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任意面形介质光栅的衍射特性分析
引用本文:赵华君,乔闹生,袁代蓉.任意面形介质光栅的衍射特性分析[J].四川激光,2007,28(4):26-27.
作者姓名:赵华君  乔闹生  袁代蓉
作者单位:重庆文理学院物理与信息工程系,重庆,永川,402160;湖南文理学院物理与电子科学系,湖南,常德,415000
摘    要:采用严格耦合波理论(RCWA)和多层近似法,详细的推导了任意面形介质光栅的衍射问题,得出了其矩阵求解方程,并采用增强透射矩阵法来避免直接求解带来的数值不稳定,提高了计算效率.使用该方法对梯形光栅进行了数值计算,结果表明采用严格耦合波理论和多层近似法,可以方便、有效地求解任意面形介质光栅的衍射效率问题,计算中光栅在不同参数下衍射效率的总和严格等于1,且未有数值不稳定性问题.

关 键 词:任意面形介质光栅  衍射特性  严格耦合波理论  多层近似法  梯形光栅
文章编号:0253-2743(2007)04-0026-02
修稿时间:2007-04-05

Analysis the diffractions characteristics of any shape profile gratings
ZHAO Hua-jun,QIAO Nao-sheng,YUAN Dai-rong.Analysis the diffractions characteristics of any shape profile gratings[J].Laser Journal,2007,28(4):26-27.
Authors:ZHAO Hua-jun  QIAO Nao-sheng  YUAN Dai-rong
Institution:1. Dept. of Physics and Information, Chongqing Univ, of Arts and Sciences,VongChuan, Chongqing 402160, China; 2. Dept. of Physics and Electronics, Hunan University of Arts and Science, Changde, Hunan 415000, China
Abstract:An enhanced,numerically stable transmittance matrix approach is developed and is applied to the implementation of the rigorous coupled-wave analysis and multilayer approximation for any shape profile gratings.The enhanced approach is shown to produce numerically stable results for excessively multilayer approximation.The method is used to nmnerical calculation of the trapeziform grating.The results had shown using this method can calculate the diffraction efficien- cy of any shape profile grating conveniently and availability.In this calculation the sum of diffraction efficiency amount to one in different parameter,and doesn' t-appear numerical instability.
Keywords:any shape dielectric profile gratings  diffractions characteristics  RCWA  multilayer approximation  trapeziform grating
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