Uniform asymptotic solution for electromagnetic reflection and diffraction of an arbitrary Gaussian beam by a smooth surface with an edge
Uniform asymptotic solution for electromagnetic reflection and diffraction of an arbitrary Gaussian beam by a smooth surface with an edge
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DOI：
10.1029/97rs00713
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发表时间：
1997-07
期刊：
影响因子：
1.6
通讯作者：
H. Chou;P. Pathak
中科院分区：
文献类型：
--
作者：
H. Chou;P. Pathak
得到了一个封闭的解，以一种物理上吸引人的方式来描述入射到任意光滑的、电大的、缓慢变化的弯曲的、完全导电的屏（或反射器）上的一般像散高斯光束的反射和衍射。这个封闭形式的解是通过对从反射器散射的场的辐射积分的渐近计算得到的，在物理光学近似范围内，对目前的情况仍然有效。这里发展的分析特别适合于电大型反射器天线的快速分析，通过从馈电平面发射的一组相对较小的高斯光束来表示馈电照明。每一束高斯光束发射后在反射器处进行反射和衍射；本文提出了反射场和衍射场的表达式，Chou[1996]利用它在几秒钟内计算出大型反射面天线的辐射方向图，而传统的数值物理光学积分法在同一台计算机上需要数小时。
A closed form solution is obtained to describe, in a physically appealing manner, the reflection and diffraction of a general astigmatic Gaussian beam which is incident on an arbitrary smooth, electrically large, slowly varying curved, perfectly conducting screen (or reflector). This closed form solution is obtained via an asymptotic evaluation of the radiation integral for the fields scattered from the reflector, to within the physical optics approximation that remains valid for the present situation. The analysis developed here is particularly well suited for the fast analysis of electrically large reflector antennas by representing the feed illumination by a relatively small set of Gaussian beams launched from the feed plane. Each of these Gaussian beams after being launched undergoes reflection and diffraction at the reflector; the expressions for the reflected and diffracted fields are developed in this paper and utilized by Chou [1996] to compute the radiation pattern of large reflector antennas in a matter of a few seconds as compared to the conventional numerical physical optics integral method which takes hours on the same computer.