取样布拉格光纤光栅的传输矩阵

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。

Transmission matrix of sampled fiber Bragg gratings

The transmission matrix of sampled fiber Bragg gratings is derived accoring to the fiber Bragg gratings in general reference frame,and the resonance equation of the sampled fiber Bragg gratings is gotten from the Fourier's transform.When the mean change of the refractive index is not considered,the resonance wavelengths are determined by both of the grating period and the sampled period,which have no relation to the duty cycle and the length of the grating and the coupling coefficient.Similar to the physics gratings,the sampled fiber Bragg gratings also have the phenomenon of missing orders.The condition of the missing orders is derived.