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Ingeniare. Revista chilena de ingeniería

versión On-line ISSN 0718-3305

Resumen

LAZO, Edmundo. GENERATION OF ALLOWED FREQUENCY BANDS IN DUAL TRANSMISSION LINE WITH CORRELATION OF LONG-RANGE IN THE DISORDER. Ingeniare. Rev. chil. ing. [online]. 2008, vol.16, n.3, pp.438-449. ISSN 0718-3305.  http://dx.doi.org/10.4067/S0718-33052008000300007.

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.

Palabras clave : Transmission lines; correlated disorder; Lyapunov exponent.

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