition; QR algorithm; inverse iteration metho;
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