Report
Numerical stability of solitons waves through splices in optical fibers
| العنوان: | Numerical stability of solitons waves through splices in optical fibers |
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| المؤلفون: | de Oliveira, Camila Fogaça, Natti, Paulo Laerte, Cirilo, Eliandro Rodrigues, Romeiro, Neyva Maria Lopes, Natti, Érica Regina Takano |
| المصدر: | Acta Scientiarum Technology, 42(1), e46881, 2020 |
| سنة النشر: | 2015 |
| المجموعة: | Computer Science Mathematics Nonlinear Sciences Physics (Other) |
| مصطلحات موضوعية: | Physics - Optics, Mathematics - Numerical Analysis, Nonlinear Sciences - Pattern Formation and Solitons, Nonlinear Sciences - Exactly Solvable and Integrable Systems |
| الوصف: | The propagation of soliton waves is simulated through splices in optical fibers, in which fluctuations of dielectric parameters occur. The mathematical modeling of these local fluctuations of dielectric properties of fibers 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 $\beta$, a measure of the intensity of nonlinearity in the fiber. In order to verify whether the fluctuations of $\beta$ parameter in the splices of the optical fiber 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 $\beta$, it was found that the perturbed soliton wave stabilizes, i.e., the amplitude of the wave oscillations decreases for increasing values of propagation distance. It is concluded that the propagation of perturbed soliton wave presents numerical stability when subjected to local Gaussian fluctuations (perturbations) of the dielectric parameters of the optical fiber. Comment: 20 pages, 8 figures |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.4025/actascitechnol.v42i1.46881 |
| URL الوصول: | http://arxiv.org/abs/1504.03244 |
| رقم الانضمام: | edsarx.1504.03244 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.4025/actascitechnol.v42i1.46881 |
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