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arXiv · 1401.2321

Small-world networks of optical fiber lattices

F. Perakis·M. Mattheakis·G. P. Tsironis
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Abstract

We use a simple dynamical model and explore coherent dynamics of wavepackets in complex networks of optical fibers. We start from a symmetric lattice and through the application of a Monte-Carlo criterion we introduce structural disorder and deform the lattice into a small-world network regime. We investigate in the latter both structural (correlation length) as well as dynamical (diffusion exponent) properties and find that both exhibit a rapid crossover from the ordered to the fully random regime. For a critical value of the structural disorder parameter $ρ\approx 0.25$ transport changes from ballistic to sub-diffusive due to the creation strongly connected local clusters and channels of preferential transport in the small world regime.

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F. Perakis, M. Mattheakis, G. P. Tsironis. 2014-08-08. Small-world networks of optical fiber lattices. https://doi.org/10.1088/2040-8978%2F16%2F10%2F102003

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