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In this work we study the behavior of the allowed frequencies in the dual transmission line when the values of capacitances are distributed according to a disordered sequence with long-range correlation. For each frequency ω we use the Lyapunov exponent λ(ω) as a tool to discriminate between a transmitting line and a filtering one. When the dual line has a periodic distribution of capacitances, a typical scheme of permitted bands and forbidden bands (gaps) appears. For the random case every signal is filtered. In this article we analyze the effect of long-range correlation, concluding that two cases can appear, depending on the kind of correlation used: a) there exist only a finite number of specific frequencies for which the signal is propagated, or b) there is a continuous band of propagating frequencies. The appearing of continuous bands is a very important result, since the existence of correlated disorder is a condition necessary but not sufficient to the appearing of propagating frequencies. Understanding the mechanisms that describe the transition from a forbidden frequency to an allowed frequency opens the possibility of manufacturing electronic devices where this transition is relevant.

GENERACIÓN DE BANDAS DE FRECUENCIAS PERMITIDAS EN LÍNEAS DE TRANSMISIÓN DUAL CON CORRELACIÓN DE LARGO ALCANCE EN EL DESORDEN