Semi-Analytical Modelling of Linear Mode Coupling in Few-Mode Fibers

Matlab scripts, source C-code, mex compiled C-code, and figure data points for the paper entitled “Semi-Analytical Analytical Modelling of Linear Mode Coupling in Few -Mode Fibers”.

Folders:
0_differential_equations_solver
Matlab scripts based on the Symbolic Math Toolbox for the derivation of a semi-analytical solution to the differential equations describing linear mode coupling in few-mode fibres. Scripts available for 3, 4, 5 and 6 modes.

1_C_code_for_high_precision_solution_of_polynomials
C-code for the numerical evaluation of the 6-modes semi-analytical solutions obtained in 0_differential_equations_solver. Two versions: “highPrecRootFind_6M_doubleIO” uses always the same seed for the root finding section; “highPrecRootFind_6M_doubleIO_rand” uses a randomized seed for the root finding section.

2_crosstalk_vs_radial_displacement
Script for plotting typical fibre coupling coefficients and plotting of the crosstalk introduced by a single fibre displacement as a function of the radial displacement and averaged in the azimuth coordinate.

3_solutions_precision
Script for the evaluation of the precision of the semi-analytical solutions proposed against Runge-Kutta-Fehlberg Method (RKF45) numerical solutions.

98_poly_solvers_mex_files_compiled_for_R2014b_64bit
Compiled mex C-code at 1_C_code_for_high_precision_solution_of_polynomials. Compiled for Mex Matlab R2014b 64bit.

99_fibre_parameters
Typical fibre parameters used in this dataset.

100_figures_data_poins
Excel files containing the data points in the figures presented in the paper.

Matlab脚本、源C代码、mex编译的C代码以及论文《少量模式光纤中线性模式耦合的半解析建模》的图数据点。

文件夹说明：
0_微分方程求解器
基于符号数学工具箱的Matlab脚本，用于推导描述少量模式光纤中线性模式耦合的微分方程的半解析解。支持3、4、5和6种模式。

1_用于高精度解算多项式的高精度C代码
用于数值评估在0_微分方程求解器中获得的6模式半解析解的C代码。两个版本：“highPrecRootFind_6M_doubleIO”始终使用相同的种子进行根查找部分；“highPrecRootFind_6M_doubleIO_rand”使用随机种子进行根查找部分。

2_串扰与径向位移
用于绘制典型光纤耦合系数的脚本，以及绘制由单个光纤位移引入的串扰作为径向位移的函数，并在方位角坐标上平均。

3_解的精度
用于评估所提出的半解析解相对于Runge-Kutta-Fehlberg方法（RKF45）数值解的精度。

98_poly_solvers_mex_files_compiled_for_R2014b_64bit
在1_用于高精度解算多项式的高精度C代码中编译的mex C代码。为Mex Matlab R2014b 64位编译。

99_fibre_parameters
在此数据集中使用的典型光纤参数。

100_figures_data_points
包含论文中所示图形数据点的Excel文件。