光纤光栅可以看作为周期性高、低折射率相间的多层薄膜叠合结构。用波动方法推导了计算这一结构总反射系数的一个新的循环公式。用这一方法计算了均匀光纤光栅布拉格相位匹配、失配情况和非均匀光纤光栅的反射系数,并将其结果与用耦合波理论、Rouard方法以及基础矩阵方法的结果进行了比较,并检验了这些方法的精度。

Fiber gratings can be viewed as a periodic high and low refractive index multilayer thin film stack. The total reflection coefficient of this structure is then obtained through a recursion formula, which is derived by using electromagnetic field theory. Bragg matched and detuned uniform gratings as well as non uniform gratings have been analyzed by using this method. The results have been compared with that by using coupled mode theory, Rouard's method and fundamental matrix method, and the accuracy of these methods have been checked.