This paper presents the study on aperiodic limited scan array (LSA) consisting of sub-arrays. Both numerical simulation and genetic algorithm are employed to achieve the optimal configuration of aperiodic arrays. In multi-beam scenarios, the effect of sub-array size on the patterns of adjoint beams has been investigated by analyzing the performance of sub-arrays consisting of 4×4 and 2×2 elements respectively. It is revealed that a large sub-array size will result in unexpected deterioration of the side-lobe level. In view of this issue, a smaller sub-array size is preferred to its counterparts. Furthermore, an octagonal aperiodic array is proposed, and it is demonstrated that this array can be well applied in phased arrays with limited field of view.