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.44.4639Citations: 22data from “WEB OF SCIENCE” (of Thomson Reuters) are update at: 2024-11-10References taken from IsiWeb of Knowledge: (subscribers only)Connecting to view paper tab on IsiWeb: Click hereConnecting to view citations from IsiWeb: Click here