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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…

Signal Processing · Electrical Eng. & Systems 2020-10-28 Christian Häger , Henry D. Pfister

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,…

Quantum Physics · Physics 2025-09-24 Louis Rossignol , Tangui Aladjidi , Myrann Baker-Rasooli , Quentin Glorieux

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)…

Signal Processing · Electrical Eng. & Systems 2022-04-06 Xiang Lin , Shenghang Luo , Sunish Kumar Orappanpara Soman , Octavia A. Dobre , Lutz Lampe , Deyuan Chang , Chuandong Li

In this work, we use an explainable convolutional neural network (NLS-Net) to solve an inverse problem of the nonlinear Schr\"odinger equation, which is widely used in fiber-optic communications. The landscape and minimizers of the…

Numerical Analysis · Mathematics 2021-07-20 Yiran Wang , Zhen Li

Digital backpropagation (DBP) is one of the most effective techniques for compensating nonlinear distortions in coherent optical fiber communication systems. However, its practical application to wideband transmission remains limited by…

Efficient nonlinearity compensation in fiber-optic communication systems is considered a key element to go beyond the "capacity crunch''. One guiding principle for previous work on the design of practical nonlinearity compensation schemes…

Signal propagation in an optical fiber can be described by the nonlinear Schr\"odinger equation (NLSE). The NLSE has no known closed-form solution, mostly due to the interaction of dispersion and nonlinearities. In this paper, we present a…

Signal Processing · Electrical Eng. & Systems 2024-01-25 Vinícius Oliari , Erik Agrell , Gabriele Liga , Alex Alvarado

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…

Signal Processing · Electrical Eng. & Systems 2022-05-17 Hang Yang , Zekun Niu , Haochen Zhao , Shilin Xiao , Weisheng Hu , Lilin Yi

Deep neural networks (DNNs) have achieved exceptional performance across various fields by learning complex, nonlinear mappings from large-scale datasets. However, they face challenges such as high memory requirements and computational…

Machine Learning · Computer Science 2025-04-21 Callen MacPhee , Yiming Zhou , Bahram Jalali

We investigate methods for experimental performance enhancement of auto-encoders based on a recurrent neural network (RNN) for communication over dispersive nonlinear channels. In particular, our focus is on the recently proposed sliding…

Signal Processing · Electrical Eng. & Systems 2020-05-19 Boris Karanov , Mathieu Chagnon , Vahid Aref , Filipe Ferreira , Domanic Lavery , Polina Bayvel , Laurent Schmalen

A physics-informed neural network (PINN) that combines deep learning with physics is studied to solve the nonlinear Schr\"odinger equation for learning nonlinear dynamics in fiber optics. We carry out a systematic investigation and…

Optics · Physics 2021-09-03 Xiaotian Jiang , Danshi Wang , Qirui Fan , Min Zhang , Chao Lu , Alan Pak Tao Lau

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…

Pattern Formation and Solitons · Physics 2019-12-24 N. Karjanto

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…

Signal Processing · Electrical Eng. & Systems 2023-07-19 Shenghang Luo , Sunish Kumar Orappanpara Soman , Lutz Lampe , Jeebak Mitra

A neural-network-based approach is presented to efficiently implement digital backpropagation (DBP). For a 32x100 km fiber-optic link, the resulting "learned" DBP significantly reduces the complexity compared to conventional DBP…

Information Theory · Computer Science 2017-10-18 Christian Häger , Henry D. Pfister

Nonlinear and dispersive transmission impairments in coherent fiber-optic communication systems are often compensated by reverting the nonlinear Schr\"odinger equation, which describes the evolution of the signal in the link, numerically.…

Information Theory · Computer Science 2015-09-30 Sander Wahls , Son T. Le , Jaroslaw E. Prilepsky , H. Vincent Poor , Sergei K. Turitsyn

We utilize the Feature Decoupling Distributed (FDD) method to enhance the capability of deep learning to fit the Nonlinear Schrodinger Equation (NLSE), significantly reducing the NLSE loss compared to non decoupling model.

Signal Processing · Electrical Eng. & Systems 2024-11-08 Yunfan Zhang , Zekun Niu , Minghui Shi , Weisheng Hu , Lilin Yi

Overcoming fiber nonlinearity is one of the core challenges limiting the capacity of optical fiber communication systems. Machine learning based solutions such as learned digital backpropagation (LDBP) and the recently proposed deep…

Signal Processing · Electrical Eng. & Systems 2023-07-19 Prasham Jain , Lutz Lampe , Jeebak Mitra

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…

This paper investigates data-driven solutions and parameter discovery to (2+1)-dimensional coupled nonlinear Schr\"odinger equations with variable coefficients (VC-CNLSEs), which describe transverse effects in optical fiber systems under…

Optics · Physics 2025-08-21 Hamid Momeni , AllahBakhsh Yazdani Cherati , Ali Valinejad

Non linear fiber optics concerns with the non linear optical phenomena occurring inside optical fibers. The propagation of light in single-mode fibers is governed by the one-dimensional nonlinear Schr\"odinger equation (NLS) in the presence…

Mathematical Physics · Physics 2016-12-02 Domenico Felice
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