Generalized synchronization of chaos: experiments on a two-mode microchip laser with optoelectronic feedback

Year: 2004

Authors: McAllister R., Uchida A., Meucci R., Roy R.

Autors Affiliation: Department of Physics, University of Maryland, College Park, MD 20742, USA;
IREAP,University of Maryland, College Park, MD 20742, USA;
IPST, University of Maryland, College Park, MD 20742, USA;
Istituto Nazionale di Ottica Applicata, Largo E. Fermi 6, 50125 Firenze, Italy

Abstract: Generalized synchronization is characterized by the existence of a functional relationship between the dynamical evolution of a response system driven by an external signal. We observe generalized synchronization of chaos in a neodymium-doped yttrium aluminum garnet (Nd:YAG) microchip laser with optoelectronic feedback. The electronic feedback signal driving the chaotic dynamics of a laser is recorded in a computer. Feedback is removed and the recorded signal is replayed to the laser. Instead of repeating the original dynamics, the laser displays generalized synchronization to the recorded waveform. We observe similar results in numerical simulations using a two-mode laser model. The feedback signal is the total intensity, while the microchip laser dynamics is governed by the mode-mode interaction through spatial hole burning of the population inversion, the description of which requires several additional degrees of freedom. Generalized synchronization can arise from the existence of hidden degrees of freedom in the laser dynamics that are lumped together in the feedback signal. (C) 2004 Elsevier B.V. All rights reserved.

Journal/Review: PHYSICA D-NONLINEAR PHENOMENA

Volume: 195 (3-4)      Pages from: 244  to: 262

More Information: We gratefully acknowledge support from the Office of Naval Research (Physics). A. Uchida thanks the Japan Society for the Promotion of Science (JSPS) Postdoctoral Fellowship for Research Abroad for support. R. Meucci thanks The European Contract No. HPRN-CT-2000-158 for partial support. We thank Lou Pecora for helpful discussions about conditional Lyapunov exponents. We thank Tom Carroll, Linda Moniz, and Ira Schwartz for valuable comments. We are also thankful for expert technical assistance from Don Martin.
KeyWords: Chaos theory; Correlation methods; Degrees of freedom (mechanics); Feedback; Mapping; Mathematical models; Modulators; Semiconductor lasers; Signal processing; Statistical methods; Synchronization, Generalized synchronization; Laser chaos; Microchip laser; Optoelectronic feedback, Optoelectronic devices
DOI: 10.1016/j.physd.2004.03.017

Citations: 15
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