Effective control of a soliton by sliding-frequency guiding filters

Journal Article · Sat Mar 01 04:00:00 EST 1997 · Journal of the Optical Society of America, Part B: Optical Physics

DOI:https://doi.org/10.1364/JOSAB.14.000627· OSTI ID:467281

Burtsev, S ^[1]; Kaup, D J ^[2]

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1. Theoretical Division and Center for Nonlinear Studies, Los Alamos National Laboratory, Los Alamos, New Mexico 87545 (United States)
2. Institute for Nonlinear Studies, Department of Physics and Department of Mathematics, Clarkson University, Potsdam, New York 13699-5815 (United States)

A singular perturbation method is used to analyze the effect of sliding-frequency guiding filters on an optical soliton, which has been proposed to be used as a bit carrier in fiber-optics communication systems. We find that there is a broad range of physical parameters, only inside of which would the sliding-frequency filter scheme operate stably. The lower limit (in soliton energy) of this parameter regime was found earlier by Mollenauer {ital et al.} [Opt. Lett. {bold 17}, 1575 (1992)] and by Kodama {ital et al.} [Opt. Lett. {bold 18}, 1311 (1993)] and is determined by whether the soliton will continue to stay in synchronization with the array of filters. The upper limit is determined when the comoving dispersive waves that are continually being generated by the filtering are no longer decaying and instead start to grow and generate, finally, a secondary soliton. This upper limit was discovered recently in both experiments and numerical simulations by Mamyshev and Mollenauer [Opt. Lett. {bold 15}, 2083 (1994)]. We have found a simple analytical estimate of this upper limit by the use of a singular perturbation method. Our analytical results agree well with the numerical and experimental findings of Mamyshev and Mollenauer. {copyright} 1997 Optical Society of America

• Research Organization: Los Alamos National Laboratory
• DOE Contract Number: W-7405-ENG-36
• OSTI ID: 467281
• Journal Information: Journal of the Optical Society of America, Part B: Optical Physics, Journal Name: Journal of the Optical Society of America, Part B: Optical Physics Journal Issue: 3 Vol. 14; ISSN JOBPDE; ISSN 0740-3224
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
COMMUNICATIONS
DATA TRANSMISSION SYSTEMS
DESIGN
LIGHT TRANSMISSION
OPTICAL FILTERS
PERTURBATION THEORY
SOLITONS
STABILITY