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We analyze the dynamics of modulation instability in optical fiber (or any other nonlinear Schr\"{o}dinger equation system) using the machine-learning technique of data-driven dominant balance. We aim to automate the identification of which…

Pattern Formation and Solitons · Physics 2023-06-22 Andrei V. Ermolaev , Mehdi Mabed , Christophe Finot , Goëry Genty , John M. Dudley

Throughout the history of science, physics-based modeling has relied on judiciously approximating observed dynamics as a balance between a few dominant processes. However, this traditional approach is mathematically cumbersome and only…

Nonlinear optical phenomena are typically local. Here we predict the possibility of highly nonlocal optical nonlinearities for light propagating in atomic media trapped near a nano-waveguide, where long-range interactions between the atoms…

Quantum Physics · Physics 2016-07-08 Ephraim Shahmoon , Pjotrs Grisins , Hans Peter Stimming , Igor Mazets , Gershon Kurizki

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…

Optical solitons are self-sustained wave packets that propagate without distortion due to a balance between dispersion and nonlinearity. Their unique stability underpins key photonic applications while also playing a central role in…

Pattern Formation and Solitons · Physics 2025-12-04 François Copie , Pierre Suret , Stéphane Randoux

The advent of big data has vast potential for discovery in natural phenomena ranging from climate science to medicine, but overwhelming complexity stymies insight. Existing theory is often not able to succinctly describe salient phenomena,…

Machine Learning · Computer Science 2021-06-25 Bryan E. Kaiser , Juan A. Saenz , Maike Sonnewald , Daniel Livescu

The existence regimes and dynamics of soliton molecules in dispersion-managed (DM) optical fibers have been studied. Initially we develop a variational approximation (VA) for description of periodic dynamics of a soliton molecule within…

Pattern Formation and Solitons · Physics 2014-06-10 S. M. Alamoudi , U. Al Khawaja , B. B. Baizakov

We study the fundamental problem of learning a marginally stable unknown nonlinear dynamical system. We describe an algorithm for this problem, based on the technique of spectral filtering, which learns a mapping from past observations to…

Machine Learning · Computer Science 2025-08-19 Evan Dogariu , Anand Brahmbhatt , Elad Hazan

Optical solitons in multimode fibers have been predicted 40 years ago and extensively investigated theoretically. Transmission experiments in nonlinear multimode fibers have gained renewed interest, motivated by their potential to extend…

Optics · Physics 2024-04-02 Mario Zitelli

The characterization of the complex spatiotemporal dynamics of optical beam propagation in nonlinear multimode fibers requires the development of advanced measurement methods, capable of capturing the real-time evolution of beam images. We…

We address the interactions between optical solitons in the system with longitudinally varying nonlocality degree and nonlinearity strength. We consider a physical model describing light propagation in nematic liquid crystals featuring a…

Pattern Formation and Solitons · Physics 2009-11-13 Fangwei Ye , Yaroslav V. Kartashov , Lluis Torner

The nonlinear interaction of light in an optical fibre can mimic the physics at an event horizon. This analogue arises when a weak probe wave is unable to pass through an intense soliton, despite propagating at a different velocity. To…

Nonlinear optical wave propagation manifests in a multitude of frequencies generated from quantum-noise, and selecting desired nonlinear products usually requires seeding the medium with extraneous waves, employing spatial or spectral…

Optics · Physics 2019-03-06 Lars Rishøj , Boyin Tai , Poul Kristensen , Siddharth Ramachandran

Beam self-imaging in nonlinear graded-index multimode optical fibers is of interest for many applications, such as implementing a fast saturable absorber mechanism in fiber lasers via multimode interference. We obtain an exact solution for…

Robust autonomy stacks require tight integration of perception, motion planning, and control layers, but these layers often inadequately incorporate inherent perception and prediction uncertainties, either ignoring them altogether or making…

Systems and Control · Electrical Eng. & Systems 2022-01-06 Venkatraman Renganathan , Sleiman Safaoui , Aadi Kothari , Benjamin Gravell , Iman Shames , Tyler Summers

We have developed an analytical model based on the perturbation theory in order to study the optical propagation of two successive intense solitons in hollow-core photonic crystal fibers filled with Raman-active gases. Based on the time…

The strongly-constrained physics-informed neural network (SCPINN) is proposed by adding the information of compound derivative embedded into the soft-constraint of physics-informed neural network(PINN). It is used to predict nonlinear…

Pattern Formation and Solitons · Physics 2022-11-30 Yin Fang , Wen-Bo Bo , Ru-Ru Wang , Yue-Yue Wang , Chao-Qing Dai

We investigate the performance of a machine learning classification technique, called the Parzen window, to mitigate the fiber nonlinearity in the context of dispersion managed and dispersion unmanaged systems. The technique is applied for…

Signal Processing · Electrical Eng. & Systems 2019-03-12 Abdelkerim Amari , Xiang Lin , Octavia A. Dobre , Ramachandran Venkatesan , Alex Alvarado

To fully understand, analyze, and determine the behavior of dynamical systems, it is crucial to identify their intrinsic modal coordinates. In nonlinear dynamical systems, this task is challenging as the modal transformation based on the…

Machine Learning · Computer Science 2025-03-13 Abdolvahhab Rostamijavanani , Shanwu Li , Yongchao Yang

Recent remarkable progress in wave-front shaping has enabled control of light propagation inside linear media to focus and image through scattering objects. In particular, light propagation in multimode fibers comprises complex intermodal…

Adaptation and Self-Organizing Systems · Physics 2017-07-17 Omer Tzang , Antonio M. Caravaca-Aguirre , Kelvin Wagner , Rafael Piestun
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