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Discontinuous spirals of stability in an optically injected semiconductor laser.

Chaos (Woodbury, N.Y.)·2020
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Tricorn-like structures in an optically injected semiconductor laser.

C Abraham T Chávez1, Sergio Curilef2

  • 1Instituto de Física, Universidade Federal do Rio Grande do Sul, 91501-970 Porto Alegre, Brazil.

Chaos (Woodbury, N.Y.)
|March 2, 2020
PubMed
Summary

Researchers discovered novel tricorn structures in a semiconductor laser model. These structures, arising from bifurcations, lead to complex dynamics and multistability, offering potential for optical switching applications.

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Area of Science:

  • Nonlinear dynamics
  • Semiconductor laser physics
  • Optical systems

Background:

  • Optically injected semiconductor lasers exhibit complex dynamics.
  • Understanding parameter plane structures is crucial for laser control.
  • Shi'lnikov bifurcations create tongue-like structures in dynamical systems.

Purpose of the Study:

  • To report the existence of tricorn-like structures in the parameter plane of an optically injected semiconductor laser model.
  • To investigate the influence of the linewidth enhancement factor (α) on these structures.
  • To explore the potential for optical switching applications.

Main Methods:

  • Numerical analysis of a continuous-time dynamical system model for optically injected semiconductor lasers.
  • Investigation of parameter plane bifurcations, specifically Shi'lnikov bifurcations.
  • Analysis of the dynamics within the parameter plane, including injection field rate (K) and detuning (ω).

Main Results:

  • Discovery of tricorn-like structures of stable periodic orbits within tongue-like structures.
  • Observed invasion of the laser locking zone and period-1 orbit zone by these tongues as α increases.
  • Demonstrated abundant multistability due to rich overlap dynamics in the parameter plane.
  • Observed codimension-3 rotating phenomena of the tricorn structures.

Conclusions:

  • The study provides numerical evidence for tricorn-like structures in semiconductor laser dynamics.
  • These structures are linked to multistability and complex parameter plane overlaps.
  • The findings motivate further mathematical and experimental investigation, with potential for optical switching applications.