Analysis of coupled nonuniform transmission lines using Taylor's series expansion

A new method is introduced for the frequency domain analysis of arbitrarily loaded lossy and dispersive nonuniform coupled transmission lines. We assume that the per-unit-length matrices are known and can be expressed by a converged Taylor's series. All known per-unit-length matrices, as well as the voltages and currents, are expanded in Taylor's series. The solutions of voltages and currents are obtained after finding the unknown coefficients of the series. The validity of the method is verified using the analysis of some special kinds of coupled lines