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Delay differential equations for mode-locked semiconductor lasers.

Andrei G Vladimirov1, Dmitry Turaev, Gregory Kozyreff

  • 1Weierstrass Institute for Applied Analysis and Stochastics, Mohrenstrasse 39, D-10117 Berlin, Germany. vladimir@wias-berlin.de

Optics Letters
|June 24, 2004
PubMed
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We present a new model for passive mode locking using delay differential equations. Stable mode locking is possible even when the nonlasing state becomes unstable.

Area of Science:

  • * Physics
  • * Nonlinear Optics
  • * Laser Dynamics

Background:

  • * Passive mode locking is a crucial technique for generating ultrashort optical pulses.
  • * Existing models often rely on approximations like small gain/loss and weak saturation.
  • * Understanding the stability of mode-locking solutions is essential for practical applications.

Purpose of the Study:

  • * To develop a new, more general model for passive mode locking.
  • * To investigate the stability of mode-locking solutions without common approximations.
  • * To explore the conditions under which stable mode locking can persist.

Main Methods:

  • * Formulation of a model using ordinary delay differential equations.
  • * Assumption of a ring-cavity geometry and Lorentzian spectral filtering.

Related Experiment Videos

  • * Application of a continuation method to analyze solutions and their stability.
  • Main Results:

    • * Stable mode-locking solutions were identified.
    • * The model successfully avoids small gain/loss and weak saturation approximations.
    • * Crucially, stable mode locking was found to exist even when the nonlasing state between pulses becomes unstable.

    Conclusions:

    • * The proposed model offers a more comprehensive approach to passive mode locking.
    • * The findings challenge previous assumptions about the necessity of a stable nonlasing state for mode locking.
    • * This research provides new insights into the complex dynamics of ultrashort pulse generation.