Two-dimensional analysis of in homogeneous passive RC-NR structures

Since direct analytic solution is not readily possible, in the 1960's RC-NR structures were analyzed by a simplified one-dimensional model for some envelope functions. In the mathematical respect a Sturm-Liouville eigen value problem had to be solved, i. e. the partial differential equation was reducible to an ordinary one. Physically, the model was an inhomogeneous RC iterated network with infinitely many terms, but the limits of application of the model were unknown. In 1971 Tanaka and Hattori(1) produced a numerical two-dimensional analysis of the hyperbolic structure from the partial differential equation and reported error up to 35% in the one-dimensional model at 3 DB frequency. A method given uses both models, but here there are inaccuracies. It is for this reason that attention is drawn once again to the fundamental relationships.