研究了大间距、可平移、随机错位子阵优化设计问题。首先,利用天线方向图乘积定理阐释了错位子阵波束形成原理;然后,对错位子阵优化问题进行建模并采用遗传算法进行求解。优化变量为子阵几何中心,代价函数由子阵栅瓣处超阵阵因子和阵列孔径效率综合得到,约束条件为所有子阵互不交叠;最后,对给定的正八边形阵列进行优化。研究结果表明:经“最优冶随机错位后,阵列方向图栅瓣降低14 dB 以上,可以满足工程应用,进而验证了随机错位优化方法的有效性。

This paper focuses on the optimization of translatable displaced subarrays with large element spacing. At first, the principle beamforming of displaced subarrays is explained by the antenna pattern multiplication theorem. Then the displaced subarrays optimization problem is modeled and solved by genetic algorithm. The optimization variable is the movement of the phase center of the subarrays along the x-axis and y-axis. The objected function is based on two facts. One is the array factor of super array at the grating lobes. The other is the aperture efficiency. The constraint is that the subarrays do not overlap. Finally, a given octagonal array is optimized. The research shows that after the optimization, the array pattern grating is reduced by more than 14 dB, which can meet the engineering application, and the effectiveness of the method is further verified.

TN82