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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 four-dimensional nonlinear model is extended to include the inter-channel stimulated Raman scattering, enabling accurate prediction of dual-polarization four-dimensional modulation formats and probabilistically shaped constellations in…

Signal Processing · Electrical Eng. & Systems 2025-09-15 Zhiwei Liang , Bin Chen , Jiwei Xu , Yi Lei , Qingqing Hu , Fan Zhang , Gabriele Liga

We experimentally generate and characterize the eigenstates of the Wigner-Smith time-delay matrix, called principal modes, in a multimode fiber with strong mode coupling. The unique spectral and temporal properties of principal modes enable…

Optics · Physics 2016-08-03 Wen Xiong , Philipp Ambichl , Yaron Bromberg , Stefan Rotter , Hui Cao

We study experimentally the Bloch-wave instabilities in optically-induced lattices. We reveal two different instability scenarios associated with either the transverse modulational instability of a single Bloch wave, or the nonlinear…

Pattern Formation and Solitons · Physics 2007-05-23 Dragomir Neshev , Andrey A. Sukhorukov , Yuri S. Kivshar , Wieslaw Krolikowski

Motivated by recent work on instabilities in expanding domains in reaction-diffusion settings, we propose an analog of such mechanisms in energy-conserving wave equations. In particular, we consider a nonlinear Schr{\"o}dinger equation in a…

Pattern Formation and Solitons · Physics 2009-11-13 K. J. H. Law , P. G. Kevrekidis , D. J. Frantzeskakis , A. R. Bishop

Nonlinear two-dimensional internal gravity waves (IGWs) in the atmospheres of the Earth and the Sun are studied. The resulting two-dimensional nonlinear equation has the form of a generalized nonlinear Schr\"{o}dinger equation with nonlocal…

Pattern Formation and Solitons · Physics 2024-08-23 Volodymyr M. Lashkin , Oleg K. Cheremnykh

We present the first experimental investigation of modulational instability in a layered Kerr medium. The particularly interesting and appealing feature of our configuration, consisting of alternating glass-air layers, is the…

Pattern Formation and Solitons · Physics 2009-11-11 Martin Centurion , Mason A. Porter , Ye Pu , P. G. Kevrekidis , D. J. Frantzeskakis , Demetri Psaltis

In the framework of the focusing Nonlinear Schrodinger (NLS) equation we study numerically the nonlinear stage of the modulation instability (MI) of the condensate. As expected, the development of the MI leads to formation of "integrable…

Exactly Solvable and Integrable Systems · Physics 2015-09-15 D. S. Agafontsev , V. E. Zakharov

Drift instabilities contribute to the formation of edge turbulence and zonal flows, and thus the anomalous transport in tokamaks. Experiments often found micro-scale tur- bulence strongly coupled with large-scale magnetohydrodynamic (MHD)…

Plasma Physics · Physics 2018-10-17 Shangchuan Yang , Ping Zhu , Jinlin Xie , Wandong Liu

This paper proposes a novel method to enhance the performance of the modulator for fifth-generation wireless communication (5G) by exploiting modulation instability (MI). We show that MI can reduce the bias voltage of the modulator…

Optics · Physics 2024-02-02 Moein Alavi , Rasul Azizpour , Hassan Zakeri , Gholamreza Moradi

The interplay of such cornerstones of modern nonlinear fiber optics as a nonlinearity, stochasticity and polarization leads to variety of the noise induced instabilities including polarization attraction and escape phenomena harnessing of…

In this paper, we are interested in studying the modulational dynamics of interfacial waves rising buoyantly along a conduit of a viscous liquid. Formally, the behavior of modulated periodic waves on large space and time scales may be…

Analysis of PDEs · Mathematics 2019-11-05 Mathew A. Johnson , Wesley R. Perkins

We study scalar and vector modulation instabilities induced by the vacuum fluctuations in birefringent optical fibers. To this end, stochastic coupled nonlinear Schrodinger equations are derived. The stochastic model is equivalent to the…

Quantum Physics · Physics 2009-11-10 E. Brainis , D. Amans , S. Massar

We present theoretical study of wavelength dependence of mode instability (MI) in high power fiber lasers, which employs an improved semi-analytical theoretical model. The influence of pump / seed wavelength and photodarkening on threshold…

Optics · Physics 2015-06-26 Rumao Tao , Pengfei Ma , Xiaolin Wang , Pu Zhou , Zejin Liu

We investigated experimentally and numerically the spectral control of modulation instability (MI) dynamics via the initial phase relation of two weak seed fields. Specifically, we show how second-order modulation instability dynamics…

Optics · Physics 2015-06-17 Maximilian Brinkmann , Michael Kues , Carsten Fallnich

A new version of the invariant imbedding theory for the propagation of coupled waves in inhomogeneous media is applied to the mode conversion of high frequency electromagnetic waves into electrostatic modes in cold, magnetized and…

Plasma Physics · Physics 2009-11-11 Kihong Kim , Dong-Hun Lee

We propose a new semi-analytical model, describing the bandwidth evolution of pulses propagating in dispersion managed (DM) transmission systems using multimodal graded-index fibers (GRIN) with parabolic index. The model also applies to…

Optics · Physics 2021-04-07 M. Zitelli , M. Ferraro , F. Mangini , S. Wabnitz

We study gravitationally unstable, transient, diffusive boundary layers in porous media using modal and nonmodal stability methods. Using nonmodal stability theory, we demonstrate that both the onset of linear instabilities and the shape of…

Fluid Dynamics · Physics 2019-03-05 Don Daniel , Nils Tilton , Amir Riaz

Two discrete-time interference channel models are developed for information transmission over a single span of optical fiber using wavelength-division multiplexing (WDM) and lumped amplification. The models are derived from the nonlinear…

Information Theory · Computer Science 2017-08-14 Hassan Ghozlan , Gerhard Kramer

Recently, it was shown that strongly driven micromechanical resonators show mode shapes that strongly differ from the eigenmodes. This raises the question of the origin of this nonlinear behavior. We measure the spatial dependence of the…

Optics · Physics 2025-07-18 Timo Sommer , Agnes Zinth , Aditya , Menno Poot
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