A projection system comprising a display device, a hologram engine and a waveguide. The display device is arranged to display a hologram of an image and spatially modulate light in accordance with the hologram to form a holographic wavefront. The hologram engine is arranged to calculate the hologram. The hologram is arranged to angularly distribute light within the holographic wavefront in accordance with spatial position within the image such that continuous angular ranges of the holographic wavefront respectively correspond with continuous regions of the image. The waveguide comprising a pair of parallel reflective surfaces arranged to waveguide the holographic wavefront therebetween. A first surface of the pair of parallel reflective surfaces is partially reflective-transmissive so as to form an output comprising a plurality of emission zones for the holographic wavefront. The hologram engine is arranged to modify the hologram to at least partially compensate for a decrease in intensity of the emission from each successive emission zone of the waveguide caused by the partial reflection-transmissions at the first surface during waveguiding.