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We revisit the problem of modulation instability (MI) in optical fibers, including higher-order dispersion terms, self-steepening, and Raman response. We derive expressions for the MI gain and use them to explore the role of self-steepening…

A study is made of frequency comb generation described by the driven and damped nonlinear Schr\"odinger equation on a finite interval. It is shown that frequency comb generation can be interpreted as a modulational instability of the…

Optics · Physics 2013-08-21 T. Hansson , D. Modotto , S. Wabnitz

The modulation instability (MI) is a universal mechanism that is responsible for the disintegration of weakly nonlinear narrow-banded wave fields and the emergence of localized extreme events in dispersive media. The instability dynamics is…

Fluid Dynamics · Physics 2017-09-06 O. Kimmoun , H. C. Hsu , B. Kibler , A. Chabchoub

We investigate the modulation instability of multiple four-wave mixing arising from a dual-frequency pump in a single-mode fiber or waveguide. By applying the Floquet theory on account of the periodic nature of four-wave mixing, we reveal a…

Optics · Physics 2011-05-31 Andrea Armaroli , Stefano Trillo

We analyze the modulation instability induced by periodic variations of group velocity dispersion and nonlinearity in optical fibers, which may be interpreted as an analogue of the well-known parametric resonance in mechanics. We derive…

Optics · Physics 2015-06-11 Andrea Armaroli , Fabio Biancalana

We report on the experimental and numerical observation of polarization modulation instability (PMI) in a nonlinear fiber Kerr resonator. This phenomenon is phased-matched through the relative phase detuning between the intracavity fields…

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 demonstrate broadband supercontinuum generation in an all-normal dispersion polarization-maintaining photonic crystal fiber and we report the observation of a cross-phase modulation instability sideband that is generated outside of the…

We report the observation of modulation instability in the mid-infrared spectral region by pumping a hybrid polymer-chalcogenide optical microwire with a femtosecond optical parametric oscillator operating at 2.6 {\mu}m. It is further shown…

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

The modulation instability (MI) is responsible for the disintegration of a regular nonlinear wave train and can lead to strong localizations in a from of rogue waves. This mechanism has been studied in a variety of nonlinear dispersive…

Pattern Formation and Solitons · Physics 2024-05-31 Yuchen He , Jinghua Wang , Bertrand Kibler , Amin Chabchoub

We discuss the modulational instability (MI) of plane waves in nonlocal Kerr media with the sine-oscillation response function, which can model the nematic liquid crystal with negative dielectric anisotropy. The results in the framework of…

Pattern Formation and Solitons · Physics 2017-04-05 Zhuo Wang , Qi Guo , Weiyi Hong , Wei Hu

We investigated the effct of pump wavelength on the modal instabilities (MI) in high power linearly-polarized Yb-doped fiber amplifiers. We built a novel semi-analytical model to determine the frequency coupling characteristics and power…

Optics · Physics 2015-03-31 Rumao Tao , Pengfei Ma , Xiaolin Wang , Pu Zhou , Zejin Liu

We numerically model fiber amplifier performance near and slightly above the mode instability threshold. These results are compared with recently published experimental work. Using weakly amplitude modulated pump light we obtain qualitative…

Optics · Physics 2013-01-21 Arlee V. Smith , Jesse J. Smith

A comprehensive physical model of adiabatic three wave mixing is developed for the fully nonlinear regime, i.e. without making the undepleted pump approximation. The conditions for adiabatic evolution are rigorously derived, together with…

Optics · Physics 2015-06-15 Gil Porat , Ady Arie

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…

The modulational instability of broadband optical pulses in a four-state atomic system is investigated. In particular, starting from a recently derived generalized nonlinear Schr\"odinger equation, a wave-kinetic equation is derived. A…

Pattern Formation and Solitons · Physics 2007-05-23 M. Marklund , P. K. Shukla , R. Bingham , J. T. Mendonca

A study is made of the nonlinear dynamics of dual pumped microresonator Kerr frequency combs described by a driven and damped nonlinear Schr\"odinger equation, with an additional degree of freedom in the form of the modulation frequency. A…

Optics · Physics 2014-07-16 T. Hansson , S. Wabnitz

We study, both theoretically and experimentally, modulational instability in optical fibers that have a longitudinal evolution of their dispersion in the form of a Dirac delta comb. By means of Floquet theory, we obtain an exact expression…

We investigate modulational instability (MI) in asymmetric dual-core nonlinear directional couplers incorporating the effects of the differences in effective mode areas and group velocity dispersions, as well as phase- and group-velocity…

Pattern Formation and Solitons · Physics 2019-08-28 A. Govindarajan , Boris A. Malomed , A. Mahalingam , A. Uthayakumar
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