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利用全矢量有限元方法,对椭圆六角对称分布微结构光纤(MF)的双折射特性进行了理论分析,得到了双折射大小与结构参量、入射波长间的依赖关系。分析表明:合理设计结构参量可得到10-3量级大小的双折射;微结构光纤的双折射对光波波长极其敏感,并出现随波长变化快慢轴交换的现象。采用统计的方法对双折射与微结构光纤空气孔直径随机变化的统计相关性进行了理论分析,假定空气孔直径为高斯分布,获得了双折射大小的平均值和标准偏差与随机变化孔径的统计关系。结果表明,由孔径分布不规则所产生的双折射的大小主要取决于空气孔直径的平均值。
By using full vector finite element method, the birefringence of elliptical hexagonal symmetrical distributed microstructure fiber (MF) has been theoretically analyzed. The dependence of the birefringence on the structure parameters and the incident wavelength has been obtained. The analysis shows that the birefringence of 10-3 order of magnitude can be obtained by reasonably designing the structure parameters. The birefringence of the microstructured fiber is extremely sensitive to the wavelength of the light, and the phenomenon of fast and slow axis exchange occurs with the wavelength. The statistical correlation between the birefringence and the stochastic variation of the air hole diameter of the microstructured optical fiber is theoretically analyzed. The average pore size of the air hole is assumed to be Gaussian, and the mean and standard deviation of the birefringence and the statistics of the stochastically varying aperture are obtained relationship. The results show that the size of the birefringence due to the irregular distribution of pore size mainly depends on the average pore diameter.