State-space approach for the analysis of networks containing lossy coupled transmission lines in inhomogeneous media

A general and powerful technique for the analysis of networks containing lossy coupled transmission lines in inhomogeneous media is presented. The technique is suitable for computer-aided procedures and no restrictions on network topology are required. Good agreement was found between measured and calculated responses. One of the applications of the derived equations for lossy lines is the design of microstrip circuits on semiconductor substrates. The effect of varying the substrate resistivity has been investigated.