Three effects are known with 3-D periodicities: If a coherent wavefield is periodic in the lateral direction, it is also periodic in the longitudinal direction (Talbot). If a coherent wavefield is longitudinally periodic, it may or may not be periodic also in the lateral direction; but also certain aperiodic objects will cause longitudinal periodicity (Montgomery). If a wavefield starts completely incoherent but with lateral periodic intensity distribution, the state of partial coherence will vary periodically in the longitudinal direction (Lau). We study generalizations of these three effects, assuming quasimonochromatic light with arbitrary states of partial coherence.
© 1989 Optical Society of America
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