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Area of Science:

  • Optics and Photonics
  • Nonlinear Dynamics
  • Laser Physics

Background:

  • Semiconductor lasers are crucial in modern technology.
  • Delayed optical feedback can induce complex dynamics.
  • Low frequency fluctuations (LFF) are a significant phenomenon in laser behavior.

Purpose of the Study:

  • Investigate the dynamic mechanisms behind low frequency fluctuations (LFF) in semiconductor lasers.
  • Analyze the parameter regions where LFF occur.
  • Characterize the intermittent chaotic behavior observed in these systems.

Main Methods:

  • Utilized the Lang-Kobayashi model, a system of delay differential equations.
  • Computed Lyapunov spectra to quantify chaotic behavior.
  • Applied geometric singular perturbation theory to analyze slow-fast dynamics.

Main Results:

  • Identified parameter regions leading to pronounced envelope dynamics, including LFF.
  • Characterized LFF as bursting slow-fast oscillations.
  • Demonstrated the intermittent chaotic nature of these laser dynamics.

Conclusions:

  • Low frequency fluctuations in semiconductor lasers with delayed feedback arise from bursting slow-fast oscillations.
  • Geometric singular perturbation theory provides a framework for understanding this intermittent chaos.
  • The Lang-Kobayashi model effectively captures these complex laser dynamics.