空间扫描柱面轴向偶极子阵的低副瓣控制

Low Sidelobe Control of the Space-Scanned Axial Dipole Arrays on Cylindrical Surfaces

本文利用约束非线性最优化方法，研究空间扫描柱面轴向偶极子阵的低副瓣综合问题．利用阵列的单元可实现增益方向图的信息，文中提出了一种当扫描角给定时求全空间最大副瓣电平的近似方法．在此基础上，把扫描角给定时的空间扫描阵列低副瓣综合表示为一约束非线性规划，采用我们提出的新直接方法求解，即可求出一组使阵列的总方向图满足扫描角给定时的低副瓣指标，且具有最高的方向性系数的激励系数．如果阵列的扫描方向图不能满足预先给定的低副瓣指标，则可求出一组使扫描角给定时阵列的方向图在可达到低副瓣指标上，具有最高的方向性系数的激励系数，文中还给出了一些空间扫描方向图低副瓣控制的模拟计算结果．

The application of the nonlinearly constrained optimization method to low sidelobe synthesis of the space-scanned axial dipole arrays on cylindrical surfaces is discussed inthis paper.By adopting the information of the array element realized gain patterns, we propose an approximation method for finding the maximal sidelobe level of the scanned pattern with the prespecified beam pointing, and formulate the synthesis problem of the scanned arrays with the specified scan angle as nonlinearly constrained optimization problems. By using the new direct method, we can find a set of array coefficients that yield a scanned pattern, with the specified scan angle, meeting the specified sidelobe level and maximizing the directivity, if such a set of array coefficients exists.When the sidelobe specification can not be met, we can find a set of array coefficients that yield a scanned pattern meeting the best attainable sidelobe level and maximizing the directivity. Also,some numerical results for the low sidelobe control of the space-scanned axial dipole arrays on cylindrical surfaces are given.