4.2 Article

Neural network for calculating direct and inverse nonlinear Fourier transform

Journal

QUANTUM ELECTRONICS
Volume 51, Issue 12, Pages 1118-1121

Publisher

TURPION LTD
DOI: 10.1070/QEL17655

Keywords

nonlinear Schrodinger equation; inverse scattering problem method; Zakharov-Shabat problem; nonlinear Fourier transform; neural networks; machine learning

Funding

  1. RF President's Grants Council (State Support to Young Russian Scientists Programme) [MK-677.2020.9, FSUS-2020-0034]
  2. Leverhulme Trust [RPG-2018-063]

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A neural network architecture is proposed for predicting a continuous nonlinear spectrum of optical signals and performing inverse NFT for signal modulation. The average relative error in predicting the spectrum during direct NFT calculation is 2.68 x 10(-3), while the average relative error in predicting the signal for inverse NFT is 1.62 x 10(-4).
A neural network architecture is proposed that allows a continuous nonlinear spectrum of optical signals to be predicted and an inverse nonlinear Fourier transform (NFT) to he performed for signal modulation. The average value of the relative error in predicting the continuous spectrum by the neural network when calculating the direct NFT is found to be 2.68 x 10(-3). and the average value of the relative error in predicting the signal for the inverse NFT is 1.62 x 10(-4).

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