TY - GEN

T1 - A Novel Sixth-Order Algorithm for the Direct Zakharov-Shabat Problem

AU - Medvedev, Sergey B.

AU - Vaseva, Irina A.

AU - Chekhovskoy, Igor S.

AU - Fedoruk, Mikhail P.

N1 - Funding Information: The work of M.P.F. (analytical results) was supported by the Russian Science Foundation (grant No.20-11-20040). The work of S.B.M., I.A.V. and I.S.Ch. was supported by the state funding program FSUS-2020-0034. Publisher Copyright: © 2021 IEEE.

PY - 2021/6

Y1 - 2021/6

N2 - The nonlinear Schrödinger equation is widely used in telecommunication applications, because it allows one to describe the propagation of pulses in an optical fiber. Recently some new approaches based on the nonlinear Fourier transform (NFT) have been actively explored to compensate for fiber nonlinearity and to exceed the limitations of nonlinearity-imposed limits of linear transmission methods. The first step in the NFT method is the solution of the direct scattering problem for the Zakharov-Shabat (ZS) system. Improving the accuracy of computational methods to solve the direct ZS problem remains an urgent problem in optics. In particular, it is important to increase the approximation order of the methods, especially in problems where it is necessary to analyze the structure of complex waveforms. In addition multi-soliton pulses are potential candidates for fiber optical transmission, where the information is modulated and recovered in the so-called nonlinear Fourier domain. To correctly describe them and their spectral parameters, more accurate and fast numerical methods are needed.

AB - The nonlinear Schrödinger equation is widely used in telecommunication applications, because it allows one to describe the propagation of pulses in an optical fiber. Recently some new approaches based on the nonlinear Fourier transform (NFT) have been actively explored to compensate for fiber nonlinearity and to exceed the limitations of nonlinearity-imposed limits of linear transmission methods. The first step in the NFT method is the solution of the direct scattering problem for the Zakharov-Shabat (ZS) system. Improving the accuracy of computational methods to solve the direct ZS problem remains an urgent problem in optics. In particular, it is important to increase the approximation order of the methods, especially in problems where it is necessary to analyze the structure of complex waveforms. In addition multi-soliton pulses are potential candidates for fiber optical transmission, where the information is modulated and recovered in the so-called nonlinear Fourier domain. To correctly describe them and their spectral parameters, more accurate and fast numerical methods are needed.

UR - http://www.scopus.com/inward/record.url?scp=85117614341&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/73dc29b7-1569-357b-a68d-d0ed11a45fd8/

U2 - 10.1109/CLEO/Europe-EQEC52157.2021.9542601

DO - 10.1109/CLEO/Europe-EQEC52157.2021.9542601

M3 - Conference contribution

AN - SCOPUS:85117614341

SN - 9781665418768

T3 - 2021 Conference on Lasers and Electro-Optics Europe and European Quantum Electronics Conference, CLEO/Europe-EQEC 2021

BT - 2021 Conference on Lasers and Electro-Optics Europe and European Quantum Electronics Conference, CLEO/Europe-EQEC 2021

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 2021 Conference on Lasers and Electro-Optics Europe and European Quantum Electronics Conference, CLEO/Europe-EQEC 2021

Y2 - 21 June 2021 through 25 June 2021

ER -