利用膜层传输矩阵理论研究折射率调制对布拉格光纤光栅传输特性影响.根据传输矩阵理论计算光栅折射率的调制幅度、光栅长度、调制方法等对布拉格光纤光栅的反射率、反射峰波长和半幅宽度的影响.结果表明：膜层传输矩阵理论与传统传输矩阵法、耦合模理论对布拉格光纤光栅特性分析结论一致;采用高调制长度、低调制幅度可以获得良好的布拉格光纤光栅反射峰,而反射主峰位置改变需用调整调制周期.实验和理论对比分析了主峰在1 550 nm波长的布拉格光纤光栅反射峰情况,验证了该方法的可行性.与传统方法相比,膜层传输矩阵法计算公式简单、运行速度快,可应用于布拉格光纤光栅辅助设计.

Membrane transfer matrix theory was used to study the influence between modulation refractive index and transmission characteristics of optical Fiber Bragg Grating (FBG). The influence of grating refractive index modulation amplitude,grating length and modulation method on reflectivity,the reflection peak wavelength and half width of FBG is calculated based on transfer matrix theory. The results show that characteristics of FBG analyzed by the Membrane layer transfer matrix theory,the traditional transfer matrix method and the coupled-mode theory is consistent;high modulation length,low modulation amplitude can obtain good FBG reflection peak,and the main reflection peak position need adjusted by the modulation cycle. The method is verified through the experiment and theoretical analysis of the main reflection peak of FBG in the 1550 nm. Membrane layer transfer matrix method can be applied to the FBG aided design for its simple calculation formula,fast speed compared with traditional methods.