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An analytical study of a periodically driven laser with a saturable absorber

  • T.W. Carr
  • T. Erneux

Abstract:

We consider the rate equations for a laser with an intracavity saturable absorber and subject to a periodically modulated pump. By deriving simplified equations for a map valid for strongly pulsating regimes, analytical conditions are determined that specify the properties of both frequency-locked and unlocked behaviors. As the strength of the modulation is increased, quasiperiodic and period-doubling bifurcations are predicted. However, only the transition from locking to non-locking through a quasiperiodic bifurcation is possible for realistic values of the parameters. Our results are consistent with previous numerical and experimental studies of modulated lasers with a saturable absorber.

PACS. 42.65.Sf Dynamics of nonlinear optical systems; optical instabilities, optical chaos and complexity, and optical spatio-temporal dynamics – 42.60.Fc Modulation, tuning, and mode locking – 42.60.Gd Q-switching 

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Copyright information

© EDP Sciences, Springer-Verlag, Società Italiana di Fisica 2001

Authors and Affiliations

  • T.W. Carr
    • 1
  • T. Erneux
    • 2
  1. 1.Department of Mathematics, Southern Methodist University, Dallas, TX 75275-0156, USAUS
  2. 2.Université Libre de Bruxelles, Optique Nonlinéaire Théorique, Campus Plaine, C.P. 231, 1050 Bruxelles, BelgiumBE

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