Optical mixing effect and modulation instability in a dispersion decreasing fibre operating with picosecond light pulses

Wehmann, Claus Franz; Silva, M.G. da; Fernandes, L.M.; Lima, J.L.S.; Almeida, E.F. de; Sombra, A. S. B.

doi:10.1049/ip-opt:20045070

Cited by 4 publications

(1 citation statement)

References 11 publications

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“…As a relevant example, the case of a profile with exponential modulation of the dispersion, which is frequently employed in fiber optics applications, [26][27][28][29][30] can be worked out in details. To simplify the presentation, we ignore the linear gain or loss here, i.e., we set ¼ 0 in eq.…”

Section: An Example: the Exponential Dispersion Profilementioning

confidence: 99%

Transmission and Stability of Solitary Pulses in Complex Ginzburg–Landau Equations with Variable Coefficients

et al. 2008

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A class of complex Ginzburg-Landau (CGL) equations with variable coefficients is solved exactly by means of the Hirota bilinear method. Two novel features, elaborated in recent works on the bilinear method, are incorporated. One is a modified definition of the bilinear operator, which has been used to construct pulse, hole and front solutions for equations with constant coefficients. The other is the usage of time-or space-dependent wave numbers, which was employed to handle nonlinear Schrödinger (NLS) equations with variable coefficient. One-soliton solutions of the CGL equations with variable coefficients are obtained in an analytical form. A restriction imposed by the method is that the coefficient of the second-order dispersion must be real. However, nonlinear, loss (or gain) is permitted. A simple example of an exponentially modulated dispersion profile is worked out in detail to illustrate the principle. The competition between the linear gain and nonlinear loss, and vice versa, is investigated. The analytical solutions for solitary pulses are tested in direct simulations. The amplified pulses are very robust, provided that the linear gain is reasonably small. The results may be implemented in soliton fiber lasers.

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Section: An Example: the Exponential Dispersion Profilementioning

confidence: 99%

Transmission and Stability of Solitary Pulses in Complex Ginzburg–Landau Equations with Variable Coefficients

et al. 2008

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Bistability of ultrashort pulses in FBG under different nonlinearity profiles

Pinto

Pessoa

Jacinto

et al. 2017

J. Nonlinear Optic. Phys. Mat.

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In this work, we studied the optical bistability of Fiber Bragg Grating (FBG) under nonlinear regime, considering three increasing and decreasing profiles of nonlinearity: linear, quadratic and exponential. We varied the nonlinearity range in each profile, and obtained different curves of bistability and reflectivity. We analyzed the powers [Formula: see text] and [Formula: see text], as well as the width of the photonic band gap ([Formula: see text] of each device under different nonlinearity profiles, and we observed the changes in reflectivity of the FBG. The power intensities [Formula: see text] and [Formula: see text] obtained for the bistability of decreasing profiles were lower than those obtained for the increasing profiles, and the values of [Formula: see text] were also lower in decreasing profiles, which is useful for optical switching applications.

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Experimental observation of a cyclic dynamics of solitons in a fiber laser

Mallek-Bouras

Boukhaoui

Amroun-Aliane

et al. 2019

J. Nonlinear Optic. Phys. Mat.

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We report an experimental observation of a singular soliton dynamics in a mode-locked erbium doped fiber laser. This is the first time, to our knowledge, that output intensity exhibits a cyclic transition from a single-pulse to a multi-pulse regime for a fixed value of both pumping power and polarization controllers orientation. Moreover, the pulse duration of the single- and multi-pulse regimes is the same, in contrast with what is usually observed.

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Optical mixing effect and modulation instability in a dispersion decreasing fibre operating with picosecond light pulses

Cited by 4 publications

References 11 publications

Transmission and Stability of Solitary Pulses in Complex Ginzburg–Landau Equations with Variable Coefficients

Transmission and Stability of Solitary Pulses in Complex Ginzburg–Landau Equations with Variable Coefficients

Bistability of ultrashort pulses in FBG under different nonlinearity profiles

Experimental observation of a cyclic dynamics of solitons in a fiber laser

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