Abstract
Complete and quantitatively accurate solutions of the properties of electrically short transmitting and receiving antennas (of length 2h such that 2πh/λ0≦1) are obtained by determining the distributions of current that actually satisfy the integral equations. Components of current in phase and in phase-quadrature with the driving voltage or the incident electric field are evaluated together with the impedance, the effective length, and the gain. It is shown that when the King-Middleton method of solving Hallén's integral equation by iteration is applied correctly, quite accurate results are obtained even in a first-order solution. The greatest error in the first-order formulas is shown to be in the resistance, a small quantity of higher order compared with the reactance. The newly determined values are combined with the King-Middleton second-order results to obtain more complete and more accurate impedances and effective lengths in the range of 0≦2πh/λ≦1.4.

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