Finite-element analysis of arbitrarily shaped cavity resonators using H/sup 1/(curl) elements

We propose a finite element method together with a constraint Lanczos algorithm for analyzing arbitrarily-shaped microwave cavities. The proposed methodology is based on the use of H/sup 1//sub 0/(curl) tangential vector finite elements. Moreover, in order to solve for the generalized eigenmatrix equation efficiently, we have also developed a constrained Lanczos algorithm. Specifically, in the constrained Lanczos algorithm, we orthogonalize each new Krylov vector with respect to the spurious DC modes. Consequently, the iterative process can be used to solve for the physical resonant modes, including physical static fields, without the occurrences of any spurious DC modes.