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We present a data-driven pipeline for model building that combines interpretable machine learning, hydrodynamic theories, and microscopic models. The goal is to uncover the underlying processes governing nonlinear dynamics experiments. We…

软凝聚态物质 · 物理学 2024-04-22 Jonathan Colen , Alexis Poncet , Denis Bartolo , Vincenzo Vitelli

We present an open-source multimode nonlinear Schr\"odinger equation-based simulation to investigate spatiotemporal nonlinear pulse propagation in thin-film silicon nitride (SiN) waveguides. Using this framework, we analyze femtosecond…

光学 · 物理学 2025-08-27 Azka Maula Iskandar Muda , Uğur Teğin

In this paper, the trial function method is employed to find the exact solutions for high-order nonlinear Schr\"odinger equations with time-dependent coefficients. This system describes the propagation of ultrashort light pulses in…

斑图形成与孤子 · 物理学 2020-10-15 Xin-Lei Mai , Wei Li

Structured optical waveforms are emerging as powerful control fields for the next generation of complex photonic and electromagnetic systems, where the temporal structure of light can determine the ultimate performance of scientific…

In this chapter, we discuss experiments that realize the discrete nonlinear Schr\"odinger (DNLS) equations. The relevance of such descriptions arises from the competition of three common features: nonlinearity, dispersion, and a medium to…

量子气体 · 物理学 2016-09-08 Mason A. Porter

Multi-photon microscopy has played a significant role in biological imaging since it allows to observe living tissues with improved penetration depth and excellent sectioning effect. Multi-photon microscopy relies on multi-photon…

A model is studied which describes a propagation of a subpicosecond optical pulse in dispersion-managed fibre links. In the limit of weak chromatic dispersion management, the model equation is reduced to a perturbed modified NLS equation…

可精确求解与可积系统 · 物理学 2009-11-11 Evgeny V. Doktorov

Spatiotemporal nonlinear interactions in multimode fibers are of interest for beam shaping and frequency conversion by exploiting the nonlinear propagation of different pump regimes from quasi-continuous wave to ultrashort pulses centered…

Harnessing pulse generation from an ultrafast laser is a challenging task as reaching a specific mode-locked regime generally involves adjusting multiple control parameters, in connection with a wide range of accessible pulse dynamics.…

光学 · 物理学 2021-08-24 Xiuqi Wu , Junsong Peng , Sonia Boscolo , Ying Zhang , Christophe Finot , Heping Zeng

We describe similariton pulse propagation in double-doped optical fibers with the aid of self-similarity analysis of the cubic-quintic nonlinear Schr\"odinger equation with varying dispersion, nonlinearity, gain or absorption, and nonlinear…

斑图形成与孤子 · 物理学 2011-07-13 Thokala Soloman Raju

We examine the general question of statistical changes experienced by ensembles of nonlinear random waves propagating in systems ruled by integrable equations. In our study that enters within the framework of integrable turbulence, we…

光学 · 物理学 2016-08-24 S. Randoux , P. Walczak , M. Onorato , P. Suret

Optical soliton pulses offer many applications within optical communication systems, but by definition a soliton is only subjected to second-order anomalous group-velocity-dispersion; an understanding of higher-order dispersion is necessary…

光学 · 物理学 2015-06-12 Matthew Marko , Andrzej Veitia , Xiujian Li , Jiangjun Zheng , Cheewei Wong

We study artificial neural networks with nonlinear waves as a computing reservoir. We discuss universality and the conditions to learn a dataset in terms of output channels and nonlinearity. A feed-forward three-layer model, with an…

光学 · 物理学 2020-09-02 Giulia Marcucci , Davide Pierangeli , Claudio Conti

We experimentally investigate a nonlinear switching mechanism in a dual-core highly nonlinear optical fiber. We focus the input beam of femtosecond pulses on one core only, to identify transitions between inter-core oscillations,…

Based on conservation laws as one of the important integrable properties of nonlinear physical models, we design a modified physics-informed neural network method based on the conservation law constraint. From a global perspective, this…

斑图形成与孤子 · 物理学 2021-08-31 Gang-Zhou Wu , Yin Fang , Yue-Yue Wang , Chao-Qing Dai

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

Optical computing systems provide an alternate hardware model which appears to be aligned with the demands of neural network workloads. However, the challenge of implementing energy efficient nonlinearities in optics -- a key requirement…

光学 · 物理学 2025-08-04 N. Richardson , C. Bosch , R. P. Adams

A method is shown for preventing temporal broadening of ultrafast optical pulses in highly dispersive and fluctuating media for arbitrary signal-pulse profiles. Pulse pairs, consisting of a strong-field control-pulse and a weak-field…

光学 · 物理学 2021-11-17 Haider Zia

Exact expressions are obtained for a diversity of propagating patterns for a derivative nonlinear Schr\"odinger equation with a quintic nonlinearity. These patterns include bright pulses, fronts and dark solitons. The evolution of the wave…

斑图形成与孤子 · 物理学 2012-07-12 C. Rogers , B. A. Malomed , J. H. Li , K. W. Chow

Constellation shaping is a practical and effective technique to improve the performance and the rate adaptivity of optical communication systems. In principle, it could also be used to mitigate the impact of nonlinear effects, possibly…

信息论 · 计算机科学 2022-06-08 Marco Secondini , Stella Civelli , Enrico Forestieri , Lareb Zar Khan