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A general theory of nonlinear signal-noise interactions for wavelength division multiplexed fiber-optic coherent transmission systems is presented. This theory is based on the regular perturbation treatment of the nonlinear Schrodinger…

信息论 · 计算机科学 2017-04-24 Amirhossein Ghazisaeidi

The nonlinear Schr\"odinger equation (NLSE) is a fundamental model for wave dynamics in nonlinear media ranging from optical fibers to Bose-Einstein condensates. Accurately estimating its parameters, which are often strongly correlated,…

量子物理 · 物理学 2025-09-24 Louis Rossignol , Tangui Aladjidi , Myrann Baker-Rasooli , Quentin Glorieux

The properties of pulse propagation in a nonlinear fiber including linear damped term added in the usual nonlinear Schr\"odinger equation is analyzed analytically. We apply variational modified approach based on the lagrangian that describe…

光学 · 物理学 2007-05-23 Dagoberto S Freitas , Jairo R de Oliveira

In this paper, we investigate and assess the performance of intra-channel nonlinearity compensation (IC-NLC) in long-haul coherent optical transmission systems with a symbol rate of 200 GBaud and beyond. We first evaluate the potential gain…

光学 · 物理学 2025-07-29 Zhiyuan Yang , Mengfan Fu , Yihao Zhang , Qizhi Qiu , Lilin Yi , Weisheng Hu , Qunbi Zhuge

The nonlinear Schr\"odinger equation (NLSE) models the slowly varying envelope dynamics of a weakly nonlinear quasi-monochromatic wave packet in dispersive media. In the context of Bose-Einstein condensate (BEC), it is often referred to as…

斑图形成与孤子 · 物理学 2019-12-24 N. Karjanto

In this work, we study the propagation of solitons in lossy optical fibers. The main objective of this work is to study the loss of energy of the soliton wave during propagation and then to evaluate the impact of this loss on the…

We consider the nonlinear stability of spectrally stable periodic waves in the Lugiato-Lefever equation (LLE), a damped nonlinear Schr\"odinger equation with forcing that arises in nonlinear optics. So far, nonlinear stability of such…

偏微分方程分析 · 数学 2024-09-24 Mariana Haragus , Mathew A. Johnson , Wesley R. Perkins , Björn de Rijk

We consider the information channel described by Schr\"{o}dinger equation with additive Gaussian noise. We introduce the model of the input signal and the model of the output signal receiver. For this channel, using perturbation theory for…

信息论 · 计算机科学 2022-03-02 A. V. Reznichenko , A. I. Chernykh , E. V. Sedov , I. S. Terekhov

After reviewing models and mitigation strategies for interchannel nonlinear interference (NLI), we focus on the frequency-resolved logarithmic perturbation model to study the coherence properties of NLI. Based on this study, we devise an…

信息论 · 计算机科学 2024-01-25 Marco Secondini , Erik Agrell , Enrico Forestieri , Domenico Marsella , Menelaos Ralli Camara

A perturbation theory for the Nonlinear Schroedinger Equation (NLSE) in 1D on a lattice was developed. The small parameter is the strength of the nonlinearity. For this purpose secular terms were removed and a probabilistic bound on small…

无序系统与神经网络 · 物理学 2013-08-30 Shmuel Fishman , Yevgeny Krivolapov , Avy Soffer

We consider the optical fiber channel modelled by the nonlinear Schr\"{o}dinger equation with additive white Gaussian noise and with large signal-to-noise ratio. For the small dispersion case we present the approach to analyze the…

信息论 · 计算机科学 2019-05-22 A. V. Reznichenko , I. S. Terekhov

Recently, a perturbative model of non-linear fiber propagation in uncompensated optical transmission systems has been proposed, called GN-model [1]. Here, an extended and more detailed version of the GN-model derivation [1] is reported,…

We present a novel closed-form model for nonlinear interference (NLI) estimation in low-dispersion O-band transmission systems. The formulation incorporates the four-wave mixing (FWM) efficiency term as well as the coherent contributions of…

The nonlinear pulse propagation in an optical fibers with varying parameters is investigated. The capture of moving in the frequency domain femtosecond colored soliton by a dispersive trap formed in an amplifying fiber makes it possible to…

光学 · 物理学 2015-06-26 Vladimir N. Serkin , Akira Hasegawa

The non-reciprocal and dynamic nature of polarization mode dispersion (PMD) in optical fibers can be a problem for accurate time and frequency transfer. Here a simple, passive solution is put forward that is based on transmitting optical…

光学 · 物理学 2022-04-13 Thomas Fordell

Motivated by the looming "capacity crunch" in fiber-optic networks, information transmission over such systems is revisited. Among numerous distortions, inter-channel interference in multiuser wavelength-division multiplexing (WDM) is…

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

We consider the nonlinear propagation of light in an optical fiber waveguide as modeled by the anharmonic Maxwell-Lorentz equations (AMLE). The waveguide is assumed to have an index of refraction which varies periodically along its length.…

斑图形成与孤子 · 物理学 2009-10-31 Roy H. Goodman , Michael I. Weinstein , Philip J. Holmes

We conduct an experimental investigation of nonlinearity management in optics using femtosecond pulses and layered Kerr media consisting of glass and air. By examining the propagation properties over several diffraction lengths, we show…

斑图形成与孤子 · 物理学 2009-11-11 Martin Centurion , Mason A. Porter , P. G. Kevrekidis , Demetri Psaltis

We report a technique for coherence transfer of laser light through a fiber link, where the optical phase noise induced by environmental perturbation via the fiber link is compensated by remote users with passive phase noise correction,…

光学 · 物理学 2020-07-30 Liang Hu , Xueyang Tian , Guiling Wu , Mengya Kong , Jianguo Shen , Jianping Chen

A new method for finding solutions of the nonlinear Shr\"{o}dinger equation is proposed. Comutative multiplicative group of the nonlinear transformations, which operate on stationary localized solutions, enables a consideration of fractal…

solv-int · 物理学 2009-09-25 S. Lekic , S. Galamic , Z. Rajilic