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The N-Soliton Interactions, Complex Toda Chain and Stable Propagation of NLS Soliton Trains

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Advanced Photonics with Second-Order Optically Nonlinear Processes

Part of the book series: NATO Science Series ((ASHT,volume 61))

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Abstract

One of the important problems in optical fiber soliton communication is to achieve as high of a bit rate as possible. In order to do this, one needs to be able to pack the solitons into as short of a space as possible. However, if the solitons are too close together, then their mutual interactions can cause them to collide and/or separate, thereby corrupting the signal. The current solution of this problem is simply to require each soliton to be sufficiently far apart from all others (usually 6 or so soliton widths) so that such interactions can be totally neglected. However, at the same time, it was predicted [1, 2] and experimentally confirmed [3] that for certain values of relative soliton parameters, this separation can be reduced, and at the same time, still maintain signal integrity. Our purpose is to analytically and numerically detail the soliton parameter regime, inside of which, signal integrity can be maintained. In particular, we are interested to determine how the inter-soliton interaction can be used for stabilizing a soliton train.

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Author information

Authors and Affiliations

  1. Institute for Nuclear Energy and Nuclear Research, boul. Tzarigradsko shosse 72, 1784, Sofia, Bulgaria

    V. S. Gerdjikov & E. G. Evstatiev

  2. Institute for Nonlinear Studies, Clarkson University, Potsdam, NY, 13699-5815, USA

    D. J. Kaup

  3. Institute of Solid State Physics, boul. Tzarigradsko shosse 72, 1784, Sofia, Bulgaria

    G. L. Diankov

  4. Friedrich-Schiller University Jena, D-07743, Jena, Germany

    I. M. Uzunov

  5. Institute of Electronics, boul. Tzarigradsko shosse 72, 1784, Sofia, Bulgaria

    I. M. Uzunov

Authors
  1. V. S. Gerdjikov
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  2. E. G. Evstatiev
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  3. D. J. Kaup
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  4. G. L. Diankov
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  5. I. M. Uzunov
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Editor information

Editors and Affiliations

  1. Joule Laboratory, Department of Physics, University of Salford, Salford, UK

    A. D. Boardman

  2. Institute of Electronics, Bulgarian Academy of Sciences, Sofia, Bulgaria

    L. Pavlov

  3. Optiwave Corporation, Nepean, Ontario, Canada

    S. Tanev

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Gerdjikov, V.S., Evstatiev, E.G., Kaup, D.J., Diankov, G.L., Uzunov, I.M. (1999). The N-Soliton Interactions, Complex Toda Chain and Stable Propagation of NLS Soliton Trains. In: Boardman, A.D., Pavlov, L., Tanev, S. (eds) Advanced Photonics with Second-Order Optically Nonlinear Processes. NATO Science Series, vol 61. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-0850-1_15

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  • DOI: https://doi.org/10.1007/978-94-007-0850-1_15

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-0-7923-5316-4

  • Online ISBN: 978-94-007-0850-1

  • eBook Packages: Springer Book Archive

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