Semidefinite relaxation-based optimization of Yagi-Uda array antennas

The semidefinite relaxation-based optimization framework developed for finding the physical limits on the performance of WPT systems is adopted for optimization of antenna array gain in the far-field. The technique is adapted to account for typical antenna design requirements by adding power constraints for impedance matching considerations. Simulation examples and comparisons to global optimization verify the applicability, versatility and reliability of this powerful and general method in the context of Yagi-Uda array antennas.