光栅模式的色散方程与对称性  

Dispersion Equation and Symmetry of Grating Modes

作　　者：项长铖 周常河[1] Xiang Changcneng;Zhou Changhe(Laboratory of Information Optics and Optoelectronic Technology,Shanghai Institute of Optics and Fine Mechanics Shanghai 201800,China;University of Chinese Academy of Sciences,Beijing 100049,China)

机构地区：[1]中国科学院上海光学精密机械研究所信息光学与光电技术实验室,上海201800 [2]中国科学院大学,北京100049

出　　处：《光学学报》2018年第9期52-57,共6页Acta Optica Sinica

基　　金：国家自然科学基金(61405217;61405216)

摘　　要：提出了横电、横磁偏振布拉格角入射下光栅模式的色散方程可进一步分解的理论,证明了分解得到的方程与光栅模式对称性间的等价关系。光栅模式的对称性有助于阐释光栅内部衍射过程的物理图像。通过讨论光栅模式方程的根的分布性质,提出了一种提高有效折射率计算效率的方法。The theory about the further factorization of the dispersion equation of the grating mode under the incidence of Bragg angle and transverse electric and transverse magnetic polarizations is proposed,and the equivalent relationship between the factorized equation and the symmetry of the grating mode is confirmed.The symmetry of grating modes is beneficial to illustrate the physical picture of the diffraction process within gratings.By the analysis of the distribution property of the root of the grating mode equation,a method to improve the computation efficiency of the effective refractive index is proposed.

关 键 词：衍射 衍射理论 衍射光栅 色散方程 对称性 

分 类 号：O436[机械工程—光学工程]