Nonlinear Fourier transform for optical data processing and transmission: advances and perspectives

SK Turitsyn, JE Prilepsky, ST Le, S Wahls, LL Frumin… - Optica, 2017‏ - opg.optica.org
Fiber-optic communication systems are nowadays facing serious challenges due to the fast
growing demand on capacity from various new applications and services. It is now well …

Spectral theory of soliton and breather gases for the focusing nonlinear Schrödinger equation

G El, A Tovbis - Physical Review E, 2020‏ - APS
Solitons and breathers are localized solutions of integrable systems that can be viewed as
“particles” of complex statistical objects called soliton and breather gases. In view of the …

A prince for the slee** beauty-NFT for soliton signal processing

Y Wang, C Li, F Chen, H Lan, S Fu, M Klimczak… - Optics …, 2023‏ - Elsevier
The soliton, the eigen-solution of nonlinear Schrodinger equation (NLSE), has been
investigated in many branches of physics. The first prediction of a soliton in optical fiber …

Nonlinear frequency division multiplexing with b-modulation: shifting the energy barrier

T Gui, G Zhou, C Lu, APT Lau, S Wahls - Optics express, 2018‏ - opg.optica.org
The recently proposed b-modulation method for nonlinear Fourier transform-based fiber-
optic transmission offers explicit control over the duration of the generated pulses and …

Coexistence of Gaussian and non-Gaussian statistics in vector integrable turbulence

ZY Sun, X Yu, YJ Feng - Physical Review E, 2023‏ - APS
Integrable turbulence studies the complex dynamics of random waves for the nonlinear
integrable systems, and it has become an important element in exploring the sophisticated …

Linear and nonlinear frequency-division multiplexing

M Yousefi, X Yangzhang - IEEE Transactions on Information …, 2019‏ - ieeexplore.ieee.org
Two signal multiplexing schemes for optical fiber communication are considered:
Wavelength-division multiplexing (WDM) and nonlinear frequency-division multiplexing …

Multi-symbol digital signal processing techniques for discrete eigenvalue transmissions based on nonlinear Fourier transform

G Zhou, L Sun, C Lu, APT Lau - Journal of Lightwave technology, 2021‏ - opg.optica.org
Optical communications based on Nonlinear Fourier Transform (NFT) and digital coherent
transceivers are proposed as a new theoretical framework for communications over the …

Nonlinear spectral analysis of Peregrine solitons observed in optics and in hydrodynamic experiments

S Randoux, P Suret, A Chabchoub, B Kibler, G El - Physical Review E, 2018‏ - APS
The data recorded in optical fiber and in hydrodynamic experiments reported the pioneering
observation of nonlinear waves with spatiotemporal localization similar to the Peregrine …

Fiber nonlinearity and optical system performance

A Bononi, R Dar, M Secondini, P Serena… - Springer Handbook of …, 2020‏ - Springer
This chapter aims to provide a comprehensive picture of the impact of fiber nonlinear effects
on modern coherent wavelength division multiplexing (WDM) systems' performance. First …

Correlation-aided nonlinear spectrum detection

Q Zhang, FR Kschischang - Journal of Lightwave Technology, 2021‏ - opg.optica.org
It is shown that a higher spectral efficiency (SE) can be achieved in a narrow-bandwidth-
modulated NFDM subsystem than a moderate-bandwidth one. Exploiting the statistical …