An efficient method is presented to take into account the radiation pattern deformation due to the presence of a finite ground plane lying under an antenna array and above a layered dielectric medium. The interactions between the antennas and the ground plane are computed using two main algorithms: on one hand, the near-field interactions are carried out using inhomogeneous plane waves, and on the other hand, a new formulation based on an analytical Hankel transform is derived to handle the intermediate-field interactions. This formulation expresses the electric field as a finite series of Hankel functions and associated Anger–Weber functions. The method is validated here for the second version of the square kilometer array (SKA) log-periodic Antenna (SKALA2) and then applied to an SKA low-frequency station (SKA1-LOW).

中文翻译：

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有限地平面上大型不规则阵列的有效仿真

提出了一种有效的方法来考虑由于存在位于天线阵列下方和分层电介质上方的有限接地平面而导致的辐射方向图变形。天线和地平面之间的相互作用使用两种主要算法计算：一方面，近场相互作用使用非均匀平面波进行，另一方面，推导出基于解析汉克尔变换的新公式处理中间场相互作用。该公式将电场表示为 Hankel 函数和关联的 Anger-Weber 函数的有限序列。该方法在此针对平方公里阵列 (SKA) 对数周期天线 (SKALA2) 的第二个版本进行验证，然后应用于 SKA 低频站 (SKA1-LOW)。