In this letter, we present a novel time-domain analytic formula for the elementary radiator antenna pattern of a metal plane surface with infinite conductivity. The formula is presented as a function of time and the integration angle. The formula refers to a flat metal aperture without regard to its shape. We also describe a novel equation for the primitive impulse response function (PIRF) of a circular aperture in the form of an elliptic integral of the second kind. We explain that this equation refers to a flat aperture of any shape. We also show that these results are in good agreement with the numerical simulation by a finite integration technique.

中文翻译：

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时域天线方向图和平面孔径线极化场原脉冲响应函数的公式

在这封信中，我们为具有无限电导率的金属平面表面的基本辐射器天线方向图提出了一个新的时域解析公式。该公式表示为时间和积分角的函数。该公式指的是扁平金属孔径，而不考虑其形状。我们还以第二类椭圆积分的形式描述了圆形孔径的原始脉冲响应函数 (PIRF) 的新方程。我们解释说，这个方程指的是任何形状的平面孔径。我们还表明，这些结果与有限积分技术的数值模拟非常吻合。