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本文应用几何绕射理论(GTD),计算了圆锥底上一元和二元垂直单振子滚动面(赤道面)的辐射图。计算中考虑了一次和二次绕射。为了搜索所有可能的一次和二次边缘绕射点,根据费马原理,导出了两个超越方程组。由计算机程序完成的计算与实验进行了比较,取得了较为一致的结果。与以前计算得到的圆锥底上垂直单振子的俯仰面(子午面)辐射图一起,构成了圆锥底上垂直单振子的立体辐射图。本文的结果和分析方法,容易推广到金属圆盘上的天线及偏焦抛物面的辐射计算。
In this paper, the geometrical diffraction theory (GTD) is used to calculate the radiation pattern of the rolling plane (equatorial plane) of one-and two-element vertical dipoles on the cone. The calculations considered primary and secondary diffraction. In order to search all possible primary and secondary edge diffraction points, two transcendental equations were derived according to Fermat’s principle. Computation done by the computer program is compared with the experiment and achieved a more consistent result. Together with the previously calculated elevation plane (meridional) radiation pattern of a vertical dipole on the cone bottom, a three-dimensional radiation pattern of vertical dipoles on the cone bottom is formed. The results and analytical methods of this paper are easy to be extended to the calculation of the antenna and the defocused paraboloid radiation on a metal disc.