Incident optical signals propagate within a diffuser substrate and impinge upon an optical diffuser within the diffuser substrate or on its output surface. The optical diffuser redirects or transforms respective portions of each incident signal into corresponding forward- and backward-directed optical signals. The backward-directed signals are redirected or transformed into additional incident signals, and so on. The forward-directed optical signals collectively form the optical output of an illumination source that exhibits reduced speckle. The illumination source can include multiple laser sources formed on or attached to an input surface of the diffuser substrate.