Abstract
We study the effects of spatial unitary transformations on the complex degree of coherence and the visibility of intensity fringes in Young’s double pinhole interference setup with scalar light. We demonstrate that the degree of coherence and the visibility, in general, change in such transformations and may become zero for the output fields even when the input beams are correlated. Moreover, we explore the influence of unitary two-beam transformations on the complementarity relations associated with the degree of coherence, the intensity distinguishability, and the concurrence. We illustrate the results with the help of Gaussian Schell-model beams. Nonabsorbing beam splitters, which are key elements in optical systems, are practical realizations of spatial unitary transformations.
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