Disordered mixed transmission lines: localization behavior

摘要

.We introduce a new type of transmission line: the mixed transmission line. This system is formed by the repetition of a set of p successive direct cells followed by q successive dual cells. The total number of cells N of the complete system arises from N=dNs, where Ns is the number of recurrence pattern and d=(p+q) number of cells forming the basic unit of the mixed transmission lines. Our model allows introducing the disorder in any component of the dual or direct cells of the mixed transmission line. We study the localization behavior of this new model by introducing two different non-periodic distributions on the values of Ln,y inductances of dual cells, namely the Aubry-Andre and the Fibonacci models. For random and non-periodic distributions of Ln,y values, states were allowed to appear only inside a set of d=(p+q) sub-bands separated by gaps in the frequency range. We study the localization behavior for the p>q and q>p cases. For p>q (greater number of direct cells than dual cells), the d sub-bands are distributed more evenly in a reduced range of frequencies compared to p