比较了光纤布拉格光栅法布里-珀罗腔的极限法、平衡法及传输矩阵法3种算法,证明了它们是一致的,指出了光纤布拉格光栅复振幅传输矩阵的相移特性对法布里-珀罗腔透射率的影响。对计算任意折射率调制的光纤布拉格光栅的Rouard算法进行了改进,在分层方法中考虑了折射率分布初始相位的影响,获得了更为准确的反射复振幅相位特性,将该结果应用于计算光纤布拉格光栅法布里-珀罗腔,得到了光纤布拉格光栅法布里-珀罗腔具有多峰结构的透射谱,并经过实验验证了该理论的正确性。

The limit method, balance method and transfer matrix method for fiber Bragg grating (FBG) Fabry-Pérot (F-P) cavity are studied and proved uniform. The influence of the reflection phase of fiber Bragg grating complex amplitude transfer matrix on the transmission of fiber Bragg grating Fabry-Pérot cavity is emphasized. The Rouard method, which is capable of calculating fiber Bragg grating with arbitrary refractive index modulation, is used to calculate fiber Bragg grating Fabry-Pérot cavity and modified by introducing initial phase of refractive index distribution to calculate the reflection phase precisely. The transmission spectrum of fiber Bragg grating Fabry-Pérot cavity with multi-peak structure is obtained with the above results and the calculation results are proved by experiments.