GTD, UTD, UAT and STD: A Historical Revisit

Y. Rahmat-Samii
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引用次数: 4

Abstract

In his landmark paper dated February 1962, Prof. Keller introduced the notion of Keller's cone and stated, “Geometrical optics, the oldest and most widely used theory of light propagation, fails to account for certain optical phenomena called diffraction...”. I had a personal encounter with Keller's cone at a hotel in Florida! In an early morning on October 14, 2007, I witnessed Keller's cone on the door of my hotel room resulting from edge diffraction from a TV stand due to the sun rays coming through an opening of a window curtain. By now we know how to construct the local plane wave behavior of the diffracted field along the diffracted rays by invoking the fact that an edge forms one of the caustics of the diffracted wave front. We also know that the diffracted field is of the order of k-1/2 in comparison to the geometrical optics field which is of the order of k0. In many antenna and scattering problems this added diffracted term enhances the accuracy of the total field immensely. Due to the boundary layer properties of the diffracted ray field, along the incident and shadow boundaries and also caustics the original form of Keller's construction fails. This shortcoming has been overcome through construction of the Uniform Theory of Diffraction (UTD by Kouyoujian and Pathak), Uniform Asymptotic Theory (UAT by Ahluwalia, Beorsma, Lewis, Lee and Deschamps) and the Spectral Theory of Diffraction (STD by Rahmat-Samii and Mittra). An overview and salient features of these theories are revisited in a novel and unified manner.
GTD, UTD, UAT和STD:历史回顾
凯勒教授在1962年2月发表的具有里程碑意义的论文中介绍了凯勒锥的概念,并指出:“几何光学,最古老和最广泛使用的光传播理论,不能解释某些称为衍射的光学现象……”我在佛罗里达的一家酒店里亲眼见到了凯勒的蛋筒!2007年10月14日的一个清晨,我在酒店房间的门上看到了凯勒锥,这是由于电视架的边缘衍射造成的,这是由于阳光从窗帘的开口进来造成的。到目前为止,我们已经知道如何利用绕射波前的散散量的一个边来构造绕射场沿绕射射线的局部平面波特性。我们还知道衍射场的阶数是k-1/2相对于几何光学场的阶数是k。在许多天线和散射问题中,这个附加的衍射项极大地提高了总场的精度。由于衍射射线场的边界层性质,沿入射和阴影边界以及焦散,原始形式的Keller构造失效。这一缺点已经通过建立一致衍射理论(由Kouyoujian和Pathak提出)、一致渐近理论(由Ahluwalia、Beorsma、Lewis、Lee和Deschamps提出)和衍射谱理论(由Rahmat-Samii和Mittra提出)来克服。以一种新颖统一的方式对这些理论的概述和突出特点进行了重新审视。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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