A theoretical study on threshold conditions of modulation instability in oppositely directed couplers

Porsezian, K.; Ali, Asghar; Nithyanandan, K.

doi:10.1088/2040-8978/18/12/125502

Cited by 11 publications

(3 citation statements)

References 38 publications

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“…In the field of nonlinear optics, MI is considered as an exponential growth of the weak perturbation imposed on a co-propagating strong continuous wave as a result of the interplay between nonlinear and linear dispersive effects [31][32][33][34]. The various applications of MI, like the generation of ultrashort pulse trains with high repetition rate, generation of ultra-broadband spectrum in the name of supercontinuum generation, optical-switching, optical amplification, material absorption and loss compensation, optical sensing, dispersion management [35][36][37][38][39][40][41][42][43], etc., have excited the imagination of the research community in many fields.…”

Section: Introductionmentioning

confidence: 99%

Modulation instability induced supercontinuum generation in liquid core suspended photonic crystal fiber with cubic-quintic nonlinearities

Sharafali,

Ali,

Lakshmanan

2021

Preprint

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In this paper, we propose a liquid core suspended photonic crystal fiber (LCSPCF) as a potential waveguide structure for nonlinear applications. We emphasize the dramatic improvement of the nonlinear properties of the PCF through the infiltration of liquid and highlight the effect of suspension in the further enhancement of nonlinearity. To demonstrate the capability of LCSPCF, we perform a modulation instability (MI) study and illustrate the MI enhancement in the LCSPCF against conventional PCF. As the LCSPCF possesses high nonlinearity, it is important to consider the effects of higher-order nonlinearities. We observe that the quintic nonlinearity (QN) increases the MI for cooperating nonlinearities while it suppresses the MI for competing nonlinearities. We have also importantly studied the effect of QN on the MI induced supercontinuum generation (SCG) for silica and CS 2 liquid core PCF. Thus, we propose the LCSPCF as a platform for nonlinear applications such as SCG, pulse compression, etc., owing to the presence of high and controllable nonlinear coefficients.

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Section: Introductionmentioning

confidence: 99%

Modulation instability induced supercontinuum generation in liquid core suspended photonic crystal fiber with cubic-quintic nonlinearities

Sharafali,

Ali,

Lakshmanan

2021

Preprint

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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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“…The spatiotemporal instability in metamaterials made of the split-ring resonator and array of nanowires embedded in a Kerr medium has been theoretically studied [18]. Moreover, the phenomena of modulation instability and soliton formation in metamaterial couplers have been investigated [19][20][21].…”

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confidence: 99%

Propagation dynamics of elliptical super-Gaussian bullets in nonlinear metamaterial waveguide

Abuzaid,

Asma

2023

EPL

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The characteristics of an optical beam propagating in a medium should be preserved for many applications related to ﬁber-optic communication. The phenomenon of self-trapping due to adequate balance among linear and nonlinear eﬀects may preserve the characteristics of an optical beam. In this work, we perform a theoretical investigation on the propagation of a spatiotemporal elliptical super-Gaussian beam in a Kerr nonlinear metamaterial waveguide. We follow the Lagrangian variational method and numerical analysis using the appropriate trial function to the input elliptical super-Gaussian beam and analyze the self-trapping and deformation of the propagating beam in metamaterials. We obtain special conditions to observe the self-trapping and stabilize the dynamics of the elliptical super-Gaussian beam in both negative and positive index regimes of the metamaterial. It is found that in the negative index regime of metamaterial, the phenomenon of self-trapping may exist in the normal dispersion regime with defocusing Kerr nonlinearity. However similar to the conventional medium, the robust balance among the anomalous dispersion and focussing Kerr nonlinearity supports the self-trapping in the positive index regime. There is a critical optical power for the input beam to observe the pulse trapping phenomena. This power is found to be a function of the super-Gaussian parameter as well as the ellipticity of the input beam. The period of self-trapping is also a function of the super-Gaussian parameter and the ellipticity of the input beam.

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A theoretical study on threshold conditions of modulation instability in oppositely directed couplers

Cited by 11 publications

References 38 publications

Modulation instability induced supercontinuum generation in liquid core suspended photonic crystal fiber with cubic-quintic nonlinearities

Modulation instability induced supercontinuum generation in liquid core suspended photonic crystal fiber with cubic-quintic nonlinearities

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

Propagation dynamics of elliptical super-Gaussian bullets in nonlinear metamaterial waveguide

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