Conformal arrays may be a viable solution in many antenna applications requiring a wide angular coverage with sufficiently high directivity values, so it is worth comparing different 2D conformal array geometries to satisfy these requirements. To this end, first, the singular value decomposition (SVD) of the radiation operator is exploited to determine the maximum directivity values an array can reach in the whole observation domain. A numerical study based on the maximum directivity and, hence, on the SVD is then proposed to select the array geometry complying with some given requirements. Therefore, the performances achievable by some array geometries (a semi-circumference, a trapezoidal, and an angle array) are analyzed, and the one assuring a better hemispherical coverage is suggested. Furthermore, such an SVD-based study is usefully exploited to determine which panels of a multi-faceted array must be fed to reach some assigned specifications.

中文翻译：

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半球形覆盖的共形阵列几何

保形阵列在许多要求宽角度覆盖且方向性值足够高的天线应用中可能是可行的解决方案，因此值得比较不同的2D保形阵列几何形状以满足这些要求。为此，首先，利用辐射算子的奇异值分解（SVD）来确定阵列在整个观察域中可以达到的最大方向性值。然后提出了基于最大方向性以及因此基于SVD的数值研究，以选择符合某些给定要求的阵列几何形状。因此，分析了某些阵列几何形状（半圆周，梯形和角度阵列）可实现的性能，并提出了一种确保更好的半球形覆盖率的性能。此外，