Multiple images with spots similar to those produced by a Gaussian Schell-model (GSM) source are realized in the observation plane of the Fresnel diffraction region at a distance 4NZ<sub>T</sub> (N, a positive integer; Z<sub>T</sub>, Talbot distance) from the GSM source. In this formation the grating with apertures of a Gaussian amplitude transmittance is placed midway between the GSM source and the observation plane. We base our analysis on coherence theory, using the propagation of the ambiguity function from which the average intensity can be derived. It is found that the intensity distribution of the spots in the multiple images becomes wider with decreases in the source size, the spatial-coherence length of the source, and each aperture size of the grating used.
© 1994 Optical Society of America
Hiroyuki Yoshimura, Nobukatsu Takai, and Toshimitsu Asakura, "Realization of multiple images resulting from the partially coherent light from a Gaussian Schell-model source," J. Opt. Soc. Am. A 11, 2112-2120 (1994)