Matrix theory of wave propagation in hybrid electric/magnetic multiwire transmission line systems

Abstract

Matrix methods to deal with multimodal propagation in electric multiwire transmission lines are quite well known. However, the matrix theory of magnetic multiwire transmission lines (MMTL) has been established only very recently. In this study, we advance the new subject of hybrid electric and MMTL, which has never been addressed in the literature. A complex system composed of N + 1 electric wires and n + 1 magnetic wires is theoretically analyzed from the viewpoint of their interaction/coupling, transmission line matrix equations, ABCD matrix formalism, and superposition of propagation modes.

Keywords:

• electric transmission lines
• magnetic transmission lines
• matrix methods
• multimodal propagation
• multiwire systems
• wave propagation

Acknowledgements

The Fundação para a Ciência e a Tecnologia (Ref. UID/EEA/50008/2013), and the Instituto de Telecomunicações (Project PC226), sponsored this work.

Disclosure statement

No potential conflict of interest was reported by the author.