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提出了一种基于图像处理算法和频域有限差分法相结合研究实际光子晶体光纤的数值分析方法。该方法针对实际光子晶体光纤由于结构不规则难以进行数值分析的缺点,采取首先对光子晶体光纤的电镜扫描图像使用阈值分割和维纳滤波等图像处理算法获得光纤截面的几何图像,然后使用图像插值及构造均值移动窗口滤波等方法实现了网格划分和介电系数平均等步骤,最后结合频域有限差分法对光纤特性进行分析计算。结果表明,该方法能够精确分析实际光子晶体光纤的色散特性,模拟得到的实际光子晶体光纤的模场分布与实验结果吻合很好。
A numerical analysis method based on the combination of image processing algorithm and frequency domain finite difference method is proposed to study the actual photonic crystal fiber. Aiming at the shortcomings of actual photonic crystal fiber, which is difficult to carry out numerical analysis due to its irregular structure, the method takes the image processing algorithm such as threshold segmentation and Wiener filter of electron photomicroscope image of photonic crystal fiber to obtain the geometrical image of the optical fiber cross section, and then uses the image interpolation And constructing mean moving window filter to realize the steps of meshing and dielectric coefficient averaging. At last, the fiber characteristics are analyzed and calculated by using the FDTD method. The results show that this method can accurately analyze the dispersion characteristics of an actual photonic crystal fiber. The mode field distribution of the simulated photonic crystal fiber is in good agreement with the experimental results.