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http://dx.doi.org/10.5573/ieie.2014.51.7.142

A Study on Eigen-properties of a 3-Dim. Resonant Cavity by Krylov-Schur Iteration Method  

Kim, Yeong Min (Dept. of Elecronic Physics, Kyonggi University)
Lim, Jong Soo (Dept. of Elecronic Physics, Kyonggi University)
Publication Information
Journal of the Institute of Electronics and Information Engineers / v.51, no.7, 2014 , pp. 142-148 More about this Journal
Abstract
Krylov-Schur iteration method has been applied to the 3-Dim. resonant cavity of a cylindrical form. The vector Helmholtz equation has been analysed for the resonant field strength in homogeneous media by FEM. An eigen-equation has been constructed from element equations basing on tangential edges of the tetrahedra element. This equation made up of two square matrices associated with the curl-curl form of the Helmholtz operator. By performing Krylov-Schur iteration loops on them, Eigen-values and their modes have been determined from the diagonal components of the Schur matrices and its transforming matrices. Eigen-pairs as a result have been revealed visually in the schematic representations. The spectra have been compared with each other to identify the effect of boundary conditions.
Keywords
eigen-pair; Krylov-Schur; FEM; Arnoldi decomposition; QR algorithm; unitary transform;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
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