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Discrete light bullets in passively mode-locked semiconductor lasers.

Thomas G Seidel1, Auro M Perego2, Julien Javaloyes3

  • 1Institute for Theoretical Physics, University of Münster, Wilhelm-Klemm-Str. 9, D-48149 Münster, Germany.

Chaos (Woodbury, N.Y.)
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We discovered discrete light bullets in coupled laser arrays. These localized light states exhibit complex dynamics and multistability, influenced by coupling strength and gain.

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Area of Science:

  • Nonlinear optics
  • Laser physics
  • Complex systems

Background:

  • Discrete light bullets are localized optical solutions in periodic structures.
  • Understanding their formation and dynamics is crucial for optical signal processing and photonics.

Purpose of the Study:

  • To analyze the formation and dynamical properties of discrete light bullets in coupled passively mode-locked lasers.
  • To investigate the influence of coupling strength and gain on the stability and behavior of these localized states.

Main Methods:

  • Numerical simulations using coupled Haus master equations.
  • Development of a reduced discrete model for simplified analysis.
  • Bifurcation analysis via path-continuation methods.

Main Results:

  • Existence of discrete light bullets demonstrated for various coupling strengths.
  • Identification of multistable branches of discrete localized states.
  • Observation of snaking bifurcation diagrams and mechanisms for their creation/destruction.
  • Demonstration of moving bright and dark discrete localized states with increasing coupling.

Conclusions:

  • The study confirms the existence and complex dynamics of discrete light bullets in coupled laser arrays.
  • An effective theory simplifies the analysis of these nonlinear phenomena.
  • Bifurcation analysis reveals rich multistability and parameter-dependent behavior, including moving states.