Small-world networks of optical fiber lattices
Optics
2014-09-30 v3 Disordered Systems and Neural Networks
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 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.
Keywords
Cite
@article{arxiv.1401.2321,
title = {Small-world networks of optical fiber lattices},
author = {F. Perakis and M. Mattheakis and G. P. Tsironis},
journal= {arXiv preprint arXiv:1401.2321},
year = {2014}
}