应用多极法理论和传输矩阵法，对基于包层空气孔为正六边形对称结构的光子晶体光纤的布喇格光栅特性进行了计算和仿真。对比研究了常规单模光纤所成光栅与相同光栅周期的光子晶体光纤布喇格光栅反射谱之间的差异，重点研究了光子晶体光纤的结构参数变化(间隙孔半径、层数)与光子晶体光纤光栅的谐振峰变化规律。当光子晶体光纤的间隙孔半径增大时，光子晶体光纤光栅的谐振波长出现蓝移；当光子晶体光纤的间隙孔径不变、层数增加时，光子晶体光纤光栅的谐振波长出现红移。

The mode field of a kind of photonic crystal fiber structure with hexagon symmetry hole cladding was analyzed by multipole method, and the effective refractive indexes of base mode at different wave lengths were obtained. The characteristics of this photonic crystal fiber grating were computed and simulated by coupled-mode method and transmission matrix method, and the difference between conventional fiber grating and photonic crystal fiber grating on their reflection spectrum was compared. The paper also analyzed the changes of photonic crystal fiber grating resonant wavelength with the structural change of photonic crystal fiber. Photonic crystal fiber grating has shorter resonant wavelength with increased radius of photonic crystal fiber pillars. Photonic crystal fiber grating has longer resonant wavelength with increased layers of photonic crystal fiber pillars but same radius.