Generation of intermediate states in diluted disordered direct transmission lines

In this work we study the localization properties of direct electric transmission lines diluted by a symmetric function. We dilute disordered (correlated and non-correlated) transmission lines, and as a result we obtain a discrete set of extended states. We show that this set of resonance frequencies is independent of the kind of disorder as well as from the degree of long-range correlation of the disordered system. We study random and long-range correlated distribution of inductances. The long-range correlated sequences are generated by the Fourier filtering method and by the Ornstein–Uhlenbeck process. In addition, we show that in each one of the resonant frequencies, the extended states behave as intermediate states, else, for ω>ωcω>ωc the electric current function Ij(ω)Ij(ω) begins to localize through an intermediate behavior.