Consider an electrical dipole and a magnetic loop—co-centered and axially aligned. This compact pair of line antennas is centro-symmetric and polarization-sensitive but suffers no mutual coupling. Their “spatial matched filter” beam-steering bias will be analytically derived here for the first time in the open literature. The key findings include the following: 1) The elevation-azimuthal directional beam-pattern is multiplicatively separable from the polarizational beam-pattern. 2) No pointing bias exists in polarization (i.e., the nominal “look polarization” always gives the actual peak polarization). 3) No polarizational sidelobe exists. 4) The actual peak polar direction is always normal to the “co-centered orthogonal loop and dipole” array axis regardless of the nominal polar “look direction.”

中文翻译：

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“同心正交环路/偶极子”(COLD) 阵列的“空间匹配滤波器”光束控制

考虑一个电偶极子和一个磁环——同心且轴向对齐。这对紧凑的线天线是中心对称和极化敏感的，但没有互耦合。他们的“空间匹配滤波器”光束控制偏差将在公开文献中首次通过分析得出。主要发现包括以下内容：1) 仰角-方位定向波束模式与偏振波束模式可乘法分离。2) 极化中不存在指向偏差（即标称“观察极化”始终给出实际峰值极化）。3) 不存在极化旁瓣。4) 实际峰值极方向始终垂直于“同心正交环和偶极子”阵列轴，而不管标称极“方向”如何。