MIDIT OFD CATS Modelling, Nonlinear Dynamics Optics and Fluid Dynamics Chaos and Turbulence Studies and Irreversible Thermodynamics Risø National Laboratory Niels Bohr Institute and Technical University of Denmark Building 128 Department of Chemistry Building 321 P.O. Box 49 University of Copenhagen DK-2800 Lyngby DK-4000 Roskilde DK-2100 Copenhagen Ø Denmark Denmark Denmark
by J. G. Caputo
Laboratoire de Physique Mathematique
Universite Montpellier II
France
MIDIT-seminar 430
Thursday November 26, 1998, 13.00 h
at MIDIT, IMM Building 305, room 027
Abstract: A fiber ring laser generates optical pulses for telecommunications purposes. Two desirable features of the device are a clean self starting to a stable pulse per repetition period and a way to calculate this operating point as a function of the parameters. We show on a model based on a nonlinear Schroedinger equation with saturable gain that both features can be obtained in the solitonic regime with a small amplitude modulation. The operating regime is the fixed point of a map obtained from soliton perturbation theory. We established the validity of this approach by comparison with the full numerical simulations. Finally we discuss possible sources of instability due to resonances in the device.