Modulational instability of truncated Airy pulses in cubic–quintic nonlinear optical waveguides with multiphoton absorptions

Boukar, Souang Kemedane; Heuteu, Crépin; Mandeng, Lucien Mandeng; Tchawoua, Clément

doi:10.1016/j.optcom.2022.128593

Cited by 4 publications

(3 citation statements)

References 58 publications

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“…We use a truncated Airy pulse profile given as 𝑢(0, 𝑇) = 𝑃 0 1/2 𝐴𝑖 𝑇/𝑡 0 𝑒𝑥 𝑝 𝑎𝑇/𝑡 0 with 𝐴𝑖(𝜏) and 𝑎 being the Airy function and the truncation coefficient, respectively. The truncation coefficient or decay factor 𝑎 (0 < 𝑎 < 1) is a quantity to ensure containment of the infinite Airy tail and can thus enable the physical realization of such pulses [36]. In practice, an Airy pulse can be produced by adding a cubic phase to a Gaussian spectrum [7,35,36].…”

Section: Modellingmentioning

confidence: 99%

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Truncated Airy pulses supercontinuum generation in a silicon-on-insulator optical waveguide including third-harmonic generation and negative-frequency Kerr terms

Souang¹,

Mandeng²,

HEUTEU³

et al. 2023

Preprint

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We report in this work the numerical study of the supercontinuum generation (SCG) phenomenon raised from femtosecond truncated Airy pulses within a silicon-on-insulator (SOI) waveguide including loss effects, third-harmonic generation (THG) and negative-frequency Kerr (NFK) terms. This study is conducted through a modeling based on the full unidirectional pulse propagation equation (UPPE) model which allows to assume the existence of the NFK term in the Kerr nonlinearity with a spectral filtering. The various effects of the linear loss (LL), the free-carrier absorption (FCA)/ free-carrier dispersion (FCD), the two-photon absorption (TPA), the THG, the NFK, the peak power, the pulse duration and the pulse shape are explored and discussed. For the shape comparison, we use a symmetrical profile of the sech-type pulse. More specifically, we show that the Airy pulse has SCG spectra that are less influenced by the waveguide than the sech-type symmetric pulse; moreover, the losses effectively reduce the spectral intensity (S.I) and the spectral bandwidth (S.B) of the spectra while the THG and the NFK increase them. However, the most deleterious factor for the Airy pulse is the LL, while that of the sech-type pulse is the TPA. The SCG spectra of the Airy pulse are broader and more coherent than that of the sech-type in the studied waveguide. Due to the presence of linear and nonlinear loss terms, the increase in signal energy is deleterious to the SCG in this silicon waveguide; this results in smaller spectra as peak power and pulse duration increase.

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Section: Modellingmentioning

confidence: 99%

“…The truncation coefficient or decay factor 𝑎 (0 < 𝑎 < 1) is a quantity to ensure containment of the infinite Airy tail and can thus enable the physical realization of such pulses [36]. In practice, an Airy pulse can be produced by adding a cubic phase to a Gaussian spectrum [7,35,36]. The truncation coefficient is taken as 𝑎 = 0.05.…”

Section: Modellingmentioning

confidence: 99%

Truncated Airy pulses supercontinuum generation in a silicon-on-insulator optical waveguide including third-harmonic generation and negative-frequency Kerr terms

Souang¹,

Mandeng²,

HEUTEU³

et al. 2023

Preprint

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“…To study theoretically and numerically the dynamics of optical solitons in waveguides both in the spatial and the temporal domains, various analytical approaches such as the collective variable technique [42,43], the variational approaches (VAs) [44][45][46][47][48], perturbation technique through the analysis of the modulational instability (MI) phenomenon [49][50][51], the direct simulation of continuous, semi-discrete or discrete solutions [52][53][54] can be used.…”

Section: Introductionmentioning

confidence: 99%

Dynamics of vortex and anti-vortex solitons in a vectorial cubic-quintic complex Ginzburg-Landau equation

Nko’o Nko’o,

Djazet,

Mandeng

et al. 2024

Phys. Scr.

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In this paper, we present a study of vortex and anti-vortex dynamics within a complex cubic-quintic Ginzburg-Landau vector equation (CCQGLVE). We employ a variational approach to address the analytical aspects, and the results obtained are subsequently confirmed numerically. The vortex vector (VV) and the anti-vortex vector (anti-VV) are defined with topological charges: m = 1 for VV and m = − 1 for anti-VV. Our investigation reveals that the stability zone map corresponds to the region where greater stability can be achieved for the two studied solutions. Notably, the radius of the vortex craters experiences variations either an increase or decrease depending on the competition between the coupling parameters associated with cubic and quintic cross-phase modulation (XPM). During the propagation, the interaction between a fundamental soliton and anti-VV transforms the soliton into a vortex after a short time, but both finally undergo self-confinement which probably will generates solitons. In the case of the interaction between a VV and a fundamental soliton, we observed a self-confinement and a transformation into solitons. Considering the interaction between a VV and an anti-VV, we found that both solutions are also self-confined but the anti-VV solution turns into a soliton faster than the VV solution. This confirms that the anti-VV is the better solution that can be managed with system coupling parameters than the VV one.

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Supercontinuum generation of Airy pulses in a silicon-on-insulator optical waveguide including third-harmonic generation and negative-frequency Kerr terms

Boukar,

Mandeng Mandeng,

Heuteu

et al. 2024

Eur. Phys. J. D

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Modulational instability of truncated Airy pulses in cubic–quintic nonlinear optical waveguides with multiphoton absorptions

Cited by 4 publications

References 58 publications

Truncated Airy pulses supercontinuum generation in a silicon-on-insulator optical waveguide including third-harmonic generation and negative-frequency Kerr terms

Truncated Airy pulses supercontinuum generation in a silicon-on-insulator optical waveguide including third-harmonic generation and negative-frequency Kerr terms

Dynamics of vortex and anti-vortex solitons in a vectorial cubic-quintic complex Ginzburg-Landau equation

Supercontinuum generation of Airy pulses in a silicon-on-insulator optical waveguide including third-harmonic generation and negative-frequency Kerr terms

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