Abstract
In the analysis of weakly coupled electromagnetic systems, consisting of several identical equidistant components, the coupling matrix is often approximated by tridiagonal Toeplitz matrices, whose eigenvalues and eigenvectors can be determined in closed-form. The theory of tridiagonal Toeplitz matrices is not new, it can be found in several linear algebra articles and math books, but its presentation is usually very dense and far from appealing to the electrical engineer. This paper has two goals. The first is of tutorial nature —we present a concise review of the modal analysis of tridiagonal matrices. The second goal is to call the reader’s attention to the inherent fragilities of the tridiagonal matrix approximation —we discuss and work out application examples, dealing with multiconductor transmission line systems, where the approximation is shown to clearly fail.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: International Review of Electrical Engineering (IREE)
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
