This disclosure describes optical systems for projecting an irregular or complex pattern onto a region of space (e.g., a two-dimensional or three-dimensional object or scene). A respective light beam is emitted from each of a plurality of light sources. The emitted light beams collectively are diffracted in accordance with a plurality of different first grating parameters to produce a plurality of first diffracted light beams. The first diffracted light beams then collectively are diffracted in accordance with one or more second grating parameters.