An optical system includes a light-guide optical element (LOE) (10) having mutually-parallel first and second major external surfaces (11, 12) for guiding light by internal reflection, and a projector (100) that projects illumination corresponding to a collimated image from an aperture (101). The projector injects light in to the LOE via a coupling prism (30) attached to the first major external surface (11) that projects an image injection surface. A reflective polarizing beam splitter (51) is deployed at an interface between the major external surface (11) and the coupling prism (30) parallel to the major external surfaces, to selectively transmit illumination from the coupling prism into the LOE while trapping light already within the LOE so as to propagate within the LOE by internal reflection.