Fast nonlinear Fourier transform algorithms for optical data processing

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Fast nonlinear Fourier transform algorithms for optical data processing. / Medvedev, Sergey ; Vaseva, Irina ; Kachulin, Dmitry et al.

In: Optics Letters, Vol. 49, No. 8, 15.04.2024, p. 1884-1887.

Research output: Contribution to journal › Article › peer-review

BibTeX

@article{b8eddd18fc8b441ba14e693dcb4fa7c2,

title = "Fast nonlinear Fourier transform algorithms for optical data processing",

abstract = "The nonlinear Fourier transform (NFT) is an approach that is similar to a conventional Fourier transform. In particular, NFT allows to analyze the structure of a signal governed by the nonlinear Schr{\"o}dinger equation (NLSE). Recently, NFT applied to NLSE has attracted special attention in applications of fiber-optic communication. Improving the speed and accuracy of the NFT algorithms remains an urgent problem in optics. We present an approach that allows to find all variants of symmetric exponential splitting schemes suitable for the fast NFT (FNFT) algorithms with low complexity. One of the obtained schemes showed good numerical results in computing the continuous spectrum compared with other fast fourth-order NFT schemes.",

author = "Sergey Medvedev and Irina Vaseva and Dmitry Kachulin and Igor Chekhovskoy and Mikhail Fedoruk",

note = "The work of S.M., I.V., and M.F. (analytical results) was supported by the Russian Science Foundation (Project No. 22-11-00287). The work of D.K. and I.C. (numerical results) was supported by the Russian Science Foundation (Project No. 17-72-30006).",

year = "2024",

month = apr,

day = "15",

doi = "10.1364/ol.515200",

language = "English",

volume = "49",

pages = "1884--1887",

journal = "Optics Letters",

issn = "0146-9592",

publisher = "The Optical Society",

number = "8",

}

RIS

TY - JOUR

T1 - Fast nonlinear Fourier transform algorithms for optical data processing

AU - Medvedev, Sergey

AU - Vaseva, Irina

AU - Kachulin, Dmitry

AU - Chekhovskoy, Igor

AU - Fedoruk, Mikhail

N1 - The work of S.M., I.V., and M.F. (analytical results) was supported by the Russian Science Foundation (Project No. 22-11-00287). The work of D.K. and I.C. (numerical results) was supported by the Russian Science Foundation (Project No. 17-72-30006).

PY - 2024/4/15

Y1 - 2024/4/15

N2 - The nonlinear Fourier transform (NFT) is an approach that is similar to a conventional Fourier transform. In particular, NFT allows to analyze the structure of a signal governed by the nonlinear Schrödinger equation (NLSE). Recently, NFT applied to NLSE has attracted special attention in applications of fiber-optic communication. Improving the speed and accuracy of the NFT algorithms remains an urgent problem in optics. We present an approach that allows to find all variants of symmetric exponential splitting schemes suitable for the fast NFT (FNFT) algorithms with low complexity. One of the obtained schemes showed good numerical results in computing the continuous spectrum compared with other fast fourth-order NFT schemes.

AB - The nonlinear Fourier transform (NFT) is an approach that is similar to a conventional Fourier transform. In particular, NFT allows to analyze the structure of a signal governed by the nonlinear Schrödinger equation (NLSE). Recently, NFT applied to NLSE has attracted special attention in applications of fiber-optic communication. Improving the speed and accuracy of the NFT algorithms remains an urgent problem in optics. We present an approach that allows to find all variants of symmetric exponential splitting schemes suitable for the fast NFT (FNFT) algorithms with low complexity. One of the obtained schemes showed good numerical results in computing the continuous spectrum compared with other fast fourth-order NFT schemes.

UR - https://www.scopus.com/record/display.uri?eid=2-s2.0-85190538887&origin=inward&txGid=fd5981ccfaf968a6ea01ee510b13b30e

UR - https://www.webofscience.com/wos/woscc/full-record/WOS:001224185400006

UR - https://www.mendeley.com/catalogue/6ba8c78d-45c6-3838-ac2f-c1c4bb086b02/

U2 - 10.1364/ol.515200

DO - 10.1364/ol.515200

M3 - Article

C2 - 38621030

VL - 49

SP - 1884

EP - 1887

JO - Optics Letters

JF - Optics Letters

SN - 0146-9592

IS - 8

ER -

ID: 61202825