TY - GEN

T1 - New Fast Exponential Splitting Schemes for Nonlinear Fourier Transform

AU - Medvedev, S. B.

AU - Kachulin, D. I.

AU - Chekhovskoy, I. S.

AU - Vaseva, I. A.

AU - Fedoruk, M. P.

N1 - The work was supported by the Russian Science Foundation (Projects No. 22-11-00287, https://rscf.ru/project/22-11-00287/ (S.M., I.V. - theoretical study), 20-11-20040, https://rscf.ru/project/20-11-20040/ (I.Ch. - numerical calculations, M.F. - formulation of the problem). The work of D.K. was supported by the grant for the implementation of the strategic academic leadership program \"Priority 2030\" in Novosibirsk State University.

PY - 2024

Y1 - 2024

N2 - The nonlinear Fourier transform (NFT) is a method for analyzing signal structures influenced by the nonlinear Schrödinger equation (NLSE). Enhancing the performance and accuracy of NFT algorithms is crucial in fiber optics. We propose a method to identify all suitable symmetric exponential splitting schemes that enhance the speed of fast NFT (FNFT) algorithms while maintaining low numerical complexity. The schemes we developed performed well in numerical tests, comparing favorably with other fast 4th order NFT algorithms.

AB - The nonlinear Fourier transform (NFT) is a method for analyzing signal structures influenced by the nonlinear Schrödinger equation (NLSE). Enhancing the performance and accuracy of NFT algorithms is crucial in fiber optics. We propose a method to identify all suitable symmetric exponential splitting schemes that enhance the speed of fast NFT (FNFT) algorithms while maintaining low numerical complexity. The schemes we developed performed well in numerical tests, comparing favorably with other fast 4th order NFT algorithms.

KW - Fast Nonlinear Fourier Transform

KW - Zakharov-Shabat problem

KW - nonlinear Schrödinger equation

UR - https://www.scopus.com/record/display.uri?eid=2-s2.0-85203157017&origin=inward&txGid=d913ad23a058f47a19100fe23f3b66b1

UR - https://www.mendeley.com/catalogue/5b2894f4-9fd5-3648-af12-f25558e4205a/

U2 - 10.1109/ICLO59702.2024.10624105

DO - 10.1109/ICLO59702.2024.10624105

M3 - Conference contribution

SN - 9798350390674

T3 - 2024 International Conference Laser Optics, ICLO 2024 - Proceedings

SP - 316

BT - 2024 International Conference Laser Optics, ICLO 2024 - Proceedings

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 2024 International Conference Laser Optics

Y2 - 1 July 2024 through 5 July 2024

ER -