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Progress in understanding the basic properties of cylindrical antennas and arrays is reviewed from the time of Hertz to the present. The infinitesimal doublet, antennas with assumed sinusoidal currents, boundary-value solutions and recently developed approximations for isolated antennas, circular, curtain, and Yagi arrays are discussed and illustrated. It is concluded that useful quantitative methods for treating cylindrical antennas of finite cross section and arrays of such antennas are now available. These take account of actual distributions of current and the effects of mutual coupling on them, the driving-point admittances, and the field patterns.