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On the modal decomposition of n ‐coupled transmission lines
Author(s) -
Brandâo Faria J. A.
Publication year - 1997
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/(sici)1098-2760(199703)14:4<247::aid-mop16>3.0.co;2-5
Subject(s) - diagonalizable matrix , microwave , modal , matrix (chemical analysis) , product (mathematics) , decomposition , matrix decomposition , modal analysis , electric power transmission , matrix analysis , physics , computer science , mathematics , engineering , telecommunications , electrical engineering , materials science , acoustics , chemistry , symmetric matrix , quantum mechanics , eigenvalues and eigenvectors , geometry , polymer chemistry , organic chemistry , vibration , composite material
The modal circuit decomposition of n‐coupled transmission lines cannot be found whenever the product ZY turns out to be a nondiagonalizable matrix. An analysis is presented showing that such a situation may occur independently of the particular characteristics of either Z or Y; that is, we show that the nondiagonalizable product can be obtained by combining two diagonalizable matrices, by combining a nondiagonalizable matrix with a diagonalizable one, or by combining two nondiagonalizable matrices. © 1997 John Wiley & Sons, Inc. Microwave Opt Technol Lett 14: 247–249, 1997.