Integral Equation for Non-Directional Radiators

The method for analyzing antennas consisting of thin wires is proposed. The arms consist of separate straight and curved sections. The analysis uses the Leontovich's integral equation for the directional radiator [1]. The method of analysis is based on dividing the antenna into several radiators located along different coordinates, and on solving the equation for each radiator. The coincidence of the points of new radiators with the projections of the original radiator on the new axis serves as a condition for the coincidence of the main fields of the new radiators with the field of the initial antenna in the same directions. As a non-directional radiator, firstly, a V-antenna is considered, and secondly, an antenna's arm has the shape of an arc of a circle. The examples show that the sinusoidal approximation for the current is valid not only for a directional linear radiator, but also for radiators of arbitrary shape. A correction is proposed that refines the solution of the Leontovich's equation.