Modulational instability in nonlinear oppositely directed coupler with saturable delayed nonlinear response

Tatsing, Patrick Herbert; Mohamadou, Alidou; Tiofack, C. G. L.; Kofané, Timoléon Crépin

doi:10.1007/s11082-018-1493-1

Cited by 7 publications

(3 citation statements)

References 59 publications

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“…Recent years, some researchers investigated the modulational instability (MI) in a nonlinear oppositely directed coupler with a negative-index material channel [13][14][15][16][17]. MI in nonlinear positive-negative index couplers with saturable nonlinearity [18][19][20][21][22][23]. The influence of self-steepening and intrapulse Raman scattering on MI in oppositely directed coupler [14].…”

Section: Introductionmentioning

confidence: 99%

“…Some important changes in instability band particulary in shape and/or amplitude can be observe due to the presence of nonlinear saturation in the systems. This has encouraged some researchers to study the MI in many saturable nonlinear systems [18][19][20][21][22][23]. The present work is to study the effects of a saturable nonlinearity on the MI in a three-core coupler with a negative material channel.…”

Section: Introductionmentioning

confidence: 99%

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Effects of saturable function in three-core PIM-NIM-PIM coupler through modulation instability

et al. 2023

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We consider a model of three-core PIM-NIM-PIM coupler with Kerr-type saturable nonlinearity to study both analytically and numerically saturation effects on the modulational instability phenomenon. The analytical results show us that, in presence of saturable parameter in normal and anomalous dispersion regime it is formed some new instability bands compare to Shafeeque et al (2015) in absence of saturable parameter. It is clearly also show that Power and nonlinears parameters can be used to control MI. Through numerical simulation, the generation of periodic soliton with a growing amplitude are obtained in absence of nonlinear saturation. However in presence of saturable parameter the train of soliton obtained turns into a turbulent state after certain propagations distance.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Effects of saturable function in three-core PIM-NIM-PIM coupler through modulation instability

et al. 2023

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“…The nonlinearity in such fibers exerts significant effects on the performance of the MDM system, and much effort has been made to explore the nonlinear effects [55][56][57][58][59][60]. As a convenient way to know the interactions between the dispersion and nonlinearity, MI in TCFs has been studied a lot in the literatures [61][62][63][64][65][66][67][68][69][70][71][72][73][74][75][76][77]. For pulse wavelength near the zero-dispersion wavelength [31], or ultrashort pulses of terahertz, or for the dispersion engineered photonic crystal waveguides [78], we have to take into account the high-order dispersion effects, especially the FOD.…”

Section: Introductionmentioning

confidence: 99%

The effects of fourth-order dispersion on modulation instabilities in two-core optical fibers with asymmetric CW state

Li¹,

Sun²,

Qiao³

et al. 2020

Phys. Scr.

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The effects of fourth-order dispersion (FOD) on modulation instabilities in the twin-core optical fibers with the asymmetric CW state are studied systematically. When the product of the group velocity dispersion and FOD is negative, in the anomalous dispersion regime, two new MI bands in the high frequency are generated with one band either having the equivalent gain with that of original band or dominating the MI depending on the FOD value; in the normal dispersion, a new dominant MI band in the high frequency is always generated, and the original MI bands vanish in the presence of FOD at total power above a critical value. When the product of the group velocity dispersion and FOD is positive, the main effect of FOD is to shift the MI band to the low frequency and reduce the bandwidth simultaneously with minor effects on the instability gain. We also find that the effects of linear coupling coefficient dispersion can be significantly suppressed in the presence of FOD especially for the case of negative product of the group velocity dispersion and FOD. Finally, the effects of FOD on MI are verified numerically by launching continuous waves with the wave propagation method. Our results should provide very benificial information for successfully observing MI in TCFs or MI related applications with TCFs.

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Modulational instability in oppositely doubled-doped directed couplers with a non-kerr-like nonlinear refractive-index change

et al. 2019

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Modulational instability in nonlinear oppositely directed coupler with saturable delayed nonlinear response

Cited by 7 publications

References 59 publications

Effects of saturable function in three-core PIM-NIM-PIM coupler through modulation instability

Effects of saturable function in three-core PIM-NIM-PIM coupler through modulation instability

The effects of fourth-order dispersion on modulation instabilities in two-core optical fibers with asymmetric CW state

Modulational instability in oppositely doubled-doped directed couplers with a non-kerr-like nonlinear refractive-index change

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