Complex transmission-line network analysis

A method is given for reducing a complex transmission line network to a conventional transmission line circuit, thus permitting the application of the ordinary equations for such circuits. A number of theorems are enunciated concerning the currents in co-axial and balanced transmission lines and on their shields, and from these theorems the currents flowing in the lines are determined and the equivalent circuits obtained. The method is applied to the analysis of a shielded loop with a break in the shield at the mid-point of the loop and also to a complex network joining two transmission lines of the same surge impedance.