A method for constructing a multifunctional antenna structure configured to generate a plurality of radiation patterns includes determining a desired source field associated with the plurality of radiation patterns, and receiving feed locations for a waveguide to an antenna aperture surface. The method may further include placing a metasurface resonator at a first resonator location that exhibits a minimum error relative to the desired source field and satisfies a maximum error threshold relative to the desired source field. The metasurface resonator may be determined based on the feed locations and a plurality of degrees of freedom for the first resonator location. The method may also include discarding a second resonator location in response to determining that no metasurface resonator at the second resonator location satisfies the maximum error threshold. The plurality of degrees of freedom may include metasurface resonator geometries that exhibit different polarizabilities defined in a candidate library.