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In optical fiber communication, system identification (SI) for the nonlinear Schr\"odinger equation (NLSE) has long been studied mainly for fiber nonlinearity compensation (NLC). One recent line of inquiry to combine a behavioral-model…

信号处理 · 电气工程与系统科学 2021-04-14 Takeo Sasai , Masanori Nakamura , Etsushi Yamazaki , Shuto Yamamoto , Hideki Nishizawa , Yoshiaki Kisaka

Derived from the regular perturbation treatment of the nonlinear Schrodinger equation, a machine learning-based scheme to mitigate the intra-channel optical fiber nonlinearity is proposed. Referred to as the perturbation theory-aided (PA)…

信号处理 · 电气工程与系统科学 2022-04-06 Xiang Lin , Shenghang Luo , Sunish Kumar Orappanpara Soman , Octavia A. Dobre , Lutz Lampe , Deyuan Chang , Chuandong Li

The propagation of pulses in optical fibers is described by the generalized nonlinear Schrodinger equation (GNLSE), which takes into account the fiber losses, nonlinear effects, and higher-order chromatic dispersion. The GNLSE is a partial…

In this research, numerical analysis of nonlinear pulse propagation is carried out. This is done mainly by solving the nonlinear Schrodinger equation using the split step algorithm. In a nonlinear media, dispersive effects exist…

光学 · 物理学 2025-04-24 Yogesh Deo , Meenu Shrestha , Om Nath Acharya

Two discrete-time interference channel models are developed for information transmission over a single span of optical fiber using wavelength-division multiplexing (WDM) and lumped amplification. The models are derived from the nonlinear…

信息论 · 计算机科学 2017-08-14 Hassan Ghozlan , Gerhard Kramer

We study a stochastic Nonlinear Schroedinger Equation (NLSE), with additive white Gaussian noise, by means of the Nonlinear Fourier Transform (NFT). In particular, we focus on the propagation of discrete eigenvalues along a focusing fiber.…

斑图形成与孤子 · 物理学 2020-06-05 Laura Prati , Luigi Barletti

The propagation of optical pulses in two types of fibers with randomly varying dispersion is investigated. The first type refers to a uniform fiber dispersion superimposed by random modulations with a zero mean. The second type is the…

斑图形成与孤子 · 物理学 2009-11-10 F. Kh. Abdullaev , D. V. Navotny , B. B. Baizakov

In this paper we present a general framework for solving the stationary nonlinear Schr\"odinger equation (NLSE) on a network of one-dimensional wires modelled by a metric graph with suitable matching conditions at the vertices. A formal…

斑图形成与孤子 · 物理学 2016-05-05 Sven Gnutzmann , Daniel Waltner

We develop a model for the description of nonlinear pulse propagation in multimode optical fibers with a parabolic refractive index profile. It consists in a 1+1D generalized nonlinear Schr\"odinger equation with a periodic nonlinear…

光学 · 物理学 2017-11-22 Matteo Conforti , Carlos Mas Arabi , Arnaud Mussot , Alexandre Kudlinski

A low-complexity model for signal quality prediction in a nonlinear fiber-optical network is developed. The model, which builds on the Gaussian noise model, takes into account the signal degradation caused by a combination of chromatic…

光学 · 物理学 2015-01-07 Pontus Johannisson , Erik Agrell

Remarkable mathematical properties of the integrable nonlinear Schr\"odinger equation (NLSE) can offer advanced solutions for the mitigation of nonlinear signal distortions in optical fibre links. Fundamental optical soliton, continuous and…

可精确求解与可积系统 · 物理学 2017-06-07 L. L. Frumin , A. A. Gelash , S. K. Turitsyn

We present a nonlinear optical platform to emulate a nonlinear \textit{L\'{e}vy waveguide} that supports the pulse propagation governed by a generalized fractional nonlinear Schr\"{o}dinger equation (FNLSE). Our approach distinguishes…

The nonlinear Schr\"odinger (NLS) equation is a fundamental model for the nonlinear propagation of light pulses in optical fibers. We consider an integrable generalization of the NLS equation which was first derived by means of…

光学 · 物理学 2008-10-30 Jonatan Lenells

We propose a new machine-learning approach for fiber-optic communication systems whose signal propagation is governed by the nonlinear Schr\"odinger equation (NLSE). Our main observation is that the popular split-step method (SSM) for…

信号处理 · 电气工程与系统科学 2020-10-28 Christian Häger , Henry D. Pfister

The modeling of optical wave propagation in optical fiber is a task of fast and accurate solving the nonlinear Schr\"odinger equation (NLSE), and can enable the optical system design, digital signal processing verification and fast waveform…

信号处理 · 电气工程与系统科学 2022-05-17 Hang Yang , Zekun Niu , Haochen Zhao , Shilin Xiao , Weisheng Hu , Lilin Yi

We introduce a system of fractional nonlinear Schroedinger equations (FNLSEs) which model the copropagation of optical waves carried by different wavelengths or mutually orthogonal circular polarizations in fiber-laser cavities with the…

斑图形成与孤子 · 物理学 2024-05-14 Tandin Zangmo , Thawatchai Mayteevarunyoo , Boris A. Malomed

We quantify noise-induced phase deviations of dispersion-managed solitons in optical fiber communications and femtosecond lasers. We first develop a perturbation theory for the dispersion-managed nonlinear Schrodinger equation (DMNLSE) in…

斑图形成与孤子 · 物理学 2009-07-15 Elaine Spiller , Gino Biondini

The capacity of the channel defined by the stochastic nonlinear Schr\"odinger equation, which includes the effects of the Kerr nonlinearity and amplified spontaneous emission noise, is considered in the case of zero dispersion. In the…

信息论 · 计算机科学 2014-10-09 Mansoor I. Yousefi , Frank R. Kschischang

The modeling and prediction of the ultrafast nonlinear dynamics in the optical fiber are essential for the studies of laser design, experimental optimization, and other fundamental applications. The traditional propagation modeling method…

光学 · 物理学 2022-11-30 Hang Yang , Haochen Zhao , Zekun Niu , Guoqing Pu , Shilin Xiao , Weisheng Hu , Lilin Yi

Nonlinear signal distortions are one of the primary factors limiting the capacity and reach of optical transmission systems. Currently, several approaches exist for compensating nonlinear distortions, but for practical implementation,…

光学 · 物理学 2024-10-01 Alexey Redyuk , Evgeny Shevelev , Vitaly Danilko , Mikhail Fedoruk
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