Numerical study of polarization evolution governed by linear birefringence, twist-induced circular birefringence and nonlinear birefringence in a single-mode optical fiber

Ibarra-Villalón, H E; Pottiez, O.; Gómez-Vieyra, Armando; Lauterio-Cruz, J. P.; Bracamontes-Rodríguez, Y. E.

doi:10.1088/2040-8986/ac2eaa

Cited by 5 publications

(3 citation statements)

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“…The polarization evolutions for both the continuous wave and the pulse profile are investigated by the changing that occurs in ellipticity and ellipse rotation, which caused the linear and non-linear birefringence in optical fiber, using numerical simulation to analyze the continuous wave and ultrashort pulse using the twisted single-mode optical fiber. H. E. Ibarra-Villalon, et al [16]. In a practical study to measure model birefringence in optical fibers when the core of the fiber is elliptical and using very low elliptically, the results show that model birefringence is strongly frequency dependent, especially when the fiber is run at a normalized frequency near the higher cut-off mode region.…”

Section: Introductionmentioning

confidence: 99%

Linear Birefringence in Single-Mode Optical Fiber

Mohammed

2023

Advances in Transdisciplinary Engineering

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The components of linear birefringence are essentially linear frequency dependence, Shape birefringence depends strongly on the frequency, for lower frequencies the value of Bc increases slowly with increasing ν, is an approximately constant, and give maximum value (0.46) for frequencies within the region 1.8 <V< 2.2. In contrast, when v increases at higher frequencies, the value of Bc steadily decreases. While it was shown that stress-related birefringence closely correlates with frequency, Bs has the same value as Bc and is (0.307) in the frequency value (5). This indicates that Bs contributes to Bc for large v values when the majority of the guided mode is contained inside the core. The minor axis of the core should align with the highest compressive stress, causing more power travel in the cladding and widening the mode size as the v value decreases. The fact that changes take place in that regime and that the cladding’s stress-induced birefringence is the opposite of that of the core, that is, the main axis of the core elliptical experiences the greatest extent of the core compressive stress.

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Section: Introductionmentioning

confidence: 99%

Linear Birefringence in Single-Mode Optical Fiber

Mohammed

2023

Advances in Transdisciplinary Engineering

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“…In particular, this work is focused on the NLSE in optical fiber [5], which reproduces the problem of the pulse propagation that is applied to predict and validate multiple phenomenologies in this waveguide. Particularly, the study of linear and nonlinear effects in different types of fiber (single mode fibers [5], twisted fibers [7,8], and microstructured fibers [5,6,9]) can be validated by this propagation equation. At the same time, different pulse dynamics can be studied, such as soliton dynamics [5,10,11] and pulsating instabilities [12].…”

Section: Introductionmentioning

confidence: 99%

“…Among the diversity of the mathematical methods at hand to solve the NLSE in fiber, the analytical methods, which involve a mathematical complexity in their deductions, only allow reproducing a reduced number of phenomenologies based on the soliton wave solutions [10,[17][18][19]. In contrast, the numerical methods applied to the NLSE are far more suitable to reproduce a broad range of complex behaviors [5][6][7][8][9][11][12][13][14][15][16], as previously discussed. In general, both the finite difference methods and the pseudo-spectral methods are reported to integrate adequately different versions of nonlinear Schrödinger-type equations with a high degree of convergence and stability [2,5,[20][21][22][23][24][25][26].…”

Section: Introductionmentioning

confidence: 99%

Comparative study of finite difference methods and pseudo-spectral methods for solving the nonlinear Schrödinger equation in optical fiber

et al. 2023

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This work evaluates the suitability of the finite difference methods and the pseudo-spectral methods for validating the pulse propagation problem in an optical fiber, which is modeled by the nonlinear Schrödinger equation (NLSE) represented in a classical electromagnetic version. In particular, the finite difference methods have been reported as excellent schemes for solving the nonlinear Schrödinger type-equations represented in multiple fields of study. However, a rigorous analysis of the finite difference methods for solving specifically the NLSE in fiber has not been reported yet. On the other hand, the pseudo-spectral methods are reported as optimal schemes to integrate the NLSE in fiber. Thus, four schemes of finite difference methods and three schemes of pseudo-spectral methods are analyzed by the validation of the propagation of a fundamental soliton, which demands a high level of convergence and stability to reproduce the complex behavior involved in this pulse propagation problem. As a result, we observe that the multiple phenomenologies modeled by the NLSE in fiber are reproduced numerically with the best degree of convergence and stability by the pseudo-spectral methods, whereas the finite difference methods are not suitable to validate this pulse propagation problem due to a loss of convergence and a high computational cost.

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