Evolution of finite-energy Airy pulse interaction with high-power soliton pulse in optical fiber with higher-order effects

Wen, Bing; Deng, Ying; Shi, Xiaohui; Fu, Xinghu

doi:10.1016/j.ijleo.2017.09.113

Cited by 2 publications

(1 citation statement)

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“…On the other hand, to describe real-world fiber-optic systems, it is more realistic to include further disturbing effects such as influence of fusion splice (Wang, Zhou, Xu, Yang, & Zhang, 2019), Rayleigh scattering (Palmieri & Schenato, 2013), high-order dispersion and high-order nonlinearities (Triki, Biswas, Milović, & Belić, 2016), soliton self-steepening, Raman effect and self-frequency shift (Wen, Deng, Shi, & Fu, 2018), polarization-mode dispersion (Kumar & Rao, 2012), nonlinear phase noise (Yushko, Redyuk, Fedoruk, & Turitsyn, 2014), among others (Ashraf, Ahmad, Younis, Ali, & Rizvi, 2017).…”

Section: Introductionmentioning

confidence: 99%

Numerical stability of solitons waves through splices in quadratic optical media

et al. 2020

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The propagation of soliton waves is simulated through splices in quadratic optical media, in which fluctuations of dielectric parameters occur. A new numerical scheme was developed to solve the complex system of partial differential equations (PDE) that describes the problem. Our numerical approach to solve the complex problem was based on the mathematical theory of Taylor series of complex functions. In this context, we adapted the Finite Difference Method (FDM) to approximate derivatives of complex functions and resolve the algebraic system, which results from the discretization, implicitly, by means of the relaxation Gauss-Seidel method. The mathematical modeling of local fluctuations of dielectric properties of optical media was performed by Gaussian functions. By simulating soliton wave propagation in optical fibers with Gaussian fluctuations in their dielectric properties, it was observed that the perturbed soliton numerical solution presented higher sensitivity to fluctuations in the dielectric parameter β, a measure of the nonlinearity intensity in the fiber. In order to verify whether the fluctuations of β parameter in the splices of the optical media generate unstable solitons, the propagation of a soliton wave, subject to this perturbation, was simulated for large time intervals. Considering various geometric configurations and intensities of the fluctuations of parameter β, it was found that the perturbed soliton wave stabilizes, i.e., the amplitude of the wave oscillations decreases as the values of propagation distance increases. Therefore, the propagation of perturbed soliton wave presents numerical stability when subjected to local Gaussian fluctuations (perturbations) of the dielectric parameters of the optical media.

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