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Teoreticheskaya i Matematicheskaya Fizika, 2005, Volume 144, Number 2, Pages 277–289
DOI: https://doi.org/10.4213/tmf1852 (Mi tmf1852) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Evolution of Optical Pulses in Fiber Lines with Lumped Nonlinear Devices as a Mapping Problem

S. Boscoloa, S. A. Derevyankoa, S. K. Turitsyna, A. S. Kovalevb, M. M. Bogdanb

a Aston University
b B. Verkin Institute for Low Temperature Physics and Engineering, National Academy of Sciences of Ukraine
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DOI: https://doi.org/10.4213/tmf1852
Abstract: We analyze the steady-state propagation of optical pulses in fiber transmission systems with lumped nonlinear optical devices (NODs) placed periodically in the line. For the first time to our knowledge, a theoretical model is developed to describe the transmission regime with a quasilinear pulse evolution along the transmission line and the point action of NODs. We formulate the mapping problem for pulse propagation in a unit cell of the line and show that in the particular application to nonlinear optical loop mirrors, the steady-state pulse characteristics predicted by the theory accurately reproduce the results of direct numerical simulations.
Keywords: dispersive systems with point nonlinearity, mapping problem, autosolitons.
English version:
Theoretical and Mathematical Physics, 2005, Volume 144, Issue 2, Pages 1117–1127
DOI: https://doi.org/10.1007/s11232-005-0140-8
Bibliographic databases:
Language: Russian
Citation: S. Boscolo, S. A. Derevyanko, S. K. Turitsyn, A. S. Kovalev, M. M. Bogdan, “Evolution of Optical Pulses in Fiber Lines with Lumped Nonlinear Devices as a Mapping Problem”, TMF, 144:2 (2005), 277–289; Theoret. and Math. Phys., 144:2 (2005), 1117–1127
Citation in format AMSBIB
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\by S.~Boscolo, S.~A.~Derevyanko, S.~K.~Turitsyn, A.~S.~Kovalev, M.~M.~Bogdan
\paper Evolution of Optical Pulses in Fiber Lines with Lumped Nonlinear Devices as a Mapping Problem
\jour TMF
\yr 2005
\vol 144
\issue 2
\pages 277--289
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\crossref{https://doi.org/10.4213/tmf1852}
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\zmath{https://zbmath.org/?q=an:1178.78011}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2005TMP...144.1117B}
\elib{https://elibrary.ru/item.asp?id=17703436}
\transl
\jour Theoret. and Math. Phys.
\yr 2005
\vol 144
\issue 2
\pages 1117--1127
\crossref{https://doi.org/10.1007/s11232-005-0140-8}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000232092900006}
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  • https://www.mathnet.ru/eng/tmf1852
  • https://doi.org/10.4213/tmf1852
  • https://www.mathnet.ru/eng/tmf/v144/i2/p277
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    References:57
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