利用矩阵分析法, 针对两个相同光栅构成的光纤布拉格光栅法布里-珀罗(F-P)腔滤波器进行理论分析。数值模拟分析了光栅长度变化对光栅以及F-P腔滤波器反射特性的影响, 指出光栅长度增加对反射特性影响的优缺点, 分析利用常用切趾函数对光栅进行切趾, 减小由于光栅长度增加导致反射谱的的旁瓣增大, 对组成的F-P腔滤波器的反射特性的优化, 得到了光栅切趾对F-P腔滤波器的反射特性的影响规律。对于在实际应用中制作出性能优良的光纤布拉格光栅F-P腔滤波器有一定的参考价值。

Based on the analysis of its cavity characteristics, using the method of transfer matrix for the fiber Bragg grating Fabry-Perot (F-P) cavity with identical grating parameters at two ends, the influence of changes of length of fiber Bragg gratings F-P cavity on its reflection spectrum features is analyzed. Using different apodization profiles works on fiber Bragg grating and F-P cavity, and the effect and their relationship between the reflection spectrum features and apodized fiber Bragg gratings are elucidated out, which are also meaningful to actual experments and applications in using fiber Bragg gratings F-P cavity.