Dataset of Numerical and Analytical Nonlinearity Coefficients of Multimode Fibers
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The dataset contains design parameters and nonlinear coefficients for sets of multimode optical fibers (MMFs), from single-mode fibers to multimode fibers with thousands of modes, for the purpose of long-haul optical communications. The nonlinearity coefficients belong to two types of fibers analyzed in the related paper [Carniello24]: 1) the MMFs which have been considered to compute scaling laws and bounds on the matrix of nonlinearity coefficients γκ, 2) a number of optimized and manufactured MMFs proposed in the literature. For both groups, mode effective areas and intermodal effective areas, the Manakov nonlinear coefficient κ for the strong coupling regime (and the matrix of nonlinearity coefficients κ for the weak coupling regime for graded-index fibers), and the nonlinearity coefficient γκ (and the matrix of nonlinear coefficients γκ for graded-index fibers) are provided. For the first group of fibers, core radius, refractive index difference, and numerical aperture are additionally given. The analytically derived values for the matrix of nonlinearity coefficients γκ for graded-index fibers are included. The script and functions for symbolic computation to calculate them are also provided. A thorough description is given in the following paper: [Carniello24] Carniello P., Ferreira F. M., Hanik N., "Closed-Form Expressions for Nonlinearity Coefficients in Multimode Fibers", submitted to the IEEE Journal on Selected Areas in Communications, 2024. The provided files are: 1) a folder named "Databases" containing .mat files about the fiber data; 2) the script "researchData.m" explaining the content of the folder Databases and generating figures of the paper; 3) the script "kAnalyticSymbolic.m" for the symbolic computations for retrieving the analytic results contained in Databases/kSc_kImgc_gifsAnalytic.mat. All needed functions are provided in the folder Library.
本数据集包含适用于长距离光通信的多模光纤（Multimode Optical Fibers, MMFs）系列的设计参数与非线性系数，覆盖范围从单模光纤至拥有数千个模式的多模光纤。其非线性系数对应相关论文[Carniello24]中分析的两类光纤： 1) 用于推导非线性系数矩阵γκ缩放定律与边界条件的多模光纤； 2) 文献中提出的多款经过优化并实际制造的多模光纤。 针对上述两类光纤，本数据集提供了模式有效面积、模间有效面积、强耦合情形下的马纳科夫非线性系数κ（以及渐变折射率光纤弱耦合情形下的非线性系数矩阵κ），以及非线性系数γκ（以及渐变折射率光纤的非线性系数矩阵γκ）。针对第一类光纤，还额外提供了纤芯半径、折射率差与数值孔径。 本数据集还包含渐变折射率光纤的非线性系数矩阵γκ的解析推导值，以及用于计算这些值的符号运算脚本与函数。 该数据集的详细说明可参阅以下论文： [Carniello24] Carniello P., Ferreira F. M., Hanik N., 《多模光纤非线性系数的闭合形式表达式》，已提交至IEEE Journal on Selected Areas in Communications，2024年。 本次提供的文件包括： 1) 名为"Databases"的文件夹，内含存储光纤数据的.mat文件； 2) 脚本"researchData.m"，用于说明Databases文件夹的内容并复现论文中的相关图表； 3) 脚本"kAnalyticSymbolic.m"，用于对Databases/kSc_kImgc_gifsAnalytic.mat中包含的解析结果进行符号运算。所有所需函数均已在Library文件夹中提供。
