An array can be synthesized by first optimizing a relevant continuous aperture (CA) and then transforming it to the array; this article presents a skeletonization-scheme-based method for such a transformation. First, the continuous aperture source (CAS) integral is analyzed and it is shown that the uniform discretization of the integral requires a large number of elements to match the CAS radiation pattern. Second, the CAS is discretized into a set of indexed discrete sources, and the CAS integral is represented by a matrix whose column indexes correspond to the discrete source indexes. Third, skeleton columns of the matrix are identified by the skeletonization scheme, and an array is constructed using the discrete sources whose indexes are the same as the skeleton column indexes. In order to match the CAS radiation pattern, values of the discrete sources are computed using a transformation matrix obtained during the skeletonization process. Finally, numerical experiments are conducted and the results show that arrays synthesized with the proposed method accurately reproduce the CAS radiation patterns. In comparison with the generalized Gaussian quadrature method, the proposed method not only needs fewer elements but also can be applied to electrically large apertures.

中文翻译：

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一种基于骨架化方案的多模式连续孔径向天线阵列转换方法

可以通过首先优化相关的连续孔径（CA）然后将其转换为阵列来合成阵列；本文介绍了一种用于这种转换的基于骨架化方案的方法。首先，对连续孔径源 (CAS) 积分进行了分析，结果表明积分的均匀离散化需要大量元素来匹配 CAS 辐射图。其次，将 CAS 离散化为一组带索引的离散源，并且 CAS 积分由一个矩阵表示，该矩阵的列索引对应于离散源索引。第三，通过骨架化方案识别矩阵的骨架列，并使用索引与骨架列索引相同的离散源构造数组。为了匹配CAS辐射图，使用在骨架化过程中获得的变换矩阵计算离散源的值。最后，进行了数值实验，结果表明，用所提出的方法合成的阵列准确地再现了 CAS 辐射图。与广义高斯正交法相比，所提出的方法不仅需要更少的元素，而且可以应用于电学大孔径。