Effective control of a soliton by sliding-frequency guiding filters

doi:https://doi.org/10.1364/JOSAB.14.000627

Title: Effective control of a soliton by sliding-frequency guiding filters

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Abstract

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} 1997more » Optical Society of America« less

Authors:

Burtsev, S ^[1]; Kaup, D J ^[2]

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

Publication Date:: 1997-03-01

Research Org.:: Los Alamos National Laboratory

OSTI Identifier:: 467281

DOE Contract Number:: W-7405-ENG-36

Resource Type:: Journal Article

Journal Name:: Journal of the Optical Society of America, Part B: Optical Physics

Additional Journal Information:: Journal Volume: 14; Journal Issue: 3; Other Information: PBD: Mar 1997

Country of Publication:: United States

Language:: English

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

Citation Formats


                    Burtsev, S, and Kaup, D J. Effective control of a soliton by sliding-frequency guiding filters.  United States: N. p., 1997. 
        Web.  doi:10.1364/JOSAB.14.000627.

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                    Burtsev, S, & Kaup, D J. Effective control of a soliton by sliding-frequency guiding filters.  United States.  https://doi.org/10.1364/JOSAB.14.000627

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                    Burtsev, S, and Kaup, D J. Sat .  
        "Effective control of a soliton by sliding-frequency guiding filters".  United States.  https://doi.org/10.1364/JOSAB.14.000627.

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@article{osti_467281,

  title        = {Effective control of a soliton by sliding-frequency guiding filters},

  author       = {Burtsev, S and Kaup, D J},

  abstractNote = {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},

  doi          = {10.1364/JOSAB.14.000627},

  url          = {https://www.osti.gov/biblio/467281},
  journal      = {Journal of the Optical Society of America, Part B: Optical Physics},
number       = 3,

  volume       = 14,

  place        = {United States},

  year         = {1997},

  month        = {3}

}

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