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Low-frequency fluctuations in the Lang-Kobayashi equations.
1Optique Nonlinaire Theorique, Universit Libre de Bruxelles, Campus Plaine Code Postal 231, B-1050 Bruxelles, Belgium.
Summary
This study simplifies the Lang-Kobayashi equations to analyze laser dynamics. It reveals that low-frequency fluctuations arise from unstable steady states in bistable laser systems.
Area of Science:
- Nonlinear dynamics
- Laser physics
- Optical engineering
Background:
- The Lang-Kobayashi equations model the dynamics of semiconductor lasers with external optical feedback.
- Understanding complex dynamics like low-frequency fluctuations (LFF) is crucial for laser stability and applications.
Purpose of the Study:
- To simplify the Lang-Kobayashi equations for analyzing long-delay-time dynamics.
- To investigate the origins of low-frequency fluctuations (LFF) in bistable laser systems.
Main Methods:
- Local analysis of the Lang-Kobayashi equations in the long-delay-time limit.
- Focus on a single mode-antimode pair.
- Analysis of dynamics within the hysteresis domain between steady states.
Main Results:
- Simplification reveals LFF in regions of bistability with unstable steady states.
- High-frequency oscillations correlate with dynamics near unstable upper steady states.
- Drop-offs in LFF correspond to dynamics near unstable lower steady states.
Conclusions:
- The study provides a simplified framework for understanding complex laser dynamics.
- Unstable steady states play a critical role in generating LFF in bistable lasers.
- The findings offer insights into controlling and predicting laser behavior under optical feedback.