Nonlinear inverse synthesis and eigenvalue division multiplexing in optical fiber channels

Jaroslaw E. Prilepsky*, Stanislav A. Derevyanko, Keith J. Blow, Ildar Gabitov, Sergei K. Turitsyn

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


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.

Original languageEnglish
Article number013901
Number of pages5
JournalPhysical Review Letters
Issue number1
Publication statusPublished - 1 Jul 2014

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Published by the American Physical Society 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.


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