Journal ArticleDOI
Bi-Directional Algorithm for Computing Discrete Spectral Amplitudes in the NFT
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TLDR
The proposed bi-directional algorithm is used to obtain accurate spectral-domain noise statistics for 2-soliton signals using numerical simulation and addresses the significant problem of rounding errors inherent in previously known techniques.Abstract:
The nonlinear Fourier transform represents a signal in terms of its continuous spectrum, discrete eigenvalues, and the corresponding discrete spectral amplitudes. This paper presents a new bi-directional algorithm for computing the discrete spectral amplitudes, which addresses the significant problem of rounding errors inherent in previously known techniques. We use the proposed method to obtain accurate spectral-domain noise statistics for 2-soliton signals using numerical simulation.read more
Citations
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Journal ArticleDOI
Nonlinear Fourier transform for optical data processing and transmission: advances and perspectives
Sergei K. Turitsyn,Jaroslaw E. Prilepsky,Son Thai Le,Sander Wahls,Leonid L. Frumin,Morteza Kamalian,Stanislav A. Derevyanko +6 more
TL;DR: The nonlinear Fourier transform is a transmission and signal processing technique that makes positive use of the Kerr nonlinearity in optical fibre channels.
Journal ArticleDOI
Nonlinear signal multiplexing for communication beyond the Kerr nonlinearity limit
TL;DR: In this article, the authors show that a transmission performance beyond the conventional Kerr nonlinearity limit can be achieved by encoding all the available degrees of freedom and nonlinearly multiplexing signals in the so-called nonlinear Fourier spectrum, which evolves linearly along the fibre link.
Journal ArticleDOI
Alternative Decoding Methods for Optical Communications Based on Nonlinear Fourier Transform
TL;DR: Two alternative decoding methods are proposed to reduce computational complexity in discrete eigenvalue modulation systems, and symbol decisions are avoided at a prescribed set of ${\boldsymbol{\lambda }}$ values.
Journal ArticleDOI
Modulation Over Nonlinear Fourier Spectrum: Continuous and Discrete Spectrum
TL;DR: In this paper, a time-domain signal from a given nonlinear spectrum was generated from a single-mode fiber with EDFA-only amplification using a nonlinear frequency division multiplexed (NFDM) system.
Journal ArticleDOI
High-order modulation on a single discrete eigenvalue for optical communications based on nonlinear Fourier transform.
TL;DR: It is found that while modulation on the real part of the eigenvalue induces pulse timing drift and leads to neighboring pulse interactions and nonlinear inter-symbol interference (ISI), it is more bandwidth efficient than modulation in practical settings.
References
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Journal Article
Exact Theory of Two-dimensional Self-focusing and One-dimensional Self-modulation of Waves in Nonlinear Media
Journal ArticleDOI
Transmission of stationary nonlinear optical pulses in dispersive dielectric fibers. I. Anomalous dispersion
Akira Hasegawa,Frederick Tappert +1 more
TL;DR: Theoretical calculations supported by numerical simulations show that utilization of the nonlinear dependence of the index of refraction on intensity makes possible the transmission of picosecond optical pulses without distortion in dielectric fiber waveguides with group velocity dispersion.
Journal ArticleDOI
Random walk of coherently amplified solitons in optical fiber transmission
James P. Gordon,Hermann A. Haus +1 more
TL;DR: It is shown that amplifier noise causes a soliton's group velocity to undergo a random-walk process, which limits the system's product of length times bit rate, in one example, to about 24 000 GHz-km.
Journal ArticleDOI
Optimization of the split-step Fourier method in modeling optical-fiber communications systems
TL;DR: In this paper, the efficiency of different implementations of the split-step Fourier method for solving the nonlinear Schro/spl uml/dinger equation that employ different step-size selection criteria was compared.
BookDOI
Darboux Transformations in Integrable Systems
TL;DR: In this paper, the authors present the Darboux transformation in matrix form and provide purely algebraic algorithms for constructing the explicit solutions for many integrable systems, including harmonic maps from 2-dimensional manifolds, self-dual Yang-Mills fields and the generalizations to higher dimensional case.