Integral Equation for Non-Directional Radiators

2018 XXIIIrd International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory (DIPED) Pub Date : 2018-09-01 DOI:10.1109/DIPED.2018.8543267

B. Levin

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Abstract

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.

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非定向散热器的积分方程

提出了一种分析细导线天线的方法。手臂由单独的直线和弯曲部分组成。分析采用了定向辐射体的莱昂托维奇积分方程[1]。分析方法是将天线沿不同坐标划分为若干个辐射体，并求解每个辐射体的方程。新散热器的点与原散热器在新轴上的投影重合，作为新散热器的主场与原天线在同一方向上的场重合的条件。作为一种非定向辐射体，首先考虑v型天线，其次考虑天线臂的圆弧形状。算例表明，电流的正弦近似不仅适用于定向线性辐射体，而且适用于任意形状的辐射体。提出了一种修正，使列昂托维奇方程的解更精细。

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2018 XXIIIrd International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory (DIPED)

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