A near-eye display comprised of a projector having an exit aperture through which is transmitted a plurality of rays including a first and second extreme ray defining opposite ends of an image angular field of view and the physical exit aperture, and a chief ray defining a midpoint of the image angular field view. The near-eye display further includes a light-guide optical element (LOE) having first and second parallel surfaces along a length thereof, and a reflector angled obliquely relative to the pair of parallel surfaces. The near eye display is arranged such that each of the plurality of rays follows a light path comprised of entering the LOE through the first parallel surface at a predetermined entry point, reflecting off the LOE's first parallel surface at a predetermined reflection point, and subsequently undergoing total internal reflection within the LOE, wherein the reflection point of the first extreme ray is located beyond the entry point of the second extreme ray.