Laser speckle has received extensive studies in its basic properties and wide applications. In the majority of research onspeckle phenomena, these random optical fields have been treated as scalar optical fields, and the main interest has beenin the statistical properties together with applications of the intensity distribution of the speckle patterns. In recent years,increasing attention has been paid to the statistical properties of random electric vector fields referred to as polarizationspeckle with spatially varying polarization state. Statistical phenomena of random electric vector fields with their closerelevance to the theories of speckles, polarization and coherence theory have come to attract emerging interest due to theirimportance in a variety of areas for practical applications such as biomedical optics, remote sensing, astronomicalobservation and optical metrology.In this paper, we investigate the dynamic polarization speckle generated by a moving rough-surfaced retardation plate andpresent an exact analytical expression for the space-time lagged correlation for the stochastic fields within the frameworkof ABCD matrix theory (Canonical Transforms). General expressions are derived for the spot size, the mean polarizationspeckle size, the temporal coherence length, and the peak shift of the temporal correlation. Some interesting phenomenaassociated with dynamic polarization speckle have been predicted including polarization speckle boiling and polarizationspeckle translation. A general description of these phenomena has been given for arbitrary complex-valued ABCD opticalsystems.
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