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单条衍射:小掠射角和宽度极限下基尔霍夫理论与凯勒几何理论的比较

Single Strip Diffraction: Comparison Between Kirchhoff Theory and Keller's Geometrical Theory in the Limit of Small Glancing Angle and Width.

作者信息

Deacetis L A, Lazar I

出版信息

Appl Opt. 1970 Jul 1;9(7):1691-4. doi: 10.1364/AO.9.001691.

DOI:10.1364/AO.9.001691
PMID:20076443
Abstract

A comparison is made between the approximate theories of Kirchhoff and Keller, and the exact solution of Maxwell's equations for the case of Fraunhofer diffraction of electromagnetic radiation incident upon a long, thin conducting strip with the electric field vector polarized parallel to the strip axis. Strip widths from approximately 0.3lambda to 3lambda are considered with angles of incidence ranging from 4 degrees to 84 degrees . The predieted intensities are compared as a function of angle in the region on the same side of the strip as the incident radiation. It is found that in the limits of small glancing angle or small strip width, where both approximate theories are of questionable validity, Keller's geometrical theory more closely agrees with the exact solution.

摘要

对基尔霍夫和凯勒的近似理论与麦克斯韦方程组针对电场矢量平行于长细导电带轴偏振的电磁辐射夫琅禾费衍射情况的精确解进行了比较。考虑了宽度约为0.3λ至3λ的导电带,入射角范围为4度至84度。在与入射辐射同侧的区域内,将预测强度作为角度的函数进行比较。发现在小掠射角或小带宽度的极限情况下,两种近似理论的有效性都存在疑问,而凯勒的几何理论与精确解更为接近。

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