Abstract
In strongly disordered systems, where Anderson localization is present, the mean transmittance (<<i>T</i>>) decays exponentially on average with increasing sample size. However, <<i>T</i>> often shows large fluctuations originating from extremely rare occurrences of necklaces of resonantly coupled states, possessing almost unity transmission. We show in this study that in one-dimensional (1D) random photonic systems with resonant layers these fluctuations appear to be very regular and have a period defined by the localization length ξ of the system. We demonstrate that necklace states are the origin of these well-defined oscillations. We predict that in such a random system efficient transmission channels form regularly each time the increasing sample length fits so-called optimal-order necklaces and demonstrate the phenomenon through numerical experiments. Our results provide new insight into the physics of Anderson localization in random systems with resonant units.
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