均匀光纤光栅法布里-珀罗腔反射峰值波长分析

从均匀光纤光栅法布里-珀罗腔(F-P腔)的工作原理出发,通过引入等效F-P腔长,分析推导出了其反射峰值波长表达式,得到反射峰间隔及其主带宽内的谐振峰数,并且从物理意义上进行了解释。在耦合模理论和传输矩阵法的基础上,通过MATLAB编程进行了数值模拟仿真,并以两种方式改变等效F-P腔长来分析其对反射谱的影响。模拟仿真结果表明,等效F-P腔长的引入对公式起了关键性作用,它等同于均匀取样光纤光栅(USFBG)反射峰值波长表达式中的取样周期,验证了理论分析的结果。

Analysis on the Reflection- Maximum Wavelengths of the Uniform Fiber- grating F- P Cavity

The analytical expression for the reflection-maximum wavelengths of the uniform fiber-grating F-P cavity is derived and explained by introducing equivalent F-P cavity length from its work principle,the reflection peak gap and the resonance peak numbers of the main band width are also obtained.Then based on the coupled-mode theory and the transmission matrix method,the result of numerical simulation by MATLAB programming indicates that the equivalent F-P cavity length plays a key role in the expression,which is similar to the sampling period of uniform sampled fiber gratings in its reflection-maximum wavelengths expression,which confirmed the theoretical analysis.