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Rabinovich M. I., Tsimring M. S. Stochastization of monochromatic wave propagation in an optical single-mode fiber. Izvestiya VUZ. Applied Nonlinear Dynamics, 1995, vol. 3, iss. 6, pp. 120-125.

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Language: 
Russian
Heading: 
Nonlinear Waves. Solitons
Article type: 
Article
UDC: 
530.182

Stochastization of monochromatic wave propagation in an optical single-mode fiber

Autors: 
Rabinovich Mihail Izrailevich, University of California, San Diego
Tsimring Mikhail Shulimovich, Institute of Applied Physics of the Russian Academy of Sciences
Abstract: 

The effect of the optical fiber inhomogeneities, giving rise to stochastization of the transmitted signal. is investigated in the canonical formulation. The nonlinear stage of the modulation instability of the pump wave in the three-wave approximation is considered. The analytical analysis of the equations for the wave amplitudes. in the Hamiltonian form shows that a «stochastic layer», i.e. the region in which the phase trajectories: behave chaotically, is formed in the phase space of a dynamic system even at rather weak in- homogeneity of the fiber. The estimates indicate that the phenomenon under study is very likely to be observed in experiments.

Key words: 
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Acknowledgments: 
The authors are grateful to Professors Rajarshi Roy (Georgia Technical University, USA) and Ya. I. Khanin (IAP RAS, Russia) for their interest in the work and useful discussions. The implementation of this work became possible, in particular, thanks to the support of the International Science Foundation (grant NP 2000).
Reference: 
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Received: 
24.03.1995
Accepted: 
18.10.1995
Published: 
21.11.1996
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