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Analytical stability boundaries for quantum cascade lasers subject to optical feedback.
Gaetan Friart1, Guy Van der Sande2, Guy Verschaffelt2
1Université libre de Bruxelles, Optique Nonlinéaire Théorique, Campus Plaine, C.P. 231, 1050 Bruxelles, Belgium.
Physical Review. E
|June 15, 2016
Summary
We analyzed nonlinear rate equations for quantum cascade lasers with optical feedback. A simple expression for critical feedback rate was derived, highlighting key parameter effects and validated numerically.
Area of Science:
- Quantum cascade lasers
- Nonlinear dynamics
- Semiconductor lasers
Background:
- Quantum cascade lasers (QCLs) are semiconductor lasers with unique properties.
- Optical feedback can significantly influence laser dynamics, leading to complex behaviors.
- Understanding bifurcation phenomena is crucial for laser stability and performance.
Purpose of the Study:
- To analyze the conditions for Hopf bifurcation in QCLs under optical feedback.
- To derive a simplified expression for the critical feedback rate.
- To investigate the influence of key parameters on laser stability.
Main Methods:
- Nonlinear rate equations were used to model the QCL system.
- Analysis focused on the limit of large delay values.
- Path continuation techniques were employed for numerical validation.
Main Results:
- A simple expression for the critical feedback rate was obtained.
- The expression reveals the impact of linewidth enhancement factor and pump level.
- Hopf bifurcation points were successfully tracked in parameter space.
Conclusions:
- The derived critical feedback rate provides insights into QCL stability under optical feedback.
- Numerical validation confirms the accuracy of the asymptotic approximations.
- This work contributes to the understanding and control of QCL dynamics.
