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Dynamics and stability of a laser system with second-order nonlinearity
Optics Letters
|May 1, 1997
Summary
This study investigates laser system stability using a multimode rate-equation model, focusing on Hopf bifurcation. Experimental results confirm the predicted temporal behavior of sum-frequency generation in nonlinear optical systems.
Area of Science:
- Nonlinear optics
- Laser physics
- Quantum optics
Background:
- Intracavity frequency-doubled lasers exhibit complex dynamics.
- Understanding laser stability is crucial for applications.
- Second-order nonlinearity plays a key role in laser behavior.
Purpose of the Study:
- Investigate the stability of a laser system with second-order nonlinearity.
- Analyze the Hopf bifurcation in relation to conversion efficiency.
- Provide theoretical expressions for the stability curve.
- Experimentally confirm predicted temporal behavior of sum-frequency generation.
Main Methods:
- Utilized a multimode rate-equation model.
- Varied conversion efficiency from fundamental frequencies to their sum.
- Compared results with existing literature on intracavity frequency-doubled lasers.
- Performed experimental validation of theoretical predictions.
Main Results:
- Identified a Hopf bifurcation between stable states and oscillations.
- Derived two simple expressions for the stability curve based on material and cavity parameters.
- Observed experimental confirmation of the predicted temporal dynamics of sum-frequency generation.
Conclusions:
- The multimode rate-equation model accurately describes laser system stability.
- Hopf bifurcation is a critical phenomenon influenced by conversion efficiency.
- Theoretical predictions regarding sum-frequency generation are experimentally validated.
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