Joint Optimization of Domino Subarray Tiling and Generalized Directivity Based on Iterative Convex Relaxation

A novel iterative convex optimization algorithm for joint optimization is proposed in this letter. To address the tiling problem of an irregular subarray phased planar array composed of modular tiles, the exact tiling and scanning radiation performance of the array are modeled as a joint-constrained optimization problem. The generalized directivity coefficient is introduced to link the performance index with the structure, enabling joint optimization. Through multiple iterations, the proposed method achieves not only the optimization of the array structure and directivity but also the constraint of the sidelobe level. This results in achieving optimal radiation performance indicators at any specified scanning angle for the array. The superiority and potential of the proposed method are verified by the comparison with existing methods via various numerical examples.