Wj. Wang et al., FOCUSING OF PARTIALLY COHERENT-LIGHT IN SYSTEMS OF LARGE FRESNEL NUMBERS, Journal of the Optical Society of America. A, Optics, image science,and vision., 14(2), 1997, pp. 491-496
A theory is developed for analysing the structure of a focused random
field in systems of large Fresnel numbers. The analysis provides a gen
eral expression for the cross-spectral density of the focused field in
terms of the cross-spectral density of the random field on a spherica
l reference surface in the region of the diffracting aperture. The res
ults are illustrated by considering the structure of the focal region
in a field produced by focusing a partially coherent wave whose correl
ation function is frequently encountered in practice. (C) 1997 Optical
Society of America [S0740-3232(97)00602-9]