Study of femtosecond soliton dynamics in photonic crystal fiber using the moment method

Mahboub, Mourad; Bekhti, Djamel

doi:10.1016/j.ijleo.2014.02.007

Cited by 2 publications

(2 citation statements)

References 18 publications

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“…When discussing the soliton problem, it is best to work on a normalized propagation equation. In order to obtain this equation that is without units, we will perform the following transformations [4,17]…”

Section: The Normalized Gnlsementioning

confidence: 99%

Study of Soliton Interaction in Optical Fibers with Third Order Dispersion and Higher Order Nonlinear Effects

Alkinzawi,

Hassan A. Yasser

2023

UTJsci

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In this paper, we present a numerical approach to solve the GNLSE and analyze soliton interaction phenomena using COMSOL environment. By leveraging the capabilities of COMSOL's PDE module, we can accurately capture the dynamics of solitons and investigate their interactions. We analyze the impact of different parameters such as soliton power, initial separation distance, and dispersion characteristics on the soliton dynamics. Furthermore, we examine the role of higher-order dispersion terms in shaping the soliton interactions. Our findings demonstrate the effectiveness of the proposed numerical approach in accurately simulating and analyzing soliton interaction phenomena. The COMSOL-based methodology provides a flexible and efficient framework for studying complex nonlinear optical systems, enabling researchers to gain insights into the behavior of solitons in different media and design optimized communication systems. This paper contributes to the understanding of soliton dynamics and provides a practical tool for investigating the behavior of solitons in nonlinear dispersive media. The presented numerical approach using COMSOL opens avenues for further research in nonlinear optics and fiber optic communication systems.

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Section: The Normalized Gnlsementioning

confidence: 99%

Study of Soliton Interaction in Optical Fibers with Third Order Dispersion and Higher Order Nonlinear Effects

Alkinzawi,

Hassan A. Yasser

2023

UTJsci

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“…It should be observed that the perturbed coupled nonlinear Schrödinger differential equations systems, which describe wave propagation in real optical media, do not present analytical solution (Korpinar, 2019). In literature there are several numerical approaches, whose objective is to describe the propagation of perturbed solitons in dielectric environments, most of them using the finite difference method (Cirilo, Natti, Romeiro, Natti, & Oliveira, 2010;Mahboub & Bekhti, 2014;Li, Li, Cao, & Li, 2017) or the finite element method (Queiroz, Natti, Romeiro, & Natti, 2006;Saka, 2012;Karczewska, Rozmej, Szczecinski, & Boguniewicz, 2016). On the other hand, to solve numerically the system of generated equations, authors use various methods like Newton's method (Syafwan, Susanto, Coix, & Malomed, 2012), Crank-Nicolson method (Liang, Khaliq, & Sheng, 2014), Runge-Kutta Method (Shirazi, Solaimani, Farnam, Ghalandari, & Aleomraninejad, 2017), among others (Dehghan & Taleei, 2010;Gupta, Dalal, & Mishra, 2014;Gupta, Dalal, & Mishra, 2015;Choudlhary, Jha, Mishra, & Vandana, 2018).…”

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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Study of femtosecond soliton dynamics in photonic crystal fiber using the moment method

Cited by 2 publications

References 18 publications

Study of Soliton Interaction in Optical Fibers with Third Order Dispersion and Higher Order Nonlinear Effects

Study of Soliton Interaction in Optical Fibers with Third Order Dispersion and Higher Order Nonlinear Effects

Numerical stability of solitons waves through splices in quadratic optical media

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