An Approach of Shaping Offset Dual Reflector Antennas by Controlling Location of Caustic for Local Dual Reflector System

Youngchel Kim, Teh-Hong Lee
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Abstract

This paper presents a shaping method for offset dual reflector antennas. The shaping method solves nonlinear equations to obtain an electrically small local dual reflector surface section. A shaped offset dual reflector antenna surface is created by combining them and the desired aperture distribution that is controlled by the location of caustic for each local dual reflector system. In shaping dual reflectors, the principles of geometrical optics (GO), such as conservation of power and Snell's law, have been widely used. In addition, geometrical properties of parabolic main reflector and either elliptic or hyperbolic subreflector surface are used to formulate the shaped surface equations
一种控制局部双反射器系统焦散位置整形偏置双反射器天线的方法
提出了一种偏置双反射面天线的整形方法。整形法求解非线性方程,得到电性小的局部双反射面截面。通过将它们与每个局部双反射系统的焦散位置控制的所需孔径分布相结合,形成了一个形状偏移的双反射面天线表面。在形成双反射镜时,几何光学原理(GO),如功率守恒和斯涅尔定律,被广泛应用。此外,利用抛物型主反射面和椭圆型或双曲型副反射面的几何性质,建立了形面方程
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