Abstract: A rear-projection screen structure, and an associated method, for creating on the front, image-viewing side of a rear-projection screen structure an anti-speckled, rear-projected, laser-beam image. Methodologically, and as implemented by the structure of the invention, the invention steps include projecting a source laser-image beam toward the rear side of such a screen structure, and while so projecting, introducing relative-motion optical diffusion in the laser beam path which exists between the source laser-image beam and the screen-structure's image-viewing side.