| 位相光栅的严格模式理论及其全反射特性 |
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| 引用本文： | 傅克祥,张大跃,王植恒,张奇志,张 靖.位相光栅的严格模式理论及其全反射特性[J].物理学报,1998,47(8):1278-1288. |
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| 作者姓名： | 傅克祥 张大跃 王植恒 张奇志 张 靖 |
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| 作者单位： | 四川大学物理系，成都 610064 |
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| 基金项目： | 国家教育委员会回国人员基金和中国科学院光电技术研究所微细加工光学技术国家重点实验室资助的课题. |
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| 摘 要： | 用严格的模式理论研究了位相光栅中的电磁场分布和各衍射级次的衍射效率.用分段解析函数来表达本征函数，而不采用无穷级数的方法.利用稳定、快速和精度高的递推公式来计算反射透射阵和振幅系数阵，从而能处理任意多台阶的位相光栅.数值计算结果表明，存在全反射.也讨论了全反射的条件和物理机制.
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| 关 键 词： | 衍射效率 位相光栅 模式理论 全反射 |
| 收稿时间： | 1997-12-10 |
RIGOROUS MODAL THEORY OF PHASE GRATING AND THE TOTAL REFLECTANCE PROPERTY |
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| FU KE-XIANG,ZHANG DA-YUE,WANG ZHI-HENG,ZHANG QI-ZHI and ZHANG JING.RIGOROUS MODAL THEORY OF PHASE GRATING AND THE TOTAL REFLECTANCE PROPERTY[J].Acta Physica Sinica,1998,47(8):1278-1288. |
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| Authors: | FU KE-XIANG ZHANG DA-YUE WANG ZHI-HENG ZHANG QI-ZHI and ZHANG JING |
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| Abstract: | This paper discusses the electromagnetic field distribution in phase grating and the rate of diffraction for different diffraction orders by using a rigorous modal theory. Piece wise analytical function is used to express the eigen functions instead of the infinite series in other methods. Stable, fast and accurate recurrent formulae are developed to calculate the reflection transmission and amplitude coefficient matrix that can treat phase grating with any number of groove steps. The numerical results show that there exist bands of total reflectance. The conditions and the physical mechanisms for which the total reflectance occurs are discussed. |
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