A compound metaoptic is presented. The compound metaoptic is comprised of at least two phase-discontinuous metasurfaces, which can convert an incident light beam to an aperture field with a desired magnitude, phase, and polarization profile. Each of the constitutive metasurfaces is designed to exhibit specific refractive properties, which vary along the metasurface. Furthermore, due to its transmission-based operation, the metaoptic can operate without lenses and be low profile: potentially having a thickness on the order of a few wavelengths or less. A systematic design procedure is also presented, which allows conversion between arbitrary complex-valued field distributions without reflection, absorption or active components. Such compound metaoptics may find applications where a specific complex field distribution is desired, including displaying holographic images and augmented or virtual reality systems.