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Competing Turing and Faraday Instabilities in Longitudinally Modulated Passive Resonators
François Copie1, Matteo Conforti1, Alexandre Kudlinski1
1Univ. Lille, CNRS, UMR 8523-PhLAM-Physique des Lasers Atomes et Molécules, F-59000 Lille, France.
Physical Review Letters
|April 23, 2016
Summary
We explored how Turing and Faraday instabilities interact in a nonlinear resonator. This competition creates novel switching dynamics and pattern formation, impacting bistable behavior.
Area of Science:
- Nonlinear optics
- Optical resonators
- Instability dynamics
Background:
- Bistable passive nonlinear resonators exhibit complex dynamics.
- Turing (modulational) and Faraday (parametric) instabilities are key phenomena in such systems.
- Understanding their interplay is crucial for controlling optical switching and pattern formation.
Purpose of the Study:
- To experimentally investigate the interplay between Turing and Faraday instabilities in a bistable passive nonlinear resonator.
- To analyze how the competition between these instabilities affects bistable switching dynamics.
- To identify novel scenarios arising from this interaction.
Main Methods:
- Experimental setup involving a bistable passive nonlinear resonator.
- Induction of Faraday instability via parametric resonance by modulating resonator dispersion.
- Observation and analysis of switching dynamics and pattern formation under varying detunings.
Main Results:
- Demonstrated that the competition between Turing and Faraday instabilities dramatically affects bistable switching.
- Identified two novel scenarios: switching between stable lower and Faraday-unstable upper branches at low detunings.
- Observed crossover between Turing and Faraday periodic structures at high detunings.
Conclusions:
- The interplay of Turing and Faraday instabilities dictates novel switching and pattern formation in bistable resonators.
- Results are consistent with the universal Lugiato-Lefever model.
- This research provides insights into controlling complex dynamics in nonlinear optical systems.
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