Effects of higher-order nonlinear dispersions on modulational instability in a three-core coupler with negative index material channel and saturable nonlinearity

Alim,; Aboukar,; Youssoufa, Mati; Mohamadou, Alidou

doi:10.1016/j.ijleo.2017.08.090

Cited by 10 publications

(5 citation statements)

References 68 publications

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“…In contrast to our dispersion relation ( 12)-( 13), the authors of [38] obtained a different dispersion relation for their study. We plot our dispersion relations in figures 2 and 3.…”

Section: Linear Stability Analysiscontrasting

confidence: 80%

“…The difference is that, in the case of the latter, we have to consider the sign of l also. MI in the normal dispersion regime occurs when f and l are positive [36][37][38]. In principle, the normal dispersion regime does not exhibit MI due to the lack of phase matching between the linear and nonlinear components.…”

Section: Resultsmentioning

confidence: 99%

“…MI in the presence of higher-order dispersion effects [40], the existence of MI due to the cross-phase modulation [41,42], MI in the non-instantaneous nonlinear system, and instability bands in the case of directional couplers are some examples of MI in this regime. In the anomalous dispersion regime, MI occurs when f and l are negative [36][37][38]. The anomalous dispersion regime is suitable to achieve MI and solitons because of the good balance between the nonlinearity and the negative group dispersion coefficient.…”

Section: Resultsmentioning

confidence: 99%

“…As far as three-core coupler optical couplers are concerned, there are only a few investigations reported, and the topic is of interest because of its tunable nonlinear properties and quick power switching [30][31][32][33][34][35]. Recent theoretical investigations can be found in [36][37][38]. Recently, there have been experimental findings [39][40][41][42] of MI in optical fibers that agree with theoretical and numerical computations, which creates further interest in theoretical investigations.…”

Section: Introductionmentioning

confidence: 95%

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Saturable higher nonlinearity effects on the modulational instabilities in three-core triangular configuration couplers

Mohanraj

Sivakumar

2021

J. Opt.

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This paper demonstrates the possibility to observe the modulational instability (MI) regions due to modified nonlinear saturability over and above other high-order nonlinearities for the triangular configuration of a three-core oppositely directed coupler. In this configuration, two channels are positive-refractive-index material, and one is a negative-index material. The governing equations are the modified coupled nonlinear Schrödinger equations, to which we add the higher-order nonlinearity terms and coupling terms. This equation is further modified with the saturable nonlinearity term. In the presence of several nonlinearities, we derive the dispersion relation for the optical coupler under consideration. We use a linear stability analysis to study the modulation stability characteristic gain in both the normal and anomalous group-velocity dispersion regimes. We have widely varied the parameter range of the physical system parameters to accommodate different possibilities. In the normal region, the saturable nonlinearity aids in increasing the bandwidth of the MI region, while in the anomalous regime, the bandwidth reduces. In the normal dispersion case, the simultaneous presence of all nonlinearities in the optical coupler does not provide a suitable scope for pulse propagation. On the other hand, in the anomalous regime, these nonlinearities favor for pulse propagation.

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“…In contrast to our dispersion relation ( 12)-( 13), the authors of [38] obtained a different dispersion relation for their study. We plot our dispersion relations in figures 2 and 3.…”

Section: Linear Stability Analysiscontrasting

confidence: 80%

Section: Resultsmentioning

confidence: 99%

Section: Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 95%

See 2 more Smart Citations

Saturable higher nonlinearity effects on the modulational instabilities in three-core triangular configuration couplers

Mohanraj

Sivakumar

2021

J. Opt.

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“…The presence of competing cubic and quintic nonlinearities in the metamaterial stabilizes the vortex beam dynamics [18]. The saturable nonlinearities considerably influence the modulation instability sidelobes and its bandwidth in a three-core coupler with negative index material channel [19].…”

Section: Introductionmentioning

confidence: 99%

Spatial modulation instability and filamentation of Gaussian beam in metamaterials

Hashim,

Shafeeque Ali,

Gopi

et al. 2024

Phys. Scr.

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This paper deals with a study on spatial modulation instability and propagation dynamics of a Gaussian beam in cubic and quintic nonlinear metamaterials. We explore the parametric regions where the laser beam can exhibit stable and unstable dynamics in terms of modulation instability of continuous waves. As the modulation instability is the precursor to forming an ultrashort pulse, here we generate trains of ultrashort pulses by the filamentation of the Gaussian beam. Also, we observe the modulational stability of continuous waves as well as the stable dynamics of Gaussian beam in metamaterials with competing cubic and quintic nonlinearities.

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The effects of raman scattering on modulation instabilities in two-core optical fibers

Sun

Pei

et al. 2021

Opt Quant Electron

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Effects of higher-order nonlinear dispersions on modulational instability in a three-core coupler with negative index material channel and saturable nonlinearity

Cited by 10 publications

References 68 publications

Saturable higher nonlinearity effects on the modulational instabilities in three-core triangular configuration couplers

Saturable higher nonlinearity effects on the modulational instabilities in three-core triangular configuration couplers

Spatial modulation instability and filamentation of Gaussian beam in metamaterials

The effects of raman scattering on modulation instabilities in two-core optical fibers

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