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对Bragg光纤中包层制造误差对导模特性的影响进行了深入的分析和研究,给出了一般N层波导中模式场标量波动方程求解的传输矩阵方法,并将其应用在Bragg光纤模式场的分析当中。分别研究了Bragg包层存在折射率误差和厚度误差时对光纤基模模式场的有效折射率、模场半径和芯区功率占比的影响,并利用统计的方法分析了不同制作误差时导模特性的相对变化。折射率误差在1‰的水平时,基模有效折射率、模场半径和芯区功率占比的方差水平为1.55×10~(-4)、1.04×10~(-1)和1.79×10~(-2);厚度误差在2%的水平时模式场参量的方差水平分别为3.61×10~(-5)、1.84×10~(-2)和2.35×10~(-3)。
The influence of the manufacturing error of cladding in Bragg optical fiber on the characteristics of the guided mode is analyzed in depth. The transfer matrix method for solving the scalar wave equation of the mode field in general N-layer waveguide is given and applied to the Bragg fiber mode field Among the analysis. The effects of refractive index error and thickness error of Bragg cladding on the effective refractive index, mode field radius and core power ratio of Bragg cladding were studied respectively. The relative change of sex. When the error of refractive index is 1 ‰, the variance of the fundamental mode effective refractive index, mode field radius and core power ratio are 1.55 × 10 -4, 1.04 × 10 -1 and 1.79 × 10 ~ (-2). The variance of the field parameters of the model with the thickness error of 2% is 3.61 × 10 -5, 1.84 × 10 -2 and 2.35 × 10 -3, respectively.