New results are presented which confirm the feasibility of detecting hidden diffracting structures by measuring the correlation of the far-zone scattered field. In particular, diffraction gratings were masked by random phase diffusers bonded to their surfaces, which precluded exploiting the usual temporal fluctuations which arise whenever the diffractor and diffuser are in relative motion. Instead, it was necessary to scan the quasistationary, broadly distributed speckle patterns spatially. Good agreement between the propagation theory for first-order field statistics and the experimental results was obtained with regard to the dependence on the geometric scanning parameters. Moreover, the dependence of the measured correlations on grating period and diffuser correlation length showed satisfactory agreement with the theory and allowed inferences to be made about nature of the diffuser statistics.