A time-multiplexed backlight comprising: a light guide configured to guide a beam of light as a guided light beam; a time-multiplexed light source configured to provide to the light guide the light beam at a first non-zero propagation angle during a first time interval and at a second non-zero propagation angle during a second time interval, wherein the first non-zero propagation angle and the second non-zero propagation angle are different from one another, and each of the first and second non-zero propagation angle being an angle relative to a surface of the light guide which is greater than zero and less than a critical angle of total internal reflection within the light guide; and further comprising: an array of multibeam diffraction gratings spaced apart from one another in the direction of propagation of the light beam, wherein each multibeam grating of the array is a multibeam diffraction grating configured to diffractively couple out of the light guide a portion of the guided light beam as a plurality of coupled-out light beams, coupled-out light beams of the coupled-out light beam plurality having different principal angular directions from one another, wherein the multibeam diffraction grating is configured to diffractively coupled out a first plurality of coupled-out light beams having a first set of different principal angular directions in the first time interval and a second plurality of coupled-out light beams having a second set (102") of different principal angular directions in the second time interval, the first set and the second set being different and corresponding to respective ones of the first non-zero propagation angle and the second non-zero propagation angle of the guided light beam. a light guide configured to guide a beam of light as a guided light beam; a time-multiplexed light source configured to provide to the light guide the light beam at a first non-zero propagation angle during a first time interval and at a second non-zero propagation angle during a second time interval, wherein the first non-zero propagation angle and the second non-zero propagation angle are different from one another, and each of the first and second non-zero propagation angle being an angle relative to a surface of the light guide which is greater than zero and less than a critical angle of total internal reflection within the light guide; and further comprising: an array of multibeam diffraction gratings spaced apart from one another in the direction of propagation of the light beam, wherein each multibeam grating of the array is a multibeam diffraction grating configured to diffractively couple out of the light guide a portion of the guided light beam as a plurality of coupled-out light beams, coupled-out light beams of the coupled-out light beam plurality having different principal angular directions from one another, wherein the multibeam diffraction grating is configured to diffractively coupled out a first plurality of coupled-out light beams having a first set of different principal angular directions in the first time interval and a second plurality of coupled-out light beams having a second set (102") of different principal angular directions in the second time interval, the first set and the second set being different and corresponding to respective ones of the first non-zero propagation angle and the second non-zero propagation angle of the guided light beam. an array of multibeam diffraction gratings spaced apart from one another in the direction of propagation of the light beam, wherein each multibeam grating of the array is a multibeam diffraction grating configured to diffractively couple out of the light guide a portion of the guided light beam as a plurality of coupled-out light beams, coupled-out light beams of the coupled-out light beam plurality having different principal angular directions from one another, wherein the multibeam diffraction grating is configured to diffractively coupled out a first plurality of coupled-out light beams having a first set of different principal angular directions in the first time interval and a second plurality of coupled-out light beams having a second set (102") of different principal angular directions in the second time interval, the first set and the second set being different and corresponding to respective ones of the first non-zero propagation angle and the second non-zero propagation angle of the guided light beam.