摘要
根据傅里叶模式耦合理论,对高斯变迹光纤光栅的折射率微扰进行傅里叶变换,得到其空域谱,再基于耦合模理论对空域谱进行模式耦合分析,首次得到了高斯变迹光纤光栅的解析解。用该解析解可快速分析其反射谱。通过该解析解模拟计算了高斯变迹光纤光栅的反射谱。计算结果表明:用该解析解得出的高斯变迹光纤光栅反射谱与传输矩阵法计算的反射谱是一致的;该解析解的计算效率比传输矩阵法高2 824倍以上,适应于高斯变迹光纤光栅及其掩模板的快速设计或制作中的实时控制。
The analytic solution of the optical property of Gaussian-apodized FBGs （GA-FBGs） is derived from the Fourier mode coupling （FMC） theory for the first time. The analytic solution is achieved by the calculation of coupling equation in the spatial domain spectrum, which is the Fourier transform result of refractive index perturbation in GA-FBGs. The reflective spectra of GA-FBGs are fast simulated here using the analytic solution. The simulation shows that the calculated spectra on the analytic solution are agreement with that on transfer matrix method, and that the analysis efficiency of FMC theory is improved over 2824 times that of the transfer matrix method. The analytic solution is suitable for fast analysis or real-time control during the design and manufacturc of GA-FBG or its mask.
出处
《重庆理工大学学报（自然科学）》
CAS
2011年第9期58-62,共5页
Journal of Chongqing University of Technology：Natural Science
