Formation of optimal-order necklace modes in one-dimensional random photonic superlattices
Abstract
We study the appearance of resonantly coupled optical modes, optical necklaces, in Anderson localized one-dimensional random superlattices through numerical calculations of the accumulated phase. The evolution of the optimal necklace order m* shows a gradual shift towards higher orders with increasing the sample size. We derive an empirical formula that predicts m* and discuss the situation when in a sample length L the number of degenerate in energy resonances exceeds the optimal one. We show how the extra resonances are pushed out to the miniband edges of the necklace, thus reducing the order of the latter by multiples of two.
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