激光技术, 2012, 36 (4): 471, 网络出版: 2012-07-17
严格耦合波法计算体布喇格光栅衍射效率
Calculation of diffraction efficiency of volume Bragg gratings with rigorous coupled-wave method
衍射与光栅 体布喇格光栅 严格耦合波理论 衍射效率 Legendre多项式 diffraction and gratings volume Bragg grating rigorous coupled-wave theory diffraction efficiency Legendre polynomial
摘要
为了获得更精确的光栅衍射效率, 采用严格耦合波理论建立体布喇格光栅衍射机理模型, 分析了运用严格耦合波理论实现体光栅的衍射效率计算, 并利用正交Legendre多项式展开法求解耦合波方程,取得了体布喇格光栅衍射效率稳定的数值解, 得到的仿真结果符合理论计算。结果表明,相对于矩阵法,该算法具有更好的收敛速率,且比Kogelnik耦合波理论解法更精确。
Abstract
In order to obtain the accurate diffraction efficiency of gratings, the diffraction mechanism of volume Bragg gratings was established and the diffraction efficiency was calculated with the rigorous coupled-wave method. The first-order coupled Maxwell’s equations was solved in terms of Legendre polynomials, and the diffraction efficiency of volume Bragg gratings was obtained. The simulation results were consistent with theoretical calculation results. This method converges faster than the matrix method, and is more precise than the Kogelnik coupling wave theory.
张茜, 赵尚弘, 楚兴春. 严格耦合波法计算体布喇格光栅衍射效率[J]. 激光技术, 2012, 36(4): 471. ZHANG Xi, ZHAO Shang-hong, CHU Xing-chun. Calculation of diffraction efficiency of volume Bragg gratings with rigorous coupled-wave method[J]. Laser Technology, 2012, 36(4): 471.