Field Theoretic Description of TEM-Waves on Lossless Multiconductor Transmission Lines

Abstract

We present a proof that an electromagnetic field is a TEM wave on a lossless multiconductor transmission line if and on ly if the a ssociated conductor voltages and currents obey the transmission line equations. A corollary of this result shows that t he flow of the Poynting v ector f ield through a c ross section of such a transmission line is equal to the sum of the products of the conductor voltages and currents. Additionally we give a proof of the relationship LC = eμE between the matrices of inductances and capacitances per length which is based on the theory of holomorphic functions.