Discussion on Fresnel's mirrors and Young's double-slit interferometers

In this work, Fresnel's mirror and Young's double-slit experiments are compared. Numerical calculations show that Fresnel's experiment and Young's experiment present significant differences between their interference patterns when the optical source is extended rather than point-like. Those differences agree with the analogous between the overlapping of two quasi-monochromatic beams on the temporal domain (the analogous of Young's experiment) and these same beams superimposed previous modulation with sawtooth-wave (the analogous of Fresnel's interferometer). The implemented algorithms allow evaluating the cases of fully spatially coherence, fully spatially incoherence and spatially partially coherence. Computer simulations are presented to show the validity of our proposal.