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Extreme events in frequency-swept semiconductor lasers.

A Stroganov1, A V Kovalev1, E A Viktorov1

  • 1Institute of Advanced Data Transfer Systems, <a href="https://ror.org/04txgxn49">ITMO University</a>, Saint Petersburg 199034, Russia.

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Summary

Extreme events in frequency-swept semiconductor laser dynamics are demonstrated, with probabilities dependent on sweep rate. These events occur even without system noise and are localized in filter detuning space.

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Area of Science:

  • Physics
  • Nonlinear Dynamics
  • Optical Engineering

Background:

  • Semiconductor lasers are crucial in modern optics.
  • Understanding their dynamic behavior, especially under frequency sweeping, is essential for advanced applications.
  • Extreme events in complex systems can lead to unpredictable behavior.

Purpose of the Study:

  • To analyze a delay differential equation model of a frequency-swept semiconductor laser.
  • To demonstrate and characterize the occurrence of extreme events in the laser's dynamics.
  • To investigate the influence of sweep rate and system noise on these extreme events.

Main Methods:

  • Numerical analysis of a delay differential equation model.
  • Investigation of intensity dynamics and localization in filter detuning space.
  • Comparison with steady-state and periodic solutions of the static system.

Main Results:

  • Existence of extreme events in the laser dynamics, heavily dependent on the sweep rate.
  • Extreme events occur even in the absence of external noise.
  • Intensity dynamics of extreme events are localized in filter detuning space.
  • Dynamics are governed by attraction to stable high-intensity periodic solutions.

Conclusions:

  • Extreme events in frequency-swept semiconductor lasers are a robust phenomenon, driven by the system's inherent dynamics.
  • The sweep rate is a critical parameter controlling the probability of these events.
  • These events arise from the system's trajectory through regions of stable periodic solutions.