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�Universit� di Pisa, Piazza Torricelli 2, 56100 Pisa, Italy
Dipartimento di Fisica dell�Universit� 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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