A STUDY ON THE 3-DIM. EIGENMODE OF THE RECTANGULAR RESONANT CAVITY BY FEMJournal: International Journal of Engineering Sciences & Research Technology (IJESRT) (Vol.4, No. 9)
Publication Date: 2015-09-30
Authors : Yeong Min Kim;
Page : 8-12
Keywords : KEYWORDS: FEM; Helmhotz; tangential; tetrahedral; eigenmode; Krylov-Schur; rectangular; cavity.;
FEM has been applied to obtain the 3-dim. eigenmode of the rectangular resonant cavity. The vector Helmholtz equation has been analysed for the resonant field strength in homogeneous media. 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 equation. To obtaine the more stable result, the equation was treated with the shift-invert strategy. By performing Krylov-Schur iteration loop on the eigenequation, the matrix has been transformed into the Schur form. Eigen-values have been determined from diagonal elements of the Schur matrix. Eigen-modes were determined from the unitary similar transforming matrix of KrylovSchur iteration loop. Eigen-pairs as a result have been revealed visually in the schematic representations.
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Last modified: 2015-09-07 11:58:24