Modulational instability in nonlocal media with competing non-Kerr nonlinearities

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

doi:10.1016/j.optcom.2015.08.044

Cited by 24 publications

(9 citation statements)

References 43 publications

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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: 83%

“…In the limiting case of R(ρ) = δ(ρ) the Eq. 2describes the local response [39,44,45]. Even though the nonlocality model mentioned by Eq.…”

Section: Theoretical Modelmentioning

confidence: 99%

“…The coupled NLSE with the phenomenological generic model of competing nonlocal nonlinear responses is given by [36,39]…”

Section: Theoretical Modelmentioning

confidence: 99%

“…Wang et al has studied MI in nonlocal Kerr media with sine-oscillatory response [38]. 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%

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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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Section: Resultsmentioning

confidence: 83%

“…In the limiting case of R(ρ) = δ(ρ) the Eq. 2describes the local response [39,44,45]. Even though the nonlocality model mentioned by Eq.…”

Section: Theoretical Modelmentioning

confidence: 99%

“…The coupled NLSE with the phenomenological generic model of competing nonlocal nonlinear responses is given by [36,39]…”

Section: Theoretical Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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

2018

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“…In recent years, considerable efforts were made on the study of MI in conservative nonlinear systems described by cubic NLS equations with nonlocal Kerr nonlinearity. It was found that MI may occur in such systems even the Kerr nonlinearity is repulsive, or has both repulsive and attractive parts [36][37][38][39][40][41][42][43][44], which provides the possibility to realize spontaneous symmetry breaking [45] and generate spatially extended, ordered structures in nonlocal nonlinear media. Various self-organized patterns were found [42][43][44][46][47][48], especially the ones of atomic density formed in Rydberg-dressed [40,[49][50][51][52][53][54] and dipolar [55][56][57][58][59][60] Bose-Einstein condensates.…”

Section: Introductionmentioning

confidence: 99%

Structural phase transitions of optical patterns in atomic gases with microwave-controlled Rydberg interactions

Shi

Huang

2020

Phys. Rev. A

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Spontaneous symmetry breaking and formation of self-organized structures in nonlinear systems are intriguing and important phenomena in nature. Advancing such research to new nonlinear optical regimes is of much interest for both fundamental physics and practical applications. Here we propose a scheme to realize optical pattern formation in a cold Rydberg atomic gas via electromagnetically induced transparency. We show that, by coupling two Rydberg states with a microwave field (microwave dressing), the nonlocal Kerr nonlinearity of the Rydberg gas can be enhanced significantly and may be tuned actively. Based on such nonlocal Kerr nonlinearity, we demonstrate that a plane-wave state of probe laser field can undergo a modulation instability (MI) and hence spontaneous symmetry breaking, which may result in the emergence of various self-organized optical patterns. Especially, we find that a hexagonal lattice pattern (which is the only optical pattern when the microwave dressing is absent) may develop into several types of square lattice ones when the microwave dressing is applied; moreover, as a outcome of the MI the formation of nonlocal optical solitons is also possible in the system. Different from earlier studies, the optical patterns and nonlocal optical solitons found here can be flexibly manipulated by adjusting the effective probe-field intensity, nonlocality degree of the Kerr nonlinearity, and the strength of the microwave field. Our work opens a route for versatile controls of self-organizations and structural phase transitions of laser light, which may have potential applications in optical information processing and transmission.

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Asymmetric impact of higher order diffraction on narrow beam dynamics in nonlocal nonlinear media

Mishra,

Kajala,

Shwetanshumala

et al. 2023

Appl. Phys. B

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Modulational instability in nonlocal media with competing non-Kerr nonlinearities

Cited by 24 publications

References 43 publications

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

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

Structural phase transitions of optical patterns in atomic gases with microwave-controlled Rydberg interactions

Asymmetric impact of higher order diffraction on narrow beam dynamics in nonlocal nonlinear media

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