闪耀光栅锥面衍射的标量分析  

Scalar Analysis of Conical Diffraction of Blazed Grating

作　　者：叶玉宁 王长顺 Ye Yuning;Wang Changshun(School of Physics and Astronomy,Shanghai Jiao Tong University,Shanghai 200240,China)

机构地区：[1]上海交通大学物理与天文学院,上海200240

出　　处：《激光与光电子学进展》2023年第19期66-71,共6页Laser & Optoelectronics Progress

基　　金：国家自然科学基金(92050116)。

摘　　要：基于扩展标量衍射理论,同时对于透射和反射的情况,考虑了入射光的方位角(即锥面衍射),推导了闪耀光栅任意衍射级次的相对衍射效率。证明在分别以平面和介质分界面为界对闪耀光栅运用扩展标量理论时,得到的相对衍射效率公式不同,但是得到的最优化深度和闪耀波长相同,并给出了相应的显式表达式。以特定参数的闪耀光栅为例,分别将两种相对衍射效率公式与严格耦合波理论进行了比较,结果表明,两种公式差距很小,且均和严格耦合波理论结果符合得很好。Based on the extended scalar diffraction theory,the relative diffraction efficiency of any diffraction order is deduced considering the azimuth of incident light(conical diffraction) for transmission and reflection.It is proved that the relative diffraction efficiency formulas are different when using the extended scalar theory for a blazed grating bounded by the plane and medium interface,respectively.However,the optimized depth and blaze wavelength are the same,with corresponding explicit expressions provided.The two relative diffraction efficiency formulas are applied to a blazed grating with specific parameters to compare with rigorous coupled-wave analysis.The results show that the difference between the two formulas is minimal,and both are consistent with the rigorous coupled-wave analysis.

关 键 词：衍射与光栅 扩展标量衍射理论 闪耀光栅 锥面衍射 衍射效率 

分 类 号：O436.1[机械工程—光学工程]