Optical display device, in particular for use in a head-up display or a head-mounted display, having a) a substantially planar optical waveguide, b) an imaging system which generates light having a wavelength, c) a first diffraction grating (20, 20a, 20b), with which light coming from the imaging system is able to be coupled into the optical waveguide, and d) a second diffraction grating (24a, 24b), with which the light is able to be coupled out of the optical waveguide, characterized in that e) at least one of the two diffraction gratings (20, 20a, 20b, 24a, 24b) is a binary blazed grating having a multiplicity of diffraction structures, which - extend substantially parallel with respect to one another, and - have, perpendicular to their direction of extent, a width g, which is greater than the wavelength of the light coming from the imaging system, and which - are made up of a multiplicity of individual substructures, which bring about a blazing action and have, in the direction of extent of the diffraction structures, a maximum dimension p, which is, at least averaged over a diffraction structure, smaller than the wavelength of the light coming from the imaging system, wherein the diffraction structures comprise in each case one row of individual substructures along a direction of extent, which have, in top view, the form of a closed geometric area, the dimension of which, in the direction parallel to the direction of extent of the diffraction structures, varies in the direction perpendicular to the direction of extent of the diffraction structures and which has, in the direction perpendicular to the direction of extent of the diffraction structures, a maximum dimension which is greater than the wavelength of the light coming from the imaging system. a) a substantially planar optical waveguide, b) an imaging system which generates light having a wavelength, c) a first diffraction grating (20, 20a, 20b), with which light coming from the imaging system is able to be coupled into the optical waveguide, and d) a second diffraction grating (24a, 24b), with which the light is able to be coupled out of the optical waveguide, e) at least one of the two diffraction gratings (20, 20a, 20b, 24a, 24b) is a binary blazed grating having a multiplicity of diffraction structures, which - extend substantially parallel with respect to one another, and - have, perpendicular to their direction of extent, a width g, which is greater than the wavelength of the light coming from the imaging system, and which - are made up of a multiplicity of individual substructures, which bring about a blazing action and have, in the direction of extent of the diffraction structures, a maximum dimension p, which is, at least averaged over a diffraction structure, smaller than the wavelength of the light coming from the imaging system, - extend substantially parallel with respect to one another, and - have, perpendicular to their direction of extent, a width g, which is greater than the wavelength of the light coming from the imaging system, and which - are made up of a multiplicity of individual substructures, which bring about a blazing action and have, in the direction of extent of the diffraction structures, a maximum dimension p, which is, at least averaged over a diffraction structure, smaller than the wavelength of the light coming from the imaging system,