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Accumulation horizons and period adding in optically injected semiconductor lasers.

Cristian Bonatto1, Jason A C Gallas

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

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|August 7, 2007
PubMed
Summary

Stable periodic oscillations form complex structures within chaotic semiconductor laser dynamics. These period-adding routes may impact applications like secure communications relying on chaotic signals.

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Area of Science:

  • Nonlinear dynamics
  • Laser physics
  • Complex systems

Background:

  • Semiconductor lasers with optical injection exhibit complex dynamics.
  • Understanding chaotic regions is crucial for laser applications.

Purpose of the Study:

  • Investigate the hierarchical structuring of stable periodic oscillations within chaotic regions.
  • Analyze the formation and implications of accumulation horizons in laser phase diagrams.

Main Methods:

  • Phase diagram analysis of single-mode semiconductor lasers.
  • Identification of self-similar islands of periodic solutions.
  • Characterization of period-adding routes.

Main Results:

  • Discovered hierarchical structuring of stable periodic islands within chaotic laser dynamics.

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  • Observed accumulation horizons formed by infinite cascades of self-similar periodic solutions.
  • Identified distinct period-adding routes governing these cascades.

    • Conclusions:

    • The complex network of periodic solutions riddling chaotic laser phases can affect applications.
    • Potential compromise for secure communications and other chaotic signal-based technologies.