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位相光栅衍射的矢量解法
引用本文:傅克祥,王植恒.位相光栅衍射的矢量解法[J].光学学报,1997,17(12):652-1659.
作者姓名:傅克祥  王植恒
作者单位:四川大学物理系
基金项目:中国工程物理研究院第二研究所和国家教委回国人员基金
摘    要:采用矢量理论处理了多台阶位相光栅的衍射问题,用半数值的方法把微分方程转化成广义本征方程。在利用纵向边值关系作模式匹配时,引入了模式变换阵,反射系数阵和透射系数阵,从而获得了计算电磁场振幅系数阵的递推公式,最后求出任意偏振状态下各级透波和反射波的衍射效率。

关 键 词:矢量理论  多台阶位相光栅  二元光学  光栅衍射
收稿时间:1997/1/11

A Vector Analytical Method of Phase Diffraction Grating
Fu Kexiang,Wang Zhiheng,Zhang Dayue,Wen Jun,Tang Jin.A Vector Analytical Method of Phase Diffraction Grating[J].Acta Optica Sinica,1997,17(12):652-1659.
Authors:Fu Kexiang  Wang Zhiheng  Zhang Dayue  Wen Jun  Tang Jin
Abstract:A vector theory for diffraction of multi step phase grating is presented. The half numerical method converts differential equation into generalized eigenvalue equation. At matching the boundary conditions in the longitudinal direction, a mode conversion matrix is introduced together with the reflection and transmission coefficient matrices. The iteration formula of the amplitude coefficient of the electric field are derived out. Finally the diffraction efficiency for each order of the transmission wave and the reflection wave are obtained in the any polarization.The computer program developed from the method has much less amount of calculation so that it can work on PC fast and stable. The method presented in this paper provides a simple fast algorithm to design binary optical element by vector diffraction. The results show that the scalar theory results differ greatly with that of the vector theory in the certain condition.
Keywords:vector  theory    multi  step  phase  grating    binary  optical    half  numerical  method    mode  conversion  matrix    reflection  coefficient  matrix    transmission coefficient  matrix    
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