A projector includes a beam homogenizer receiving light from a light source and creating a predetermined illumination, and a spatial light modulator including grating stages to receive the predetermined illumination. Each grating stage may include a plurality of pixels where corresponding pixels in the grating stages are aligned with one another. Each of the pixels may include a liquid crystal layer disposed between two substrates, where a pixel is switchable by applying a voltage thereto, with a grating period of the pixel selected such that, when the voltage is applied to the pixel and light is passed therethrough, optical energy from the light in plus and minus first orders is deflected toward sides of the pixel and optical energy from a zero order of the light is allowed to pass through the pixel, with a polarization state of the light maintained through the pixel.