Complex networks based on discrete-mode lasers

Abstract

Abstract. We propose a method to combine a number of discrete-mode lasers to construct a complex network with a nontrivial topology. The topological properties of this network are only encoded in the selection of the active modes for each laser, while the optical fibre coupling between the lasers is trivial. In a very simplified model of this network, we establish the stability of the fixed point with all lasing modes switched on.

Complex photonics: Dynamics and applications of delay-coupled semiconductors lasers

“…A different concept for the realization of complex laser networks was proposed by Amann et al (2008), based on two-mode Fabry-Perot lasers (Osborne et al, 2007). By spatially varying the refractive index of a Fabry-Perot laser diode, Osborne et al (2007) could tailor the spectrum of the laser diode to realize two-color lasers with predetermined lasing modes.…”

Chaos and Synchronization in Delayed System : Applications to Laser Networks

“…Recently, this coupling scheme has been proposed for optical information processing using multi-mode lasers [1]. For multi-mode lasers, the same argument as above holds for each mode, such that the setup is, in principle, robust to phase mismatches.…”

“…On the other hand, laser networks have been proposed as optical information processing systems [1,2]. Understanding stability properties of dynamical states in these networks is a necessary first step for controlling and utilizing these systems.…”

Chaos synchronization in networks of delay-coupled lasers: role of the coupling phases

“…We will, however, obtain a formula for u below. We now further discuss the row sum condition equation (40) and aim to eliminate the relative phase shift u. The calculation is similar to that performed for motif (c), only more (46)).…”