In this paper I first address the question of whether the seat of the power radiated by an antenna made of conducting members is distributed over the ``arms'' of the antenna according to -J . E, where J is the specified current density and E is the electric field produced by that source. Poynting's theorem permits only a global identification of the total input power, usually from a localized generator, with the total power radiated to infinity, not a local correspondence of -J . E dv with some specific radiated power, r^2 S . n dO. I then describe a model antenna consisting of two perfectly conducting hemispheres of radius a separated by a small equatorial gap across which occurs the driving oscillatory electric field. The fields and surface current are determined by solution of the boundary value problem. In contrast to the first approach (not a boundary value problem), the tangential electric field vanishes on the metallic surface. There is no radial Poynting vector normal to the surface. Numerical examples are shown to illustrate how the energy flows from the input region of the gap and is guided near the antenna by its ``arms'' until it is launched at larger r/a into the radiation pattern determined by the value of ka.
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机译：在本文中，我首先解决的问题是，根据-J，由导电构件制成的天线辐射的功率的座是否是否分布在天线的``臂''上。 E，其中J是指定的电流密度，E是该电源产生的电场。 Poynting定理仅允许总输入功率的总体识别（通常来自本地化发电机），总功率辐射到无穷大，而不是-J的局部对应关系。 E dv具有一定的特定辐射功率r ^ 2 S。 n dO。然后，我将描述一个模型天线，该模型天线由两个半径为a的完美导电半球组成，并由一个小的赤道缝隙隔开，在赤道缝隙之间产生驱动振荡电场。场和表面电流由边界值问题的解决方案确定。与第一种方法（不是边界值问题）相比，切向电场在金属表面上消失了。没有垂直于表面的径向坡印廷矢量。数值示例显示了能量如何从间隙的输入区域流动并如何通过其``臂''在天线附近引导，直到以更大的r / a发射到由ka值确定的辐射方向图。
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