An improvement to the line-of-sight (LoS) approximation of the equivalence principle used in far-field computations is presented. In the original LoS approximation of the equivalence principle, the integral equation uses only the surface currents on the LoS surface, as well as the edge currents on the contour of the LoS surface, which is the replacement of the surface integrals over the shadow part of the surface. Here, we show that the integration over one type of surface current on the LoS surface and edge currents is sufficient, which reduces the resources required for the LoS radiation pattern computations by half. The proposed theory is a rigorous analysis of Love’s Equivalence theory with an introduction of the point-of-symmetry concept. The proposed method makes use of the vector-potential field representation to derive the improved LoS equivalence principle. The proposed approach is validated with the calculation of the far-field radiation pattern of a patch antenna using the Finite Difference Time Domain (FDTD) simulations.

中文翻译：

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减少视线等效原理

提出了对远场计算中使用的等效原理的视线（LoS）近似的改进。在等价原理的原始LoS近似中，积分方程仅使用LoS表面上的表面电流以及LoS表面轮廓上的边沿电流，这是对Ls阴影部分上的表面积分的替换。表面。在这里，我们表明，在LoS表面上的一种类型的表面电流和边缘电流上的积分是足够的，这将LoS辐射方向图计算所需的资源减少了一半。所提出的理论是洛夫对等理论的严格分析，并引入了对称点概念。所提出的方法利用矢量势场表示来推导改进的视距等效原理。通过使用有限差分时域（FDTD）模拟计算的贴片天线远场辐射方向图，验证了所提出的方法。