Modulational instability in optical fibers with arbitrary higher-order dispersion and delayed Raman response

Dinda, P. Tchofo; Ngabireng, C. M.; Porsezian, K.; Kalithasan, B.

doi:10.1016/j.optcom.2006.04.017

Cited by 34 publications

(21 citation statements)

References 18 publications

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“…Therefore, the role of the FOD on MI in metamaterials is similar to that in conventional media [36]. We can also find in Figure 2 that both MI gain and gain bandwidth decrease as the saturation parameter increases, which is consistent with the results obtained in [30].…”

Section: Modulational Instability Gain Analysissupporting

confidence: 87%

Modulational instability in metamaterials with saturable nonlinearity and higher-order dispersion

Tiofack

Mohamadou

Porsezian

et al. 2012

Journal of Modern Optics

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Modulational instability (MI) in negative refractive metamaterials with saturable nonlinearity, fourth-order dispersion (FOD), and second-order nonlinear dispersion (SOND) is investigated by using standard linear stability analysis and the Drude electromagnetic model. The expression for the MI gain spectrum is obtained, which clearly reveals the influence of the saturation of the nonlinearity, FOD, and SOND parameters on the temporal MI. The evolution of the MI in negative refractive metamaterials is numerically investigated. Special attention is paid to study the effects of the higher-order dispersion terms on the formation and evolution of the solitons induced by MI. It is shown that as the third-order dispersion term increases, the solitons travel toward the right. Moreover, the magnitude of the FOD term influences considerably the number of wave trains induced by MI.

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Section: Modulational Instability Gain Analysissupporting

confidence: 87%

Modulational instability in metamaterials with saturable nonlinearity and higher-order dispersion

Tiofack

Mohamadou

Porsezian

et al. 2012

Journal of Modern Optics

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“…MI in the context of ultrashort pulse generation in birefringent fibers was analyzed in [18]. A comprehensive picture of MI with higher-order dispersion and stimulated Raman scattering was discussed both theoretically and experimentally by Dinda and co-workers [17,19,20]. Then the perception of analyzing MI takes a different dimension depending upon the nonlinear contribution of the refractive index.…”

Section: Introductionmentioning

confidence: 99%

Theoretical investigation of modulational instability in semiconductor doped dispersion decreasing fiber and its cutting edge over the existing fiber systems

Nithyanandan

Raja

2012

J. Opt. Soc. Am. B

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A theoretical study of modulational instability (MI) in the semiconductor doped dispersion decreasing fiber (SD-DDF) is presented. We consider the combination of saturation of nonlinear response and the dispersion decreasing fiber (DDF). The exact dispersion relation is calculated by means of linear stability analysis. Different fiber systems are considered alongside the proposed SD-DDF for insight and to offer the cutting edge of the proposed model over the others. The two extreme physical effects considered lead to an exciting outcome, where decreasing dispersion leads to broadening the spectral width and saturation, on the other hand, suppresses the MI gain and the bandwidth. A bandwidth relation between different fiber systems is presented, and the idea can open the design of a fiber structure with desired dispersion profile by a suitable manipulation of these effects. We propose that instead of using DDF whose bandwidth is limited by the manufacturing constraints, the use of SD-DDF offers better tailoring of the bandwidth profile by suitably altering the saturation parameter. Thus we emphasize that the proposed SD-DDF will be a feature prospect for wide range of applications, especially in the context of ultrashort pulse generation using MI.

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“…We have used a theoretical model based on a generalized NLSE, which includes the noninstantaneous nonlinear response and the dispersion effects up to fourth order suggested in previous studies [11][12][13]26], and in which we take into account the stochastic fluctuations of the coefficients. In particular, we have found that modulational instability in stochastic dispersive media and stochastic nonlinear media is qualitatively different.…”

Section: Resultsmentioning

confidence: 99%

“…Then Equation (8) has to be solved numerically. Many configurations have been obtained in this case by Tchofo Dinda et al [13] including the suppression of MI in the anomalous regime, in addition to the promotion of MI in the normal regime [13].…”

Section: Theoretical Modelmentioning

confidence: 93%

“…In particular, it follows from previous studies that whenever the FOD dominates or competes with the SOD, propagation of plane waves leads to a rich variety of dynamical behaviors, including critical behaviors in which the FOD suppresses the occurrence of the MI in the anomalous dispersion regime, and other situations in which the FOD acts in the opposite way by inducing the MI in the normal or anomalous dispersion region. One of the most striking examples of such nonconventional processes is the one which generates simultaneously two pairs of MI sidebands (of conventional and nonconventional natures) in the same spectrum in a single-mode fiber with a negative SOD and a positive FOD [13]. The nonconventional MI frequencies O MI can be relatively large, with a magnitude that can be of the order of (or even larger than) the Raman frequency shift of standard silica fibers !…”

Section: Introductionmentioning

confidence: 99%

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Higher order dispersion effects in the noninstantaneous nonlinear Schrödinger equation

Mohamadou

Tiofack

Ekogo

et al. 2011

Journal of Modern Optics

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We present a systematic analysis of the effects, of higher-order dispersion, noninstantaneous nonlinear response, as well as stochastic coefficients in optical fiber. This study is motivated by recent experimental observation of a new modulational instability spectral window induced by fourth-order dispersion in a normally dispersive singlemode optical fiber. Analytical expression of pulse amplitude is deduced with the second-order gain nonuniformity and the stimulated-Brillouin scattering-induced third-order as well as fourth-order dispersion effects involved. The influence of stochasticity, as well as the delayed Raman response in the nonconventional sidebands obtained due to the fourth-order dispersion, is considered. We note that the shape of the spectrum, and in particular the relative intensities of the higher order harmonics, is highly sensitive to the initial presence of classical noise, and can therefore be taken as a signature that the MI is seeded by vacuum fluctuations. Some direct simulations to see the evolution of different continuous wave states are reported. These show the formation of modulation instability pulses as well as transitions from lower amplitude continuous wave states to higher amplitude continuous wave states. The present results fit well with recent experimental investigations.

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Modulational instability in optical fibers with arbitrary higher-order dispersion and delayed Raman response

Cited by 34 publications

References 18 publications

Modulational instability in metamaterials with saturable nonlinearity and higher-order dispersion

Modulational instability in metamaterials with saturable nonlinearity and higher-order dispersion

Theoretical investigation of modulational instability in semiconductor doped dispersion decreasing fiber and its cutting edge over the existing fiber systems

Higher order dispersion effects in the noninstantaneous nonlinear Schrödinger equation

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