Nonlinear Fourier transform assisted high-order soliton characterization
Sign Up to like & getrecommendations! Published in 2022 at "New Journal of Physics"
DOI: 10.1088/1367-2630/ac5a86
Abstract: Nonlinear Fourier transform (NFT), based on the nonlinear Schrödinger equation, is implemented for the description of soliton propagation, and in particular focused on propagation of high-order solitons. In nonlinear frequency domain, a high-order soliton has… read more here.
Keywords: nonlinear fourier; order; order soliton; fourier transform ... See more keywords
Fast inverse nonlinear Fourier transformation using exponential one-step methods: Darboux transformation.
Sign Up to like & getrecommendations! Published in 2017 at "Physical Review E"
DOI: 10.1103/physreve.96.063302
Abstract: This paper considers the non-Hermitian Zakharov-Shabat (ZS) scattering problem which forms the basis for defining the SU(2) nonlinear Fourier transformation (NFT). The theoretical underpinnings of this generalization of the conventional Fourier transformation are quite well… read more here.
Keywords: fourier transformation; using exponential; transformation; one step ... See more keywords
Fast inverse nonlinear Fourier transform.
Sign Up to like & getrecommendations! Published in 2018 at "Physical Review E"
DOI: 10.1103/physreve.98.013304
Abstract: This paper considers the non-Hermitian Zakharov-Shabat scattering problem which forms the basis for defining the SU(2)-nonlinear Fourier transform (NFT). The theoretical underpinnings of this generalization of the conventional Fourier transform is quite well established in… read more here.
Keywords: fourier transform; fast inverse; inverse nonlinear; nonlinear fourier ... See more keywords
Modulation Over Nonlinear Fourier Spectrum: Continuous and Discrete Spectrum
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Lightwave Technology"
DOI: 10.1109/jlt.2018.2794475
Abstract: Nonlinear frequency division multiplexed (NFDM) systems are considered when data are modulated in both parts of the nonlinear Fourier spectrum: Continuous spectrum and discrete spectrum. An efficient algorithm is introduced to generate a time-domain signal… read more here.
Keywords: modulation nonlinear; spectrum; spectrum continuous; fourier spectrum ... See more keywords
Communication Using Eigenvalues of Higher Multiplicity of the Nonlinear Fourier Transform
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Lightwave Technology"
DOI: 10.1109/jlt.2018.2875557
Abstract: A generalized Nonlinear Fourier Transform (GNFT), which includes eigenvalues of higher multiplicity, is considered for information transmission over fiber optic channels. Numerical algorithms are developed to compute the direct and inverse GNFTs. For closely spaced… read more here.
Keywords: communication using; higher multiplicity; nonlinear fourier; fourier transform ... See more keywords
Data Transmission Based on Exact Inverse Periodic Nonlinear Fourier Transform, Part I: Theory
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Lightwave Technology"
DOI: 10.1109/jlt.2020.3013148
Abstract: The nonlinear Fourier transform (NFT) decomposes waveforms propagating through optical fiber into nonlinear degrees of freedom, which are preserved during transmission. By encoding information on the nonlinear spectrum, a transmission scheme inherently compatible with the… read more here.
Keywords: part; theory; nonlinear fourier; data transmission ... See more keywords
Data Transmission Based on Exact Inverse Periodic Nonlinear Fourier Transform, Part II: Waveform Design and Experiment
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Lightwave Technology"
DOI: 10.1109/jlt.2020.3013163
Abstract: The nonlinear Fourier transform has the potential to overcome limits on performance and achievable data rates which arise in modern optical fiber communication systems when nonlinear interference is treated as noise. The periodic nonlinear Fourier… read more here.
Keywords: nonlinear fourier; experiment; fourier transform; transmission ... See more keywords
Hermite-Gaussian Nonlinear Spectral Carriers for Optical Communication Systems Employing the Nonlinear Fourier Transform
Sign Up to like & getrecommendations! Published in 2022 at "IEEE Communications Letters"
DOI: 10.1109/lcomm.2021.3121541
Abstract: The nonlinear Fourier transform (NFT) is a new field of optical communications that borrows from the methods and concepts of integrable nonlinear equations, to develop new techniques of encoding and transmitting data, which are immune… read more here.
Keywords: nonlinear fourier; nonlinear spectral; fourier transform; gaussian nonlinear ... See more keywords
Characterization of sidebands in fiber lasers based on nonlinear Fourier transformation.
Sign Up to like & getrecommendations! Published in 2022 at "Optics express"
DOI: 10.1364/oe.479514
Abstract: Phase evolution of soliton and that of first-order sidebands in a fiber laser are investigated by using nonlinear Fourier transform (NFT). Development from dip-type sidebands to peak-type (Kelly) sidebands is presented. The phase relationship between… read more here.
Keywords: nonlinear fourier; lasers based; fiber lasers; characterization sidebands ... See more keywords