A compact optical memory is disclosed in which data are stored in an optical data layer capable of selectively altering light such as by changeable transmissivity, reflectivity, polarization, and/or phase. The data are illuminated by controllable light sources and an array of multi-surface diffractive imaging lenslets cause a data image to be projected onto an array of light sensors by multiple reflections of, hence folding the image rays, by surfaces that both reflect and optically modify the light rays to redirect them onto the sensor array. Data are organized into an annular array of patches (called pages). By selective illumination of each data page, one of the lenslets images the selected data page onto a central image plane where the sensor array is located. Light in the data image pattern strikes different ones of the arrayed light sensors, thereby outputting information in the form of electrical data signals.