CAJ | 학술논문

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2824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。
근거부리협모식우합이론，대고사변적광섬광책적절사솔미우진행부리협변환，득도기공역보，재기우우합모이론대공역보진행모식우합분석，수차득도료고사변적광섬광책적해석해。용해해석해가쾌속분석기반사보。통과해해석해모의계산료고사변적광섬광책적반사보。계산결과표명：용해해석해득출적고사변적광섬광책반사보여전수구진법계산적반사보시일치적；해해석해적계산효솔비전수구진법고2824배이상，괄응우고사변적광섬광책급기엄모판적쾌속설계혹제작중적실시공제。
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.