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QZ Factorization for generalized eigenvalues applied to waveguide analysis
Author(s) -
Lin ShengLi,
Li LeWei,
Yeo TatSoon,
Leong MookSoon
Publication year - 2001
Publication title -
microwave and optical technology letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.304
H-Index - 76
eISSN - 1098-2760
pISSN - 0895-2477
DOI - 10.1002/1098-2760(20010305)28:5<361::aid-mop1041>3.0.co;2-3
Subject(s) - factorization , eigenvalues and eigenvectors , waveguide , physics , computer science , mathematics , electronic engineering , algorithm , engineering , optics , quantum mechanics
We have extended the polynomial method to a unified approach to analyze hollow conducting waveguides of arbitrary cross section. It was found suitable only for lower order modes due to the singular matrix problem when the standard eigenvalue algorithm is used. In this paper, the QZ factorization for generalized eigenvalues is employed to overcome this drawback. The normalized cutoff wavelengths of the first 100 modes in the elliptic waveguides with different ellipticities are obtained using the present method and are compared with those of the analytic method. Excellent agreements are observed. © 2001 John Wiley & Sons, Inc. Microwave Opt Technol Lett 28: 361–364, 2001.