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

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:
 [1];  [2]
  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)
Publication Date:
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.
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
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.
@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}
}