QZ factorization for generalized eigenvalues applied to waveguide analysis

We have extended the polynomial method to a unified approach to analyze hol low conducting waveguides of arbitrary cross section. It was found suitable only for lower order modes due to the singular matrix problem when the sta ndard eigenvalue algorithm is used. In this paper, the QZ factorization for generalized eigenvalues is employed to overcome this drawback. The normali zed cutoff wavelengths of the first 100 modes in the elliptic waveguides wi th different ellipticities are obtained using the present method and are co mpared with those of the analytic method. Excellent agreements are observed . (C) 2001 John Wiley & Sons, Inc.