Full polarimetric sum and difference patterns synthesis for conformal array

A convex optimisation-based full polarimetric sum and difference patterns synthesis method for a conformal array is proposed. The method adopts a manifold separation technique and a co-polarisation and cross-polarisation basis to model the conformal array response in a closed-form expression from array calibration measurements, and then formulates the full polarisation sum and difference patterns synthesis as convex optimisation problems. The method is applied to a simulated conformal spherical conformal array composed of 176 antenna elements; the low sidelobe and low cross-polarisation level sum and difference patterns are presented.