A sparse concentric ring array method based on 0-1 programming is proposed. Differential evolution algorithm is applied in the 0-1 programming. By obtaining multiple planes in the main lobe of the concentric ring array and assuming the side-lobe level

the beam width of the selected plane pattern and the element number of the array as the goal for optimization to reduce the cost of the concentric ring phased array. In order to validate the proposed method

a 9-ring and a 10-ring concentric circular array are calculated. The calculated results show that the element number of the 9-ring concentric ring array is reduced from 279 to 161

the side-lobe level is reduced from-17.4 dB to-20.8 dB

and the half power beam width increases by 0.22°. The element number of the 10-ring concentric ring array is reduced from 341 to 190

the side-lobe level is reduced from-17.4 dB to-23.9 dB

and the half power beam width increases by 0.79°.