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Bifurcation phenomena in a laser with saturable absorber I

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Zeitschrift für Physik B Condensed Matter

Abstract

We investigate the bifurcation diagram of a laser with saturable absorber in the low and medium intensity regimes. The linear stability of the stationary solutions corresponding to these regimes is studied. In the low intensity domain, a Hopf bifurcation point is determined from which a time-periodic solution emerges. This solution is contructed and its stability is analyzed in the vicinity of the bifurcation point. It is shown that this time-periodic solution is stable in a finite domain of the parameter space.

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Author notes

  1. T. Erneux (Aspirant FNRS)

    Present address: Service de Chimie-Physique II, Association Euratom-Etat belge, Université Libre de Bruxelles, Campus Plaine U.L.B. Boulevard du Triomphe, CP 231, B-1050, Bruxelles, Belgium

Authors and Affiliations

  1. Department of Engineering Sciences and Applied Mathematics, Northwestern University, Illinois, USA

    T. Erneux (Aspirant FNRS)

  2. Service de Chimie-Physique II, Association Euratom-Etat belge, Université Libre de Bruxelles, Campus Plaine U.L.B. Boulevard du Triomphe, CP 231, B-1050, Bruxelles, Belgium

    P. Mandel (Chercheur Quanlifié FNRS)

Authors
  1. T. Erneux
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  2. P. Mandel
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Erneux, T., Mandel, P. Bifurcation phenomena in a laser with saturable absorber I. Z. Physik B - Condensed Matter 44, 353–363 (1981). https://doi.org/10.1007/BF01294174

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  • DOI: https://doi.org/10.1007/BF01294174

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