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快速有效地获得级联、超结构、倾斜光纤光栅等大计算量光栅类型的光谱特性,是优化设计基于上述光栅建立的各种光器件的重要基础和前提保障。从有效折射率法(EIM)出发,验证了用于光纤光栅理论分析的新型方法——V-I传输矩阵法的正确性。选择相同参量进行分析,结果表明,V-I传输矩阵法和经典传输矩阵法模拟分析的结果基本一致,且与实验结果的误差满足精度要求。该方法简化了传输矩阵,大大提高了计算效率,如果将光栅分割成N层进行分析,则可节约N个矩阵的运算时间,N越大,分析精度越高,本方法快速计算的优势也越明显。
It is an important foundation and precondition to optimize the design of various optical devices based on the above-mentioned grating to obtain the spectral characteristics of large amount of grating such as cascade, super structure and inclined fiber grating quickly and effectively. Based on EIM, the correctness of V-I transfer matrix method is validated for a new method of theoretical analysis of fiber grating. The same parameters are selected for analysis. The results show that the results of V-I transmission matrix method and classical transmission matrix method are basically the same, and the error with the experimental results meet the accuracy requirements. The method simplifies the transfer matrix and greatly improves the computational efficiency. If the grating is divided into N layers for analysis, the computation time of N matrices can be saved. The larger the N is, the higher the analysis precision is and the faster the method has the advantage of calculation obvious.