New antenna designs for realizing circularly-polarized antennas with a wide scanning range are disclosed. The designs h are based on arranging four sequentially fed antenna patches to be considered as a single antenna element, referred to as a “super-element,” in the overall phased array. An example super-element includes relatively short transmission lines to provide excitations for the vertically and horizontally polarized fields, with the transmission lines for the vertically and horizontally polarized fields being perpendicular to one other. A parasitic transmission line may be placed around a part of each antenna patch of the super-element to serve as a coupler to further enforce the field vector direction for keeping the circular polarization. With such designs, an axial ratio below 3.6 dB for scanning angles of at least 75 degrees at 39.5 GHz may be achieved.