Mechanism for period-doubling bifurcation in a semiconductor laser subject to optical injection
1996; American Physical Society; Volume: 53; Issue: 6 Linguagem: Inglês
10.1103/physreva.53.4372
ISSN1538-4446
AutoresThomas Erneux, Vassilios Kovanis, Athanasios Gavrielides, Paul M. Alsing,
Tópico(s)Advanced Fiber Laser Technologies
ResumoThe single-mode rate equations for a semiconductor laser subject to optical injection are investigated analytically. We determine the first branch of periodic solutions for low values of the injection field. For larger values of the injection field, we derive a third-order pendulum equation for the phase difference of the laser field of the form \ensuremath{\psi}\ensuremath{'''}+\ensuremath{\psi}\ensuremath{'}=\ensuremath{\Lambda} cos(\ensuremath{\psi}), where \ensuremath{\Lambda} groups all the key laser parameters. This equation captures several aspects of the numerical bifurcation diagram, namely, the fixed amplitude of the period-one solution and the period-doubling bifurcation. Finally, we compute the optical power spectrum utilizing the perturbation solutions of the phase equation before and after the period-doubling transition. We also obtain very good agreement with the numerically computed spectrum. \textcopyright{}1996 The American Physical Society.
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