An iterative convex optimization (ICO) algorithm is proposed to solve pattern synthesis problem under the framework of dual-polarized conformal arrays in this paper. The subproblems of shaping main lobe, optimizing side lobe, and suppressing cross-polarization component are summarized as a joint optimization problem. To solve this problem, the nonconvex constraint about main lobe is rewritten as a convex constraint, which will bring error. And an auxiliary phase function is introduced to correct this error alternatively. Due to the deviation between auxiliary phase and real phase of pattern function, a method minimizing the peak of the synthesis error over observation angles is effectively applied to further improve the performance of the method. Numerical examples show good pattern synthesis ability and convergence performance of the ICO method.

中文翻译：

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通过迭代凸优化实现双极化共形阵列的模式合成

针对双极化共形阵列框架下的模式合成问题，提出了一种迭代凸优化算法。将主瓣成形，优化旁瓣和抑制交叉极化分量的子问题归纳为联合优化问题。为了解决这个问题，将关于主瓣的非凸约束改写为凸约束，这会带来误差。并引入了辅助相位功能来替代纠正此错误。由于图案函数的辅助相位与实相位之间存在偏差，有效地应用了使观察角度上的合成误差的峰值最小化的方法，以进一步改善该方法的性能。数值算例表明，该方法具有良好的模式合成能力和收敛性能。