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The generation of rogue waves is investigated via a nonlocal nonlinear Schrodinger (NLS) equation. In this system, modulation instability is suppressed and is usually expected that rogue wave formation would also be limited. On the…

斑图形成与孤子 · 物理学 2017-04-26 Theodoros P. Horikis , Mark J. Ablowitz

In this Letter we analyze the benefit of digital compensation of fiber nonlinearity, where the digital signal processing is divided between the transmitter and receiver. The application of the Gaussian noise model indicates that, where…

Carrier frequency offset estimation (CFOE) is a critical stage in modern coherent optical communication systems. Although conventional all-digital techniques perform reliably in typical fiber-optic communication links, CFOE often becomes a…

信号处理 · 电气工程与系统科学 2026-03-31 I. P. Vieira , G. V. Serra , R. A. Colares , D. A. A. Mello

We study transmission stability and dynamics of pulse amplitudes in $N$-channel soliton-based optical waveguide systems, taking into account second-order dispersion, Kerr nonlinearity, delayed Raman response, and frequency dependent linear…

斑图形成与孤子 · 物理学 2016-06-07 Avner Peleg , Quan M. Nguyen , Thinh P. Tran

The propagation of ultrashort pulses in optical fibre displays complex nonlinear dynamics that find important applications in fields such as high power pulse compression and broadband supercontinuum generation. Such nonlinear evolution…

We measure spectra, spatial correlation functions and probability density functions (PDFs) for waves amplitudes for generalized one-dimensional nonlinear Schrodinger (NLS) equation of focusing type with saturated nonlinearity. All…

光学 · 物理学 2013-10-18 D. S. Agafontsev

The ever-increasing demand for processing data with larger machine learning models requires more efficient hardware solutions due to limitations such as power dissipation and scalability. Optics is a promising contender for providing lower…

This paper studies different signaling techniques on the continuous spectrum (CS) of nonlinear optical fiber defined by nonlinear Fourier transform. Three different signaling techniques are proposed and analyzed based on the statistics of…

信息论 · 计算机科学 2023-07-19 Iman Tavakkolnia , Majid Safari

The nonlinear Schr\"odinger equation (NLSE) is a fundamental model that describes diverse complex phenomena in nature. However, simulating the NLSE on a quantum computer is inherently challenging due to the presence of the nonlinear term.…

量子物理 · 物理学 2026-02-17 Kaiwen Weng , Zhaoyuan Meng , Guohui Hu

We investigate the well-posedness theory of the 2-D fractional nonlinear Schr\"odinger equation (NLSE) with a mixed degree of derivatives. Motivated by models in optics and photonics where the light propagation is governed by non-quadratic,…

偏微分方程分析 · 数学 2023-09-29 Brian Choi , Alejandro Aceves

For nonlinear dispersive systems, the nonlinear Schr\"odinger (NLS) equation can usually be derived as a formal approximation equation describing slow spatial and temporal modulations of the envelope of a spatially and temporally…

偏微分方程分析 · 数学 2021-01-18 Max Heß

We investigate propagation of J soliton sequences in a nonlinear optical waveguide array with generic weak Ginzburg-Landau (GL) gain-loss and nearest-neighbor (NN) interaction. The propagation is described by a system of J perturbed coupled…

斑图形成与孤子 · 物理学 2024-06-04 Avner Peleg , Toan T. Huynh

Non-Intrusive Load Monitoring (NILM) has emerged as a key smart grid technology, identifying electrical device and providing detailed energy consumption data for precise demand response management. Nevertheless, NILM data suffers from…

机器学习 · 计算机科学 2025-04-21 Yiran Wang , Tangtang Xie , Hao Wu

Alternative machine learning approaches that are computationally light with low latency and can work with only a small training dataset are needed for applications where the insatiable demand of deep learning methods for computing power and…

光学 · 物理学 2021-07-29 Tingyi Zhou , Fabien Scalzo , Bahram Jalali

We show that an integro-differential equation model for pulse propagation in optical transmission lines with dispersion management, is integrable at the {\it leading nonlinear order}. This equation can be transformed into the nonlinear…

chao-dyn · 物理学 2007-05-23 Yuri V. Lvov , Ildar R. Gabitov

We present a systematic study on linear propagation of ultrashort laser pulses in media with dispersion, dispersionless media and vacuum. The applied method of amplitude envelopes gives the opportunity to estimate the limits of slowly…

光学 · 物理学 2008-01-15 Lubomir M. Kovachev

This paper considers the problem of closed-loop identification of linear scalar systems with Gaussian process noise, where the system input is determined by a deterministic state feedback policy. The regularized least-square estimate (LSE)…

系统与控制 · 电气工程与系统科学 2020-03-30 Ali Reza Pedram , Takashi Tanaka

In this article, we propose a modified nonlinear Schr\"odinger equation for modeling pulse propagation in optical waveguides. The proposed model bifurcates into a system of elliptic and hyperbolic equations depending on waveguide…

数值分析 · 数学 2024-12-05 Ankit Chakraborty , Judit Munoz-Matute , Leszek Demkowicz , Jake Grosek

An upper bound on the capacity of a cascade of nonlinear and noisy channels is presented. The cascade mimics the split-step Fourier method for computing waveform propagation governed by the stochastic generalized nonlinear Schroedinger…

信息论 · 计算机科学 2015-04-24 Gerhard Kramer , Mansoor I. Yousefi , Frank R. Kschischang

We present a general formulation to calculate the dynamic optical conductivity, beyond the linear response regime, of any electronic system whose quasiparticle dispersion is described by a two band model. Our phenomenological model is based…

介观与纳米尺度物理 · 物理学 2017-04-19 Ashutosh Singh , Tuhina Satpati , Kirill I. Bolotin , Saikat Ghosh , Amit Agarwal