Microlens arrays include a substrate, an array of microlenses on a first side of the substrate and an aperture mask on a second side of the substrate. The aperture mask includes an array of apertures at optical axes of the lenses. A second array of apertures may be included in the aperture mask at randomized positions therein. The randomized apertures may be provided in the aperture mask by providing a diffusive layer between the aperture mask and the substrate, and directing coherent radiation through the lens array, the diffusive layer and aperture mask.