Effect of competing cubic-quintic nonlinearities on the modulational instability in nonlocal Kerr-type media

Tagwo, Hippolyte; Tiofack, C. G. L.; Dafounansou, O.; Mohamadou, Alidou; Kofané, Timoléon Crépin

doi:10.1080/09500340.2015.1085105

Cited by 13 publications

(6 citation statements)

References 31 publications

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“…The study of SMI induced by XPM involving HON was investigated in various theoretical works [146][147][148][149] but it was demonstrated only recently [98,105] thanks to the nonlinearity management of the silver nanocolloids. For this purpose, experiments were performed to analyze the response of the MDNCs managed to present cubic, quintic, and septimal nonlinearities.…”

Section: Spatial Modulation Instabilitymentioning

confidence: 99%

High-order optical nonlinearities in plasmonic nanocomposites—a review

2017

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Section: Spatial Modulation Instabilitymentioning

confidence: 99%

High-order optical nonlinearities in plasmonic nanocomposites—a review

2017

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“…For a comprehensive picture and to make discussion self-explanatory, we reproduce some of the results corresponding to the scalar spatial MI [39,40] and compare with the present results on counter-propagating coupled system. Fig.…”

Section: Resultsmentioning

confidence: 85%

“…Tiofack et al has studied the effect of competing cubic-quintic nonlinearities on MI in non-Kerr type media showing equal nonlocal response functions [39], also MI in media with a local quintic and a nonlocal cubic nonlinearities was studied in Ref. [40].…”

Section: Introductionmentioning

confidence: 99%

Influence of spatial delay on the modulational instability in a composite system with a controllable nonlinearity

2018

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A theoretical investigation of the modulational instability (MI) in a composite system with a nonlocal response function is presented. A composite system of silver nanoparticles in acetone is chosen, whose nonlinearity can be delicately varied by controlling the volume fraction of the constituents, thus enabling the possibility of nonlinearity management. A pump-probe counterpropagation configuration has been assumed, and the interplay between the competing nonlinearities and the nonlocalities in the MI dynamics is systematically explored. A different class of nonlocalities have been considered, and the study reveals that the nonlocality critically depends on the kind of nonlocal function. However, the general behavior is that the strength of nonlocality suppresses the MI gain, while for a rectangular function it assists the emergence of new spectral windows. We also show that the cross coupling effects are significant in enhancing MI, especially in the defocusing nonlinearity. We also emphasize the impact of the relative strength of the nonlinearities in the MI dynamics at different settings of competing nonlinearities. Thus, we emphasize the importance of the different class of nonlocal response in the MI dynamics and explore the interplay between the higher order nonlinear effects and nonlocalities in the counterpropagating configurations.

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“…It was found that the quintic nonlinearity significantly affects the dynamics of PW [35]. Along the same line, in media with competing local quintic and nonlocal cubic nonlinearities [36], the growth rate and bandwidth of instability we are revealed to be increasing functions of the focusing local quintic nonlinearity compared to small values of defocusing local quintic nonlinearity, for which the growth rate and bandwidth of instability decrease. Zanga et al [37] also investigated the input of weakly Kerr and weakly non-Kerr nonlinear effects into the generation of optical patterns in the presence of a magnetic effect, using, as most of the works cited above, an NLS equation with second-order diffraction/dispersion term.…”

Section: Introductionmentioning

confidence: 78%

“…It should be noted that investigations of MI in nonlocal media have been reported in the literature [25,28,35,36]. In general, nonlocality has been found to suppress the development of MI.…”

Section: Rectangular Response Functionmentioning

confidence: 96%

Nonlocal cubic and quintic nonlinear wave patterns in pure-quartic media

Tiofack

Tabi

Tagwo

et al. 2023

J. Opt.

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In this work, pure-quartic soliton formation is investigated in the framework of a nonlinear Schrödinger equation with competing Kerr (cubic) and non-Kerr (quintic) nonlocal nonlinearities and quartic dispersion. In the process, the modulational instability (MI) phenomenon is activated under a suitable balance between the nonlocal nonlinearities and the quartic dispersion, both for exponential and rectangular nonlocal nonlinear responses. Interestingly, the maximum MI growth rate and bandwidth are reduced or can completely be suppressed for some specific values of the cubic and quintic nonlocality parameters, depending on the type of nonlocal response. The analytical results are confirmed via direct numerical simulations, where the instability supports the signature of pure-quartic dark and bright solitons. These results may provide a better understanding of pure-quartic solitonic structures for their potential applications in the next generation of nonlinear optical devices.

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Effect of competing cubic-quintic nonlinearities on the modulational instability in nonlocal Kerr-type media

Cited by 13 publications

References 31 publications

High-order optical nonlinearities in plasmonic nanocomposites—a review

High-order optical nonlinearities in plasmonic nanocomposites—a review

Influence of spatial delay on the modulational instability in a composite system with a controllable nonlinearity

Nonlocal cubic and quintic nonlinear wave patterns in pure-quartic media

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