The properties of speckle produced near the focal plane of a lens with a linearly translating diffuser in the pupil are investigated. Expressions for the space–time amplitude and intensity correlations are derived in the Gaussian-field limit. The intensity correlations obtained are not cross-spectrally pure but rather imply some degree of speckle translation in directions both parallel and antiparallel to the diffuser velocity. Lens aberrations are found to have a significant effect on the intensity correlations, and theoretical results are presented for defocus and some of the primary aberrations. Experimental measurements with a two-detector instrument and photon-correlation equipment are found to be in good agreement with the theory.
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K. A. O’Donnell (1982) studied this question.
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