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Fast nonlinear Fourier transform algorithms for optical data processing

delete2024-04-02
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PRE
AI
С
С. Б. Медведев *
I
Irina Vaseva
D
Dmitry Kachulin
I
I. S. Chekhovskoy
М
М. П. Федорук
DOI:10.1364/OL.515200delete
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Abstract

Abstract

En 中文
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 & ouml;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. (c) 2024 Optica Publishing Group
Keywords:
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Journal

Optics Letters cover
Optics Letters
IF:
3.3
Papers:
4.0W
Citations:
7.6W

Organization

R
russian academy of sciences
Scholars:
9.1W
Papers: 6.0W
Citations: 60