Spatial Periodicities in Partially Coherent Fields

Abstract
If the mutual intensity of partially coherent illumination is periodic in the lateral direction then it is also periodic in the longitudinal direction. This statement is proved for quasi-monochromatic light and for a cosine periodicity. Next an experimental set-up for the production of periodic mutual intensities is proposed. Finally, the theoretical result is generalized to other than cosine-shaped periodicities.

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