An efficient multibeam pattern synthesis method for time modulated array (TMA) is proposed in this paper. The aim of this method is to generate a beam pattern on the specified sideband of TMA. The pattern synthesis problem is divided into two stages. In the first stage, the sequential convex optimization method is used to suppress the sidelobe of the center frequency and reduce the amplitude dynamic range ratios (DRR). In the second stage, the iterative convex optimization method is used to realize the multibeam pattern synthesis in the sideband. Owing to the introduction of convex optimization, the proposed method could be more efficient than approaches using a global optimization algorithm. The proposed method is capable of realizing pattern synthesis under different DRR constraints and different beam radiation directions. Numerical examples of two beams and four beams patterns of 1000-element time modulated linear array verify the effectiveness of the proposed method.

中文翻译：

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基于凸优化的时间调制阵列多光束方向图合成研究

提出了一种有效的时间调制阵列多波束图形合成方法。该方法的目的是在TMA的指定边带上生成波束方向图。模式合成问题分为两个阶段。在第一阶段，使用顺序凸优化方法来抑制中心频率的旁瓣并降低幅度动态范围比（DRR）。在第二阶段，使用迭代凸优化方法实现边带中的多光束图案合成。由于引入了凸优化，所提出的方法可能比使用全局优化算法的方法更有效。所提出的方法能够在不同的DRR约束和不同的射线辐射方向下实现模式合成。