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A method is presented for calculating the radiation patterns and gain of antennas having asymmetrical phase and amplitude distributions. This method, which determines the radiation pattern from the actual distribution across the aperture, makes use of automatic punch card machines to perform a numerical integration. The patterns obtained for several distributions are discussed for amplitude and phase asymmetry considered both separately and in combination. Results are given for typical distributions obtained with asymmetrical parabolic cylinders. Applications to scanning antenna analysis and the determination of the phase of the radiated pattern are presented.