根据在一般坐标系下均匀布拉格光纤光栅的传输矩阵,得到了取样布拉格光纤光栅的传输矩阵。利用傅里叶变换得到了取样布拉格光纤光栅的谐振方程。结果表明,在不考虑平均折射率变化的情况下,谐振峰的位置是由光栅的周期和取样周期共同确定的,与取样时的占空比、光栅长度和耦合系数没有关系。类似于物理光栅,取样布拉格光纤光栅也存在缺级现象,给出了出现缺级的条件。 According to the transmission matrix of a uniform Bragg grating in a general coordinate system, the transmission matrix of sampled Bragg gratings is obtained. The resonant equations of sampled Bragg gratings are obtained by Fourier transform. The results show that the position of the resonant peak is determined by the grating period and the sampling period irrespectively of the average refractive index change, irrespective of the sampling duty ratio, grating length and coupling coefficient. Similar to physical gratings, sampling Bragg fiber gratings also exists a lack of phenomena, given the emergence of the lack of conditions.