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Kvantovaya Elektronika, 2021, Volume 51, Number 12, Pages 1118–1121 (Mi qe17946)  

This article is cited in 5 scientific papers (total in 5 papers)

Selection of reports presented at the 8th All-Russian conference on fibre optics (5-8 October 2021, Perm) (compiled and edited by S.L.Semjonov)

Neural network for calculating direct and inverse nonlinear Fourier transform

E. V. Sedova, I. S. Chekhovskoya, J. E. Prilepskyb

a Novosibirsk State University
b Aston Institute of Photonic Technologies, Aston University, Birmingham, UK
Full-text PDF (815 kB) Citations (5)
References:
Abstract: 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 be 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 × 10-3, and the average value of the relative error in predicting the signal for the inverse NFT is 1.62 × 10-4.
Keywords: nonlinear Schrödinger equation, inverse scattering problem method, Zakharov–Shabat problem, nonlinear Fourier transform, neural networks, machine learning.
Received: 26.10.2021
English version:
Quantum Electronics, 2021, Volume 51, Issue 12, Pages 1118–1121
DOI: https://doi.org/10.1070/QEL17655
Bibliographic databases:
Document Type: Article
Language: Russian


Citation: E. V. Sedov, I. S. Chekhovskoy, J. E. Prilepsky, “Neural network for calculating direct and inverse nonlinear Fourier transform”, Kvantovaya Elektronika, 51:12 (2021), 1118–1121 [Quantum Electron., 51:12 (2021), 1118–1121]
Linking options:
  • https://www.mathnet.ru/eng/qe17946
  • https://www.mathnet.ru/eng/qe/v51/i12/p1118
  • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Квантовая электроника Quantum Electronics
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    Abstract page:134
    Full-text PDF :36
    References:15
    First page:17
     
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