Small-world networks of optical fiber lattices

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 $\rho \approx 0.25$ 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.

References in corpus (2)

• Phase transition of light on complex quantum networks
• Expansion of a wave-packet in lattices with disorder and nonlinearity

Cited by in corpus (5)

• Complex Quantum Networks: a Topical Review
• Complex active optical networks as a new laser concept
• The LANER: optical networks as complex lasers
• Extreme waves and branching flows in optical media
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