A new analytical formulation is presented in this paper to obtain the phase correction function for planar transmitarrays, to produce a prescribed amplitude template. This phaseonly design enables using high transmission unit cells to favor maximum gain. Here, a transmit-array transforms the known power radiation pattern of the primary source into a desired output power pattern. As a proof of concept, two different output power radiation patterns are presented, namely, a sec2 with a roll-off at 45º and a flat-top with 20º of roll-off, at the 30 GHz Ka-band. The transmit-array aperture is 180 mm × 180 mm, with 60 mm focal length. It is illuminated by a 10.8 dBi feed radiation pattern, with circular polarization

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