On the Spectral Dynamics of Noise-Seeded Modulation Instability in Optical Fibers

Fierens, Pablo Ignacio; Hernández, S. M.; Bonetti, J.; Grosz, D. F.

doi:10.1007/978-3-319-52621-8_23

Cited by 2 publications

(1 citation statement)

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“…Exact solutions of MI accounting for a full model of the NLSE, including the Raman response and the dependence of the nonlinear parameter with frequency, have been developed [30,31]. The particular case of the propagation of additive noise has been dealt with in the literature (see, e.g., [32,33]). Note, however, that the wave propagation analysis of a noisy CW pump in a MI setting has several limitations.…”

Section: Accepted Manuscriptmentioning

confidence: 99%

A higher-order perturbation analysis of the nonlinear Schrödinger equation

Bonetti

Hernández

Fierens

et al. 2019

Communications in Nonlinear Science and Numerical Simulation

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A well-known and thoroughly studied phenomenon in nonlinear wave propagation is that of modulation instability (MI). MI is usually approached as a perturbation to a pump, and its analysis is based on preserving only terms which are linear on the perturbation, discarding those of higher order. In this sense, the linear MI analysis is relevant to the understanding of the onset of many other nonlinear phenomena, such as supercontinuum generation, but it has limitations as it can only be applied to the propagation of the perturbation over short distances.In this work, we propose approximations to the propagation of a perturbation, consisting of additive white noise, that go beyond the linear modulation instability analysis, and show them to be in excellent agreement with numerical simulations and experimental measurements.

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