A
waveguide (202, 502, 600, 700) for a display (100) comprised of a combination of a flat surface (508, 608, 708) and a curved surface (510, 610, 710) using a plurality of input couplers (204, 504, 604, 704, 912) includes additional input couplers incorporated into the
waveguide spaced apart from each other at a precise angle (916, 1216), for example, that matches or corresponds to a
grating angle associated with the
waveguide (202, 502, 600, 700), this allows light (206, 605, 705, 908, 910) to be injected into the same
grating structure at multiple locations while still maintaining k-space closure and thus preventing undesired
refraction or
distortion. A region in the waveguide (202, 502, 600, 700) that immediately surrounds the input coupler (204, 504, 604, 704, 912) and the
output coupler (210, 506, 606, 706, 914) includes a flat surface (508, 608, 708), and a region between the input coupler (204, 504, 604, 704, 912) and the
output coupler (210, 506, 606, 706, 914) includes one or more curved surfaces (510, 610, 710).