“…This paradigm has been applied successfully to the design of single-element optical systems composed of a single diffractive optical element (DOE) or metasurface [23,12,10,1,7,29,15]. It has also been applied to the design of hybrid systems composed of an idealized thin lens combined with a DOE as an encoding element [3,25,27,18,11,22,20]. In the latter setting, the thin lens is used as an approximate representation of a pre-existing compound lens, while the DOE is designed encode additional information for specific imaging tasks such as high dynamic range imaging [25], hyperspectral imaging [12,10,1], sensor superresolution [23,27], extended depth of field [26], or cloaking of occluders [22].…”