Return Maps for Intensity and Time in a Homoclinic-Chaos Model applied to a Laser with Saturable Absorber

Year: 1991

Authors: Papoff F., Fioretti A., Arimondo E.

Autors Affiliation: Scuola Normale Superiore, Piazza dei Cavalieri 6, 56100 Pisa, Italy
Dipartimento di Fisica dell’Università di Pisa, Piazza Torricelli 2, 56100 Pisa, Italy
Dipartimento di Fisica dell’Università di Pisa, Piazza Torricelli 2, 56100 Pisa, Italy

Abstract: Intensity maps from an experiment on a laser with a saturable absorber, in the case of strong dissipation, are compared with theoretical one-dimensional (1D) maps. These 1D maps are derived in the limit of infinite dissipation, starting from 2D maps for a dissipative saddle cycle with stable and unstable manifolds approaching a quadratic tangency and giving rise to a structurally unstable homoclinic orbit. They are multibranched, each branch corresponding to a particular number of turns around the saddle cycle. The good agreement between theory and experiment indicates that the origin of the complicated behavior of a laser with a saturable absorber is a saddle cycle. A multibranched structure is also present in maps of time of flight between planes in phase space. Depending on the choice of these planes, it is possible to obtain time-of-flight maps that give the same symbolic dynamics of the intensity maps.

DOI: 10.1103/PhysRevA.44.4639

Journal/Review: PHYSICAL REVIEW A

Volume: 44      Pages from: 4639  to: 4651

KeyWords: homoclinic chaos; laser;
DOI: 10.1103/PhysRevA.44.4639

Citations: 22
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