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Class-A mode-locked lasers: Fundamental solutions.

Anton V Kovalev1, Evgeny A Viktorov1

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This summary is machine-generated.

This study models mode-locked semiconductor lasers using delay differential equations. It reveals complex behaviors like coexistence and hysteresis in laser operation through bifurcation analysis.

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Area of Science:

  • Laser Physics
  • Nonlinear Dynamics
  • Optical Engineering

Background:

  • Class-A semiconductor lasers are crucial for various applications.
  • Mode-locked operation requires understanding complex dynamics.
  • Delay differential equations (DDEs) are suitable for modeling long cavity lasers.

Purpose of the Study:

  • To develop and analyze a DDE model for mode-locked operation in semiconductor lasers.
  • To investigate the steady states and their bifurcations.
  • To characterize the coexistence, transformation, and hysteretic behaviors of laser regimes.

Main Methods:

  • Adiabatic elimination of fast material processes.
  • Utilizing the DDE-BIFTOOL software for bifurcation analysis.
  • Analyzing steady states and periodic regimes within bifurcation diagrams.

Main Results:

  • Identified multiple steady states and fundamental periodic regimes.
  • Observed coexistence, transformation, and hysteretic phenomena.
  • Bifurcation diagrams illustrate complex dynamic behaviors.

Conclusions:

  • The DDE model effectively captures the rich dynamics of mode-locked semiconductor lasers.
  • Bifurcation analysis reveals intricate behaviors crucial for laser design.
  • Understanding these dynamics is key to controlling laser output.