传输矩阵法求解长短周期级联光纤光栅传输谱  

Solving Long-and Short-Period Cascaded Fiber Gratings Transmission Spectrum by Transmission Matrix Method

作　　者：杨颖 YANG Ying(School of Automation and Electrical Engineering,Linyi University,Linyi 276005,CHN)

机构地区：[1]临沂大学自动化与电气工程学院,山东临沂276005

出　　处：《半导体光电》2022年第4期677-682,共6页Semiconductor Optoelectronics

基　　金：国家自然科学基金项目(51471130);山东省自然科学基金项目(ZR2015FL033);临沂大学博士启动基金项目(LYDX2016BS079)。

摘　　要：基于光纤光栅的模式耦合理论,用传输矩阵法对长短周期级联光纤光栅的传输谱特性进行分析。先由耦合模方程分别得到长周期光纤光栅(LPFG)、连接光纤段和短周期光纤光栅(FBG)的传输矩阵,然后将它们相乘得到总的传输矩阵,最后再结合边界条件求得长短周期级联光纤光栅(CLBG)的传输谱。进一步对CLBG的传输谱进行了数值模拟,并通过实验进行了验证。实验结果表明,CLBG的传输谱中出现了由纤芯模和包层模耦合形成的两个谐振峰,与模拟计算的结果一致,证明了传输矩阵法求解CLBG传输谱的可行性,为CLBG在多参量传感和测量领域的广泛应用提供了理论支持。Based on the mode coupling theory of fiber grating,the transmission spectrum characteristics of cascaded long-and short-period fiber grating were analyzed by transmission matrix method.The transmission matrices of long-period fiber grating(LPFG),connected fiber and short-period fiber Bragg grating(FBG)were obtained by the coupling mode equation,and then the total transmission matrix of cascaded fiber gratings could be obtained by multiplying them.Finally,the transmission spectrum of long-and short-period cascaded fiber Bragg grating(CLBG)was obtained by combining boundary conditions.The transmission spectrum of CLBG was further simulated numerically and verified by experiment.The experimental results show that there are two resonant peaks formed by the coupling of core mode and cladding modes in the transmission spectrum of CLBG,which are consistent with the simulation results.It verifies the feasibility of the transmission matrix method to solve the transmission spectrum of CLBG,and provides theoretical support for the wide application of CLBG in the field of multi-parameter sensing and measurement.

关 键 词：长短周期级联光纤光栅 模式耦合理论 传输矩阵法 传输谱 

分 类 号：TP212.14[自动化与计算机技术—检测技术与自动化装置] TN253[自动化与计算机技术—控制科学与工程]