Localized patterns in star networks of Class B lasers with optoelectronic feedback

TL;DR

This paper investigates how star network topology influences the dynamics of coupled Class B CO2 lasers with optoelectronic feedback, revealing various localized and spreading activation patterns driven by the coupling structure.

Contribution

It demonstrates the emergence of diverse activation patterns in laser networks with star topology, highlighting the role of coupling structure in shaping laser dynamics.

Findings

Activation spreading from periphery to center observed.

Pinned activation localized in center or periphery.

System can transition from passive to active states.

Abstract

We analyze how a star network topology shapes the dynamics of coupled CO\textsubscript{2} lasers with an intracavity electro-optic modulator that exhibit bistability. Such a network supports spreading and stationary activation patterns. In particular, we observe an activation spreading where the activated periphery turns on the center element, an activated center which drifts the periphery into the active region and an activation of the whole system from the passive into the active region. Pinned activation, namely activation localized only in the center or the peripheral elements is also found. Similar dynamical behavior has been observed recently in complex networks of coupled bistable chemical reactions. The current work aims at revealing those phenomena in laser arrays, giving emphasis on the essential role of the coupling structure in fashioning the overall dynamics.