A theoretical scheme for studying the properties of localized, monochromatic, and highly directive classical current distributions in two and three dimensions is formulated and analyzed. For continuous current distributions, it is shown that maximizing the directivity D in the: far field while constraining C=N/T,where N is the integral of the square of the magnitude of the current density and T is proportional to the total radiated power, leads to a Fredholm integral equation of the second kind for the optimum current. This equation is a useful analytical tool for studying currents that produce optimum directivities above the directivity of a uniform distribution. Various consequences of the present formulation are examined analytically for essentially arbitrary geometries of the current-carrying region. In particular, certain properties of the optimum directivity are derived and differences between the continuous and discrete cases are pointed out. When C-->infinity, the directivity tends to infinity monotonically, in accord with Oseen's "Einstein needle radiation." [References: 56]
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机译：提出并分析了研究二维和局部局部，单色和高方向性经典电流分布特性的理论方案。对于连续的电流分布，表明在限制C = N / T的情况下，最大化远场中的方向性D，其中N是电流密度的平方的积分，而T与总辐射功率成正比，得出第二类弗雷德霍尔姆积分方程，以求出最佳电流。该方程式是一种有用的分析工具，可用于研究产生高于均匀分布方向性的最佳方向性的电流。对于载流区域的基本上任意的几何形状，本发明制剂的各种结果被分析地检查。特别是，得出了最佳方向性的某些属性，并指出了连续情况和离散情况之间的差异。当C->无穷大时，方向性趋向于单调无穷大，这与Oseen的“爱因斯坦针状辐射”相一致。 [参考：56]
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