横向非均匀应变作用下光纤光栅的特性分析

Spectral Characteristic Analysis of FBG under the Transverse Inhomogeneous Strain Field

对光纤布拉格光栅在横向非均匀应变场作用下的光谱畸变特性,进行了详细的理论分析和研究.采用耦合模理论和传输矩阵法,建立了横向非均匀应变下光纤布拉格光栅的数学模型,并应用龙格-库塔的数值分析方法和传输矩阵法分别对线性分布的、二次曲线型分布的以及正弦型分布的等非均匀应变下的FBG反射谱特性进行了仿真分析.通过仿真分析建立了三种类型应变下的FBG反射谱与应变的关系,两种分析方法得到结果基本一致.

This paper aims at spectral characteristic of FBG under the transverse inhomogeneous strain field. The exhaustive theoretical analysis and experimental studies have been carried out to it. The coupled mold theory and the transfer matrix method are employed, and the mathematical model of FBG under the transverse inhomogeneous strain has been established. And by employing the Runge-kutta method the reflection spectrum characteristic of FBG under the inhomogeneous strain are analyzed, such as the linear distribution, the conic section distribution as well as sine distribution and so on. The relationship between the strain and reflected spectrum of FBG under three types of strains has been established through the simulation analysis, and the correctness of theory and simulation analysis have been proved through the experimental study.