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本文运用边界波理论对菲涅耳直边衍射问题进行了研究。 分别对E偏振和H 偏振情况下相应的场分布用边界波理论进行了理论分析和计算,并将它们与严格的电磁理论作了比较。结果表明,边界波处理方法中的基尔霍夫和 瑞利-索末菲理论,分别与直边衍射的严格电磁理论解中的电场分布和磁 场分布符合较好。前两者在远场时一致, 而在近场衍射存在差别。同时也 表明,边界波处理方法具有物理图像 清晰,计算简洁的特点。

The theoretical analysis of the diffraction of Fresnel straight-edge is presented in this paper by the boundary wave approach. The field distributions given by Kirchhoff theory and Rayleigh-Sommerfield theory are studied respectively, and further comparisons with the exact electromagnetic theory are also given. The results show that excellent agreements between them are achieved and the boundary wave approach has the characters of vividly physical view and directly calculation.

参考文献

[1] M.波恩, E.沃耳夫著, 黄乐天, 陈熙谋, 陈秉乾译校. 光学原理(下册),北京: 科学出版社, 1981. 736-785
[2] Miyamoto K, Wolf E. Generalization of the Maggi-Rubinowicz theory of the boundary diffraction wave. J. Opt. Soc. Am., 1962, 52(6):615-637
[3] Xie Jianping, Qiu Yanhui, Ming Hai et al. J. Appl. Phys., 1991, 69(10): 6899
[4] Marchard E W, Wolf E. Consistent formulation of Kirchoff'sdiffraction theory. J. Opt. Soc. Am., 1966, 56(12): 1712-1719
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