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Synchronization and time shifts of dynamical patterns for mutually delay-coupled fiber ring lasers
Leah B Shaw1, Ira B Schwartz, Elizabeth A Rogers
1Nonlinear Systems Dynamics Section, Plasma Physics Division, US Naval Research Laboratory, Code 6792, Washington, DC 20375, USA.
Chaos (Woodbury, N.Y.)
|April 8, 2006
Summary
This study explores coupled fiber laser synchronization, finding that stronger coupling increases synchronization. Leader-follower dynamics switch frequently, with switching rates rising with coupling strength in these spatiotemporal systems.
Area of Science:
- Nonlinear dynamics
- Optics and photonics
- Complex systems
Background:
- Coupled spatiotemporal systems exhibit complex dynamics.
- Erbium-doped fiber ring lasers offer a platform for studying coupled systems.
- Synchronization phenomena are crucial in understanding system behavior.
Purpose of the Study:
- To investigate synchronization dynamics in a pair of mutually coupled erbium-doped fiber ring lasers.
- To compare experimental findings with a delay differential equation model.
- To analyze both amplitude and phase synchronization, including leader-follower behavior.
Main Methods:
- Experimental setup with mutually coupled fiber ring lasers.
- Development of a delay differential equation model with added noise.
- Utilizing the Hilbert transform for phase synchronization analysis.
- Algorithm development to identify leader-follower switching.
Main Results:
- Synchronization increases with coupling strength in both experiments and models.
- Approximately equal synchronization observed when time-shifting by the coupling delay.
- Leader-follower switching is frequent and increases with coupling strength.
Conclusions:
- Coupling strength significantly influences synchronization and leader-follower dynamics.
- The developed model accurately captures experimental synchronization behavior.
- Understanding leader-follower switching is key to characterizing coupled laser systems.
