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Fiber nonlinearity effects cap achievable rates and ranges in long-haul optical fiber communication links. Conventional nonlinearity compensation methods, such as perturbation theory-based nonlinearity compensation (PB-NLC), attempt to…

信号处理 · 电气工程与系统科学 2023-07-19 Shenghang Luo , Sunish Kumar Orappanpara Soman , Lutz Lampe , Jeebak Mitra

For quasi-linear interface problems with discontinuous diffusion coefficients, the nonconvex objective functional often leads to optimization stagnation in randomized neural network approximations. This paper Proposes a…

数值分析 · 数学 2026-02-06 Siyuan Lang , Zhiyue Zhang

The Linear Parameter-Varying (LPV) framework has been introduced with the intention to provide stability and performance guarantees for analysis and controller synthesis for Nonlinear (NL) systems via convex methods. By extending results of…

系统与控制 · 电气工程与系统科学 2023-03-08 Patrick J. W. Koelewijn , Roland Tóth , Henk Nijmeijer , Siep Weiland

Transmission through optical fibers offers ultra-fast and long-haul communications. However, the search for its ultimate capacity limits in the presence of distributed amplifier noise is complicated by the competition between wave…

信息论 · 计算机科学 2026-01-14 Pavlos Kazakopoulos , Aris L. Moustakas

The GN model of non-linear fiber propagation has been shown to overestimate the variance of non-linearity due to the signal Gaussianity approximation, leading to maximum reach predictions for realistic optical systems which may be…

光学 · 物理学 2015-06-18 P. Poggiolini , G. Bosco , A. Carena , V. Curri , Y. Jiang , F. Forghieri

The well-known (1+1D) nonlinear Schr\"odinger equation (NSE) governs the propagation of narrow-band pulses in optical fibers and others one-dimensional structures. For exploration the evolution of broad-band optical pulses (femtosecond and…

光学 · 物理学 2016-12-26 D. Dakova , A. Dakova , V. Slavchev , L. Kovachev

We report optical fiber experiments allowing to investigate integrable turbulence in the focusing regime of the one dimensional nonlinear Schr\"odinger equation (1D-NLSE). Our experiments are very similar in their principle to water tank…

斑图形成与孤子 · 物理学 2015-04-16 Pierre Walczak , Stéphane Randoux , Pierre Suret

The nonlinear propagation of ultrashort pulses in optical fiber depends sensitively on both input pulse and fiber parameters. As a result, optimizing propagation for specific applications generally requires time-consuming simulations based…

计算物理 · 物理学 2022-02-16 Lauri Salmela , Mathilde Hary , Mehdi Mabed , Alessandro Foi , John M. Dudley , Goëry Genty

Phase-noise (PN) estimation and compensation are crucial in millimeter-wave (mmWave) communication systems to achieve high reliability. The PN estimation, however, suffers from high computational complexity due to its fundamental…

信息论 · 计算机科学 2021-09-29 MinKeun Chung , Liang Liu , Ove Edfors

Nonlinear SU(1,1) quantum interferometers based on non-degenerate optical parametric down-conversion exhibit strong unbalanced group velocity dispersion (GVD). This feature is intrinsic to this type of interferometer as correlated photons…

光学 · 物理学 2026-02-06 Ivan Zorin , Paul Gattinger

We introduce spatiotemporal optical dark X solitary waves of the (2+1)D {hyperbolic} nonlinear Schr\"odinger equation (NLSE), that rules wave propagation in a self-focusing and normally dispersive medium. These analytical solutions are…

斑图形成与孤子 · 物理学 2016-09-01 F. Baronio , S. Wabnitz , S. Chen , M. Onorato , S. Trillo , Y. Kodama

The channel capacity of a nonlinear, dispersive fiber-optic link is revisited. To this end, the popular Gaussian noise (GN) model is extended with a parameter to account for the finite memory of realistic fiber channels. This finite-memory…

信息论 · 计算机科学 2015-01-07 Erik Agrell , Alex Alvarado , Giuseppe Durisi , Magnus Karlsson

The propagation of stable coherent entities of an electromagnetic field in nonlinear media with parameters varying in space can be described in the framework of iterations of nonlinear integral transformations. It is shown that for a set of…

斑图形成与孤子 · 物理学 2020-12-10 A. Yu. Okulov

High-frequency wave propagation is often modelled by nonlinear Friedrichs systems where both the differential equation and the initial data contain the inverse of a small parameter $\varepsilon$, which causes oscillations with wavelengths…

偏微分方程分析 · 数学 2024-02-21 Julian Baumstark , Tobias Jahnke

The ability to control the speed and polarisation of light pulses will allow for faster data flow in optical networks of the future. Optical delay and switching have been achieved using slow-light techniques in various media, including…

原子物理 · 物理学 2009-04-08 Paul Siddons , Nia C Bell , Yifei Cai , Charles S Adams , Ifan G Hughes

In coherent optical orthogonal frequency-division multiplexing (CO-OFDM) fiber communications, a novel end-to-end learning framework to mitigate Laser Phase Noise (LPN) impairments is proposed in this paper. Inspired by Autoencoder (AE)…

信号处理 · 电气工程与系统科学 2025-06-24 Omar Alnaseri , Yassine Himeur

We report a generalized nonlinear Schr\"odinger equation simulation model of an extreme learning machine (ELM) based on optical fiber propagation. Using the MNIST handwritten digit dataset as a benchmark, we study how accuracy depends on…

We study noise-induced perturbations of dispersion-managed solitons by developing soliton perturbation theory for the dispersion-managed nonlinear Schroedinger (DMNLS) equation, which governs the long-term behavior of optical fiber…

斑图形成与孤子 · 物理学 2009-11-13 Jinglai Li , Elaine Spiller , Gino Biondini

We discuss the behavior of solitary wave solutions of the nonlinear Schr{\"o}dinger equation (NLSE) as they interact with complex potentials, using a four parameter variational approximation based on a dissipation functional formulation of…

斑图形成与孤子 · 物理学 2016-09-21 Franz G. Mertens , Fred Cooper , Edward Arevalo , Avinash Khare , Avadh Saxena , A. R. Bishop

The local and non-local vector Non-linear Schrodinger Equation (NLSE) with a general cubic non-linearity are considered in presence of a linear term characterized, in general, by a non-hermitian matrix which under certain condition…

可精确求解与可积系统 · 物理学 2022-09-29 Debdeep Sinha