Correlation of speckle patterns generated by laser point source — Illuminated diffusers

In this paper it is shown that, when a ground-glass transilluminated by a diverging or converging beam is axially translated, there exists a particular plane in which the corresponding speckle pattern remains correlated. Consequently, under some experimental conditions on this incident beam and the geometry of the optical setup, a speckle pattern generated by a set of two parallel ground-glasses suffers no decorrelation when one of them is axially or laterally translated.