The complex degree of coherence and the resulting van Cittert–Zernike theorem are employed to analyze the exit of an arbitrary amplitude-division interferometer with two-beam interferences. Considering that the source is a periodic array of spatially incoherent slits and assuming negligible equivalent aberrations and no vignetting, an expression for the complex degree of coherence as a function of the position of an exit point is derived. Formulas for the location, fringe spacing, and fringe localization depth of the multilocalized fringes are given.
© 2000 Optical Society of America
Original Manuscript: September 14, 1999
Revised Manuscript: March 9, 2000
Manuscript Accepted: March 9, 2000
Published: July 1, 2000
Silvia A. Comastri, Juan M. Simon, and Catherine Tardin, "Multilocalization and the van Cittert–Zernike theorem. 1. Theory," J. Opt. Soc. Am. A 17, 1265-1276 (2000)