Propagation of cross-correlation function in dividing-wavefront interferometry

In interferometry, the interesting information is mostly concerned in cross-correlation function (CCF), which will generate the modulation of interference patterns. So with the Fresnel diffraction theory and Collins equation, the propagation of CCF in dividing-wavefront interferometry is studied in this paper. And the formula about its propagation in terms of optical matrix elements is given. The intensity distribution of interference patterns in Mechelson and Shearing Interferometer is also analyzed.