Holographic optical elements or systems of holographic elements may replace glass optical imaging systems or may be used for the correction of glass optics. The main advantages of such systems are their low weight, small and compact construction, and their simple and inexpensive manufacture. The disadvantages to be overcome are mainly the low light through-put and chromatic aberrations. In the special case of optics for video discs we present an optical imaging system which is capable of giving the required high resolution for illumination with polychromatic radiation of limited bandwidth in the case of semiconductor laser diodes. Optimization programs based on ray tracing yield highly corrected imaging systems by comparably simple holographic means. The use of only two surfaces gives very compact and lightweight systems, the image quality of which is described for monochromatic and polychro-matic irradiance by means of optical transfer functions. The holograms are recorded on photo-resist material with short wavelength laser radiation. Such holograms have almost no scatter light and do not alter their properties with time or under radiation. These holograms generate wavefronts for the correction of aberrations which, in the case of glass optics, could only be achieved by aspherical surfaces.