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Nonlinear Inverse Synthesis and Eigenvalue Division Multiplexing in Optical Fiber Channels

Jaroslaw E. Prilepsky, Stanislav A. Derevyanko, Keith J. Blow, Ildar Gabitov, and Sergei K. Turitsyn
Phys. Rev. Lett. 113, 013901 – Published 1 July 2014
Physics logo See Synopsis: Smarter Pulse Shaping for Fiber Optics
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Abstract

We scrutinize the concept of integrable nonlinear communication channels, resurrecting and extending the idea of eigenvalue communications in a novel context of nonsoliton coherent optical communications. Using the integrable nonlinear Schrödinger equation as a channel model, we introduce a new approach—the nonlinear inverse synthesis method—for digital signal processing based on encoding the information directly onto the nonlinear signal spectrum. The latter evolves trivially and linearly along the transmission line, thus, providing an effective eigenvalue division multiplexing with no nonlinear channel cross talk. The general approach is illustrated with a coherent optical orthogonal frequency division multiplexing transmission format. We show how the strategy based upon the inverse scattering transform method can be geared for the creation of new efficient coding and modulation standards for the nonlinear channel.

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  • Received 13 February 2014

DOI:https://doi.org/10.1103/PhysRevLett.113.013901

This article is available under the terms of the Creative Commons Attribution 3.0 License. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI.

Published by the American Physical Society

Synopsis

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Smarter Pulse Shaping for Fiber Optics

Published 1 July 2014

Researchers propose a new way to eliminate the signal distortions in optical fibers that are caused by nonlinear effects.

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Authors & Affiliations

Jaroslaw E. Prilepsky1,*, Stanislav A. Derevyanko2, Keith J. Blow1, Ildar Gabitov3, and Sergei K. Turitsyn1

  • 1Aston Institute of Photonic Technologies, Aston University, B4 7ET Birmingham, United Kingdom
  • 2Department of Physics of Complex Systems, Weizmann Institute of Science, Rehovot 76100, Israel
  • 3Department of Mathematics, University of Arizona, 617 North Santa Rita Avenue, P.O. Box 210089, Tucson, Arizona 85721, USA

  • *y.prylepskiy1@aston.ac.uk

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Vol. 113, Iss. 1 — 4 July 2014

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