The intensity distribution in the Fraunhofer diffraction patterns of slit and circular apertures illuminated with partially coherent light is examined both theoretically and experimentally. It is shown that a detailed knowledge of the mutual coherence function across the diffracting aperture is required to describe fully the diffraction phenomena.
ROBERT A. SHORE, BRIAN J. THOMPSON, and ROBERT E. WHITNEY, "Diffraction by Apertures Illuminated with Partially Coherent Light," J. Opt. Soc. Am. 56, 733-735 (1966)