大学物理 ›› 2017, Vol. 36 ›› Issue (6): 56-60.doi: 10.16854 /j.cnki.1000-0712.2017.06.015

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光在突变介质界面传输特性的FDTD 方法研究

陈羽,彭勇宜,夏辉,欧阳方平   

  1. 中南大学物理与电子学院,湖南长沙410012
  • 收稿日期:2016-10-11 修回日期:2017-01-03 出版日期:2017-06-20 发布日期:2017-06-20
  • 作者简介:陈羽( 1982—) ,男,湖南益阳人,中南大学物理与电子学院副教授,博士,主要从事电磁理论、光电功能材料及器件设计的研究工作.
  • 基金资助:
    2016 年度中南大学教育教学改革项目( 2016jy23) 、教育部高等学校大学物理课程教学指导委员会项目( DWJZW201602ZN) 资助

FDTD analysis of the light transmission properties at the interface of discontinuous medium

CHEN Yu,PENG Yong-yi,XIA Hui,OUYANG Fang-ping   

  1. School of Physics and Electronics,Central South University,Changsha,Hunan 410083,China
  • Received:2016-10-11 Revised:2017-01-03 Online:2017-06-20 Published:2017-06-20

摘要: 利用时域有限差分( FDTD) 方法,结合Matlab 编程,研究了光在突变介质界面的反射、透射与干涉.研究改变边界位 置介电系数的变化率、连续性等,对反射光强的影响; 调整薄膜厚度、电磁参数等,实现了对光干涉现象的动态建模.FDTD 方法 能够获得电磁场的时域数值解,可以直接进行动态演示; 同时,运用FDTD 方法可以通过改变介质结构,电磁参数等构筑计算 机试验,真正实现让学生自己动手,去观察,去发现隐藏在物理表象下的物理本质.

关键词: Matlab 物理建模, FDTD 方法, 薄膜干涉, 光传输

Abstract: Based on the finite - difference time - domain ( FDTD) method and combined with Matlab programming,the characteristics of light reflection,transmission and interference at the interface of discontinuous medium are studied. Parameters such as the gradient and continuity of permittivity,which affect the intensity of reflected light at the interface,are discussed. Also,dynamic modeling of light interference is rebuilt on computer and systematically investigated by tuning the electromagnetic and structural parameters of the interference thin film. The FDTD method can achieve a time-domain and numerical solution of the electromagnetic field,which is very convenient for dynamic demonstration. Meanwhile,computer experiments can be realized by changing the structural and electromagnetic parameters of the cared medium,which makes it possible for students to do it themselves and to learn,to investigate the physical nature that is covered behind of those numerical physical phenomena.

Key words: Matlab physical modeling, finite-difference-time-domain method, film interference, light transmission