Array Antenna Synthesis With Cross-Polarization Suppression Via Convex Optimization

The paper focuses on the problem of suppressing the cross-polarization level (XPL) when simultaneously receiving orthogonal polarization signal from different directions with a wide-beam common aperture array antenna. The polarizations are the the right-hand circular polarization (RHCP) and the lefthand circular polarization (LHCP). The paper firstly sets up a non convex optimization problem and then converts it into a series of convex problems. An iterative algorithm is designed to solve the new convex problems, in which two tuning parameters are utilized to guarantee the convergence. With the proposed scheme, the XPL in the LHCP (RHCP) signal direction for the RHCP (LHCP) receiving could be suppressed to the desired level. In addition, the designed scheme can be easily extended to optimize the mainlobe ripple level (MRL) and the sizelobe level (SLL) with a simply derivation.