Novel apparatuses for readout of multiplexed volume holographic optical elements, based on parallel incoherent/coherent double angularly multiplexed holographic recording and readout principles, provide for hologram readout with high optical throughput efficiency and minimal crosstalk. Such holographic element readout apparatuses have applications in photonic interconnections for neural networks, telecommunications switching and digital computing; optical information processors and optical memories; and optical display systems. Embodiments are included that allow incoherent superposition of reconstructed images and simplified parallel readout of the volume holographic optical elements. The apparatuses can read out holographic elements that are either optically or computer generated and that are based on continuous-volume or stratified-volume holographic media.